Integral Transformations Operational Calculus And Their Applications

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Integral Transformations, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher : MDPI
Page : 220 pages
File Size : 53,5 Mb
Release : 2021-01-20
Category : Science
ISBN : 9783039368822

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Integral Transformations, Operational Calculus and Their Applications by Hari Mohan Srivastava Pdf

This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Integral Transformations, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher : Unknown
Page : 220 pages
File Size : 49,6 Mb
Release : 2020
Category : Electronic
ISBN : 3039368834

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Integral Transformations, Operational Calculus and Their Applications by Hari Mohan Srivastava Pdf

This volume consists of a collection of 14 accepted submissions (including several invited feature articles) to the Special Issue of MDPI's journal Symmetry on the general subject area of integral transformations, operational calculus and their applications from many different parts around the world. The main objective of the Special Issue was to gather review, expository, and original research articles dealing with the state-of-the-art advances in integral transformations and operational calculus as well as their multidisciplinary applications, together with some relevance to the aspect of symmetry. Various families of fractional-order integrals and derivatives have been found to be remarkably important and fruitful, mainly due to their demonstrated applications in numerous diverse and widespread areas of mathematical, physical, chemical, engineering, and statistical sciences. Many of these fractional-order operators provide potentially useful tools for solving ordinary and partial differential equations, as well as integral, differintegral, and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics, as well as their extensions and generalizations in one or more variables.

Integral Transforms and Operational Calculus

Author : H. M. Srivastava
Publisher : MDPI
Page : 510 pages
File Size : 51,6 Mb
Release : 2019-11-20
Category : Technology & Engineering
ISBN : 9783039216185

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Integral Transforms and Operational Calculus by H. M. Srivastava Pdf

Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences. This Special Issue contains a total of 36 carefully-selected and peer-reviewed articles which are authored by established researchers from many countries. Included in this Special Issue are review, expository and original research articles dealing with the recent advances on the topics of integral transforms and operational calculus as well as their multidisciplinary applications

Integral Transformation, Operational Calculus and Their Applications

Author : Hari Mohan Srivastava
Publisher : Mdpi AG
Page : 0 pages
File Size : 55,6 Mb
Release : 2022-11-04
Category : Mathematics
ISBN : 3036554815

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Integral Transformation, Operational Calculus and Their Applications by Hari Mohan Srivastava Pdf

The importance and usefulness of subjects and topics involving integral transformations and operational calculus are becoming widely recognized, not only in the mathematical sciences but also in the physical, biological, engineering and statistical sciences. This book contains invited reviews and expository and original research articles dealing with and presenting state-of-the-art accounts of the recent advances in these important and potentially useful subjects.

Theory and Applications of Integral Transformations and Operational Calculus

Author : Jocelyn Cole
Publisher : Willford Press
Page : 0 pages
File Size : 46,9 Mb
Release : 2023-09-26
Category : Mathematics
ISBN : 1647285313

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Theory and Applications of Integral Transformations and Operational Calculus by Jocelyn Cole Pdf

An integral transform maps a function from its original function space onto another function space by integration in which some of the features of the original function could be easier to manipulate and characterize than in the original function space. The function which is transformed can be traced back to the original function generally, through the inverse transform. An integral transform traces an equation from the original domain in the other domain; where solving and manipulating the equation is much easier as compared to the original domain. Operational calculus is a method which transforms differential equations into algebraic problems. The theory of integral transformations and related operational calculus has applications in a variety of fields including physical sciences, engineering, mathematical sciences, statistics and chemical sciences. This book explores all the important aspects of integral transformations and operational calculus. It is meant for students who are looking for an elaborate reference text on the theory and applications of integral transformations and operational calculus.

Integral Transforms and Their Applications

Author : Lokenath Debnath,Dambaru Bhatta
Publisher : CRC Press
Page : 723 pages
File Size : 54,7 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781420010916

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Integral Transforms and Their Applications by Lokenath Debnath,Dambaru Bhatta Pdf

Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises. The most significant changes in the second edition include: New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.

Operational Calculus and Related Topics

Author : A. P. Prudnikov,K.A. Skórnik
Publisher : CRC Press
Page : 420 pages
File Size : 50,5 Mb
Release : 2006-08-15
Category : Mathematics
ISBN : 9781420011494

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Operational Calculus and Related Topics by A. P. Prudnikov,K.A. Skórnik Pdf

Even though the theories of operational calculus and integral transforms are centuries old, these topics are constantly developing, due to their use in the fields of mathematics, physics, and electrical and radio engineering. Operational Calculus and Related Topics highlights the classical methods and applications as well as the recent advan

Integral Transformations, Operational Calculus, and Generalized Functions

Author : R.G. Buschman
Publisher : Springer Science & Business Media
Page : 248 pages
File Size : 53,8 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781461312833

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Integral Transformations, Operational Calculus, and Generalized Functions by R.G. Buschman Pdf

It is not the object of the author to present comprehensive cov erage of any particular integral transformation or of any particular development of generalized functions, for there are books available in which this is done. Rather, this consists more of an introductory survey in which various ideas are explored. The Laplace transforma tion is taken as the model type of an integral transformation and a number of its properties are developed; later, the Fourier transfor mation is introduced. The operational calculus of Mikusinski is pre sented as a method of introducing generalized functions associated with the Laplace transformation. The construction is analogous to the construction of the rational numbers from the integers. Further on, generalized functions associated with the problem of extension of the Fourier transformation are introduced. This construction is anal ogous to the construction of the reals from the rationals by means of Cauchy sequences. A chapter with sections on a variety of trans formations is adjoined. Necessary levels of sophistication start low in the first chapter, but they grow considerably in some sections of later chapters. Background needs are stated at the beginnings of each chapter. Many theorems are given without proofs, which seems appro priate for the goals in mind. A selection of references is included. Without showing many of the details of rigor it is hoped that a strong indication is given that a firm mathematical foundation does actu ally exist for such entities as the "Dirac delta-function".

Integral Transforms and Their Applications, Third Edition

Author : Lokenath Debnath,Dambaru Bhatta
Publisher : CRC Press
Page : 820 pages
File Size : 51,9 Mb
Release : 2014-11-07
Category : Mathematics
ISBN : 9781482223576

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Integral Transforms and Their Applications, Third Edition by Lokenath Debnath,Dambaru Bhatta Pdf

Integral Transforms and Their Applications, Third Edition covers advanced mathematical methods for many applications in science and engineering. The book is suitable as a textbook for senior undergraduate and first-year graduate students and as a reference for professionals in mathematics, engineering, and applied sciences. It presents a systematic development of the underlying theory as well as a modern approach to Fourier, Laplace, Hankel, Mellin, Radon, Gabor, wavelet, and Z transforms and their applications. New to the Third Edition New material on the historical development of classical and modern integral transforms New sections on Fourier transforms of generalized functions, the Poisson summation formula, the Gibbs phenomenon, and the Heisenberg uncertainty principle Revised material on Laplace transforms and double Laplace transforms and their applications New examples of applications in mechanical vibrations, electrical networks, quantum mechanics, integral and functional equations, fluid mechanics, mathematical statistics, special functions, and more New figures that facilitate a clear understanding of physical explanations Updated exercises with solutions, tables of integral transforms, and bibliography Through numerous examples and end-of-chapter exercises, this book develops readers’ analytical and computational skills in the theory and applications of transform methods. It provides accessible working knowledge of the analytical methods and proofs required in pure and applied mathematics, physics, and engineering, preparing readers for subsequent advanced courses and research in these areas.

Multidimensional Integral Transformations

Author : Anonim
Publisher : CRC Press
Page : 404 pages
File Size : 44,6 Mb
Release : 1992
Category : Mathematics
ISBN : 288124839X

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Multidimensional Integral Transformations by Anonim Pdf

A cross between a textbook and a monograph, this extensive introduction discusses all of the most important transformations, compiling information otherwise scattered throughout the literature. Attention is concentrated on the operational calculus of the major integral transformations and some of its applications, with an investigation of transforms in spaces of functions and of distributions. Annotation copyrighted by Book News, Inc., Portland, OR

Operational Calculus in Two Variables and Its Applications

Author : V.A. Ditkin,A.P. Prudnikov
Publisher : Courier Dover Publications
Page : 177 pages
File Size : 46,8 Mb
Release : 2017-09-13
Category : Mathematics
ISBN : 9780486818498

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Operational Calculus in Two Variables and Its Applications by V.A. Ditkin,A.P. Prudnikov Pdf

Concise treatment of fundamental theory explores two-dimensional Laplace transform and basic definitions, theorems, applications of operational calculus in two variables. Includes tables of formulae for various categories of functions. 1962 edition.

Integral Transforms and Operational Calculus

Author : Vitaliĭ Arsenʹevich Ditkin,Anatoliĭ Platonovich Prudnikov
Publisher : Pergamon
Page : 604 pages
File Size : 51,9 Mb
Release : 1965
Category : Mathematics
ISBN : UOM:39015000983075

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Integral Transforms and Operational Calculus by Vitaliĭ Arsenʹevich Ditkin,Anatoliĭ Platonovich Prudnikov Pdf

Fourier transforms -- Laplace transforms -- Bessel transforms -- Other integral transforms -- Operational calculus -- Summary of notation for special functions and certain constraints -- Fourier cosine transforms -- Fourier sine transforms -- Laplace-Carson transforms -- Mellin transforms -- Bessel transforms -- Other integral transforms.

Integral Transforms and Their Applications

Author : Brian Davies
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468492835

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Integral Transforms and Their Applications by Brian Davies Pdf

This is a substantially updated, extended and reorganized third edition of an introductory text on the use of integral transforms. Chapter I is largely new, covering introductory aspects of complex variable theory. Emphasis is on the development of techniques and the connection between properties of transforms and the kind of problems for which they provide tools. Around 400 problems are accompanied in the text. It will be useful for graduate students and researchers working in mathematics and physics.

Integral Transforms and Operational Calculus

Author : Hari Mohan Srivastava
Publisher : Unknown
Page : 510 pages
File Size : 47,8 Mb
Release : 2019
Category : Engineering (General). Civil engineering (General)
ISBN : 3039216198

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Integral Transforms and Operational Calculus by Hari Mohan Srivastava Pdf

Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.

Integral Transforms and Their Applications

Author : B. Davies
Publisher : Springer Science & Business Media
Page : 427 pages
File Size : 40,5 Mb
Release : 2013-11-27
Category : Mathematics
ISBN : 9781475755121

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Integral Transforms and Their Applications by B. Davies Pdf

This book is intended to serve as introductory and reference material for the application of integral transforms to a range of common mathematical problems. It has its im mediate origin in lecture notes prepared for senior level courses at the Australian National University, although I owe a great deal to my colleague Barry Ninham, a matter to which I refer below. In preparing the notes for publication as a book, I have added a considerable amount of material ad- tional to the lecture notes, with the intention of making the book more useful, particularly to the graduate student - volved in the solution of mathematical problems in the physi cal, chemical, engineering and related sciences. Any book is necessarily a statement of the author's viewpoint, and involves a number of compromises. My prime consideration has been to produce a work whose scope is selective rather than encyclopedic; consequently there are many facets of the subject which have been omitted--in not a few cases after a preliminary draft was written--because I v believe that their inclusion would make the book too long.