Theory And Applications Of Special Functions For Scientists And Engineers

Author : Xiao-Jun Yang
Publisher : Unknown
Page : 0 pages
File Size : 45,8 Mb
Release : 2021
Category : Electronic
ISBN : 9813363355

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Theory and Applications of Special Functions for Scientists and Engineers by Xiao-Jun Yang Pdf

This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors. The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.

Author : Larry C. Andrews
Publisher : SPIE Press
Page : 512 pages
File Size : 46,8 Mb
Release : 1998
Category : Mathematics
ISBN : 0819426164

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Special Functions of Mathematics for Engineers by Larry C. Andrews Pdf

Modern engineering and physical science applications demand a thorough knowledge of applied mathematics, particularly special functions. These typically arise in applications such as communication systems, electro-optics, nonlinear wave propagation, electromagnetic theory, electric circuit theory, and quantum mechanics. This text systematically introduces special functions and explores their properties and applications in engineering and science.

Author : Xiao-Jun Yang
Publisher : Springer
Page : 895 pages
File Size : 45,5 Mb
Release : 2022-01-14
Category : Mathematics
ISBN : 9813363339

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Theory and Applications of Special Functions for Scientists and Engineers by Xiao-Jun Yang Pdf

This book provides the knowledge of the newly-established supertrigonometric and superhyperbolic functions with the special functions such as Mittag-Leffler, Wiman, Prabhakar, Miller-Ross, Rabotnov, Lorenzo-Hartley, Sonine, Wright and Kohlrausch-Williams-Watts functions, Gauss hypergeometric series and Clausen hypergeometric series. The special functions can be considered to represent a great many of the real-world phenomena in mathematical physics, engineering and other applied sciences. The audience benefits of new and original information and references in the areas of the special functions applied to model the complex problems with the power-law behaviors. The results are important and interesting for scientists and engineers to represent the complex phenomena arising in applied sciences therefore graduate students and researchers in mathematics, physics and engineering might find this book appealing.

Author : W. W. Bell
Publisher : Courier Corporation
Page : 272 pages
File Size : 52,9 Mb
Release : 2013-07-24
Category : Technology & Engineering
ISBN : 9780486317564

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Special Functions for Scientists and Engineers by W. W. Bell Pdf

Physics, chemistry, and engineering undergraduates will benefit from this straightforward guide to special functions. Its topics possess wide applications in quantum mechanics, electrical engineering, and many other fields. 1968 edition. Includes 25 figures.

Author : A.M. Mathai,H.J. Haubold
Publisher : Springer Science & Business Media
Page : 480 pages
File Size : 55,5 Mb
Release : 2008-02-13
Category : Science
ISBN : 9780387758947

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Special Functions for Applied Scientists by A.M. Mathai,H.J. Haubold Pdf

This book, written by a highly distinguished author, provides the required mathematical tools for researchers active in the physical sciences. The book presents a full suit of elementary functions for scholars at PhD level. The opening chapter introduces elementary classical special functions. The final chapter is devoted to the discussion of functions of matrix argument in the real case. The text and exercises have been class-tested over five different years.

Author : N. N. Lebedev
Publisher : Courier Corporation
Page : 340 pages
File Size : 41,6 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486139890

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Special Functions & Their Applications by N. N. Lebedev Pdf

Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.

Author : Iryna Fedotova,Nina Virchenko
Publisher : World Scientific
Page : 217 pages
File Size : 42,6 Mb
Release : 2001-04-30
Category : Mathematics
ISBN : 9789814492812

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Generalized Associated Legendre Functions And Their Applications by Iryna Fedotova,Nina Virchenko Pdf

The various types of special functions have become essential tools for scientists and engineers. One of the important classes of special functions is of the hypergeometric type. It includes all classical hypergeometric functions such as the well-known Gaussian hypergeometric functions, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions ρFq, Meijer's G-function, Fox's H-function, etc.Application of the new special functions allows one to increase considerably the number of problems whose solutions are found in a closed form, to examine these solutions, and to investigate the relationships between different classes of the special functions.This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, Pm,nκ(z) and Qm,nκ(z), which are important representatives of the hypergeometric functions. They occur as generalizations of classical Legendre functions of the first and the second kind respectively. The authors use various methods of contour integration to obtain important properties of the generalized associated Legnedre functions as their series representations, asymptotic formulas in a neighborhood of singular points, zero properties, connection with Jacobi functions, Bessel functions, elliptic integrals and incomplete beta functions.The book also presents the theory of factorization and composition structure of integral operators associated with the generalized associated Legendre function, the fractional integro-differential properties of the functions Pm,nκ(z) and Qm,nκ(z), the classes of dual and triple integral equations associated with the function Pm,n-1/2+iς(chα) etc.

Author : Selcuk S. Bayin
Publisher : John Wiley & Sons
Page : 742 pages
File Size : 46,5 Mb
Release : 2018-03-27
Category : Education
ISBN : 9781119425397

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Mathematical Methods in Science and Engineering by Selcuk S. Bayin Pdf

A Practical, Interdisciplinary Guide to Advanced Mathematical Methods for Scientists and Engineers Mathematical Methods in Science and Engineering, Second Edition, provides students and scientists with a detailed mathematical reference for advanced analysis and computational methodologies. Making complex tools accessible, this invaluable resource is designed for both the classroom and the practitioners; the modular format allows flexibility of coverage, while the text itself is formatted to provide essential information without detailed study. Highly practical discussion focuses on the “how-to” aspect of each topic presented, yet provides enough theory to reinforce central processes and mechanisms. Recent growing interest in interdisciplinary studies has brought scientists together from physics, chemistry, biology, economy, and finance to expand advanced mathematical methods beyond theoretical physics. This book is written with this multi-disciplinary group in mind, emphasizing practical solutions for diverse applications and the development of a new interdisciplinary science. Revised and expanded for increased utility, this new Second Edition: Includes over 60 new sections and subsections more useful to a multidisciplinary audience Contains new examples, new figures, new problems, and more fluid arguments Presents a detailed discussion on the most frequently encountered special functions in science and engineering Provides a systematic treatment of special functions in terms of the Sturm-Liouville theory Approaches second-order differential equations of physics and engineering from the factorization perspective Includes extensive discussion of coordinate transformations and tensors, complex analysis, fractional calculus, integral transforms, Green's functions, path integrals, and more Extensively reworked to provide increased utility to a broader audience, this book provides a self-contained three-semester course for curriculum, self-study, or reference. As more scientific disciplines begin to lean more heavily on advanced mathematical analysis, this resource will prove to be an invaluable addition to any bookshelf.

Author : S.I. Hayek
Publisher : CRC Press
Page : 862 pages
File Size : 48,8 Mb
Release : 2010-06-22
Category : Mathematics
ISBN : 9781420081985

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Advanced Mathematical Methods in Science and Engineering by S.I. Hayek Pdf

Classroom-tested, Advanced Mathematical Methods in Science and Engineering, Second Edition presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book. After introducing integration and solution methods of ordinary differential equations (ODEs), the book presents Bessel and Legendre functions as well as the derivation and methods of solution of linear boundary value problems for physical systems in one spatial dimension governed by ODEs. It also covers complex variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of integral transforms; Green’s functions for ODEs and PDEs; asymptotic methods for evaluating integrals; and the asymptotic solution of ODEs. New to this edition, the final chapter offers an extensive treatment of numerical methods for solving non-linear equations, finite difference differentiation and integration, initial value and boundary value ODEs, and PDEs in mathematical physics. Chapters that cover boundary value problems and PDEs contain derivations of the governing differential equations in many fields of applied physics and engineering, such as wave mechanics, acoustics, heat flow in solids, diffusion of liquids and gases, and fluid flow. An update of a bestseller, this second edition continues to give students the strong foundation needed to apply mathematical techniques to the physical phenomena encountered in scientific and engineering applications.

Author : Larry C. Andrews
Publisher : Unknown
Page : 376 pages
File Size : 45,9 Mb
Release : 1985
Category : Mathematics
ISBN : UOM:39015009846844

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Special Functions for Engineers and Applied Mathematicians by Larry C. Andrews Pdf

Author : Bipin Singh Koranga,Sanjay Kumar Padaliya,Vivek Kumar Nautiyal
Publisher : CRC Press
Page : 123 pages
File Size : 50,7 Mb
Release : 2022-09-01
Category : Mathematics
ISBN : 9781000795592

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Special Functions and their Application by Bipin Singh Koranga,Sanjay Kumar Padaliya,Vivek Kumar Nautiyal Pdf

Special functions are mathematical functions that have established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications. This short text gives clear descriptions and explanations of the Gamma function, the Probability Integral and its related functions, Spherical Harmonics Theory, The Bessel function, Hermite polynomials and Laguerre polynomials. Each chapter finishes with a description of how the function is most commonly applied and a set of examples for the student to work through.

Author : Murray S. Klamkin
Publisher : SIAM
Page : 613 pages
File Size : 44,6 Mb
Release : 1990-01-01
Category : Mathematics
ISBN : 1611971721

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Problems in Applied Mathematics by Murray S. Klamkin Pdf

People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry.

Author : Yury A. Brychkov
Publisher : CRC Press
Page : 702 pages
File Size : 51,7 Mb
Release : 2008-05-28
Category : Mathematics
ISBN : 9781584889571

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Handbook of Special Functions by Yury A. Brychkov Pdf

Because of the numerous applications involved in this field, the theory of special functions is under permanent development, especially regarding the requirements for modern computer algebra methods. The Handbook of Special Functions provides in-depth coverage of special functions, which are used to help solve many of the most difficult problems in

Author : Vasudevan Lakshminarayanan,L. Srinivasa Varadharajan
Publisher : SPIE-International Society for Optical Engineering
Page : 0 pages
File Size : 43,5 Mb
Release : 2015
Category : Optical engineering
ISBN : 1628418877

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Special Functions for Optical Science and Engineering by Vasudevan Lakshminarayanan,L. Srinivasa Varadharajan Pdf

This tutorial text is for those who use special functions in their work or study but are not mathematicians. Traditionally, special functions arise as solutions to certain linear second-order differential equations with variable coefficients. This book introduces these differential equations, their solutions, and their applications in optical science and engineering.

Author : Larry C. Andrews,Ronald L. Phillips
Publisher : SPIE Press
Page : 822 pages
File Size : 48,6 Mb
Release : 2003
Category : Mathematics
ISBN : 0819445061

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Mathematical Techniques for Engineers and Scientists by Larry C. Andrews,Ronald L. Phillips Pdf

"This self-study text for practicing engineers and scientists explains the mathematical tools that are required for advanced technological applications, but are often not covered in undergraduate school. The authors (University of Central Florida) describe special functions, matrix methods, vector operations, the transformation laws of tensors, the analytic functions of a complex variable, integral transforms, partial differential equations, probability theory, and random processes. The book could also serve as a supplemental graduate text."--Memento.