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Author : Clifford Truesdell
Publisher : Princeton University Press
Page : 182 pages
File Size : 44,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882373
The description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18, will be forthcoming.
Author : Clifford Truesdell
Publisher : Unknown
Page : 200 pages
File Size : 49,5 Mb
Release : 1948
Category : Functional equations
ISBN : UOM:39015017416705
Author : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov,Wolfgang Lay
Publisher : Oxford University Press, USA
Page : 318 pages
File Size : 53,6 Mb
Release : 2000
Category : Mathematics
ISBN : 0198505736
The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a useful text and reference work.
Author : Clifford Truesdell
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 1948
Category : Functional equations
ISBN : OCLC:1411370870
Author : Clifford A. Truesdell
Publisher : Unknown
Page : 128 pages
File Size : 51,7 Mb
Release : 1948-01-01
Category : Electronic
ISBN : 0527027340
Author : Refaat El Attar
Publisher : Lulu.com
Page : 311 pages
File Size : 55,8 Mb
Release : 2005-12-06
Category : Technology & Engineering
ISBN : 9780557037636
(Hardcover). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.
Author : Refaat El Attar
Publisher : Lulu.com
Page : 312 pages
File Size : 54,5 Mb
Release : 2006
Category : Mathematics
ISBN : 9781411666900
(308 Pages). This book is written to provide an easy to follow study on the subject of Special Functions and Orthogonal Polynomials. It is written in such a way that it can be used as a self study text. Basic knowledge of calculus and differential equations is needed. The book is intended to help students in engineering, physics and applied sciences understand various aspects of Special Functions and Orthogonal Polynomials that very often occur in engineering, physics, mathematics and applied sciences. The book is organized in chapters that are in a sense self contained. Chapter 1 deals with series solutions of Differential Equations. Gamma and Beta functions are studied in Chapter 2 together with other functions that are defined by integrals. Legendre Polynomials and Functions are studied in Chapter 3. Chapters 4 and 5 deal with Hermite, Laguerre and other Orthogonal Polynomials. A detailed treatise of Bessel Function in given in Chapter 6.
Author : Richard Beals,Roderick Wong
Publisher : Cambridge University Press
Page : 128 pages
File Size : 47,9 Mb
Release : 2010-08-12
Category : Mathematics
ISBN : 9781139490436
The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.
Author : Galina Filipuk,Alberto Lastra,Sławomir Michalik,Yoshitsugu Takei,Henryk Żołądek
Publisher : Walter de Gruyter GmbH & Co KG
Page : 473 pages
File Size : 46,6 Mb
Release : 2019-11-18
Category : Mathematics
ISBN : 9783110611427
With a balanced combination of longer survey articles and shorter, peer-reviewed research-level presentations on the topic of differential and difference equations on the complex domain, this edited volume presents an up-to-date overview of areas such as WKB analysis, summability, resurgence, formal solutions, integrability, and several algebraic aspects of differential and difference equations.
Author : Richard Beals,Roderick Wong
Publisher : Cambridge University Press
Page : 489 pages
File Size : 53,8 Mb
Release : 2016-05-17
Category : Mathematics
ISBN : 9781107106987
A comprehensive graduate-level introduction to classical and contemporary aspects of special functions.
Author : Şengül Kuru,Javier Negro,Luis M. Nieto
Publisher : Springer
Page : 434 pages
File Size : 40,7 Mb
Release : 2019-07-12
Category : Science
ISBN : 9783030200879
This volume shares and makes accessible new research lines and recent results in several branches of theoretical and mathematical physics, among them Quantum Optics, Coherent States, Integrable Systems, SUSY Quantum Mechanics, and Mathematical Methods in Physics. In addition to a selection of the contributions presented at the "6th International Workshop on New Challenges in Quantum Mechanics: Integrability and Supersymmetry", held in Valladolid, Spain, 27-30 June 2017, several high quality contributions from other authors are also included. The conference gathered 60 participants from many countries working in different fields of Theoretical Physics, and was dedicated to Prof. Véronique Hussin—an internationally recognized expert in many branches of Mathematical Physics who has been making remarkable contributions to this field since the 1980s. The reader will find interesting reviews on the main topics from internationally recognized experts in each field, as well as other original contributions, all of which deal with recent applications or discoveries in the aforementioned areas.
Author : Harry Hochstadt
Publisher : Courier Corporation
Page : 354 pages
File Size : 41,6 Mb
Release : 2012-04-30
Category : Science
ISBN : 9780486168784
A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics. In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest. Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics. Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations. Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.
Author : BECKENBACH
Publisher : Birkhäuser
Page : 454 pages
File Size : 47,7 Mb
Release : 2013-11-22
Category : Science
ISBN : 9783034863247
Author : P. J. Feinsilver
Publisher : Springer
Page : 119 pages
File Size : 43,5 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540355540
Author : Hasmat Malik,Atif Iqbal,Puneet Joshi,Sanjay Agrawal,Farhad Ilahi Bakhsh
Publisher : Springer Nature
Page : 830 pages
File Size : 45,9 Mb
Release : 2020-10-08
Category : Technology & Engineering
ISBN : 9789811575716
This book addresses the principles and applications of metaheuristic approaches in engineering and related fields. The first part covers metaheuristics tools and techniques such as ant colony optimization and Tabu search, and their applications to several classes of optimization problems. In turn, the book’s second part focuses on a wide variety of metaheuristics applications in engineering and/or the applied sciences, e.g. in smart grids and renewable energy. In addition, the simulation codes for the problems discussed are included in an appendix for ready reference. Intended for researchers aspiring to learn and apply metaheuristic techniques, and gathering contributions by prominent experts in the field, the book offers readers an essential introduction to metaheuristics, its theoretical aspects and applications.