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Special functions and their applications.
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Nikolai Nikolaevich Lebedev
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Special Functions
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George E Andrews, Richard Askey, Ranjan Roy
Special functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the foundations for this beautiful and useful area of mathematics. This treatise presents an overview of special functions, focusing ...
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Special Functions for Applied Scientists
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A M Mathai, Hans J Haubold
Chapter 1 introduces elementary classical special functions. Gamma, beta, psi, zeta functions, hypergeometric functions and the associated special functions, generalizations to Meijer's G and Fox's H-functions are examined here. Discussion is confined to basic properties and selected applications. Introduction to statistical distribution theory is ...
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Special Functions, Kz Type Equations, and Representation Theory
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A N Varchenko
The last twenty years have seen an active interaction between mathematics and physics. This book is devoted to one of the new areas which deals with mathematical structures related to conformal field theory and its $q$-deformations. In the book, the author discusses the interplay between Knizhnik-Zamolodchikov type equations, the Bethe ansatz ...
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Advances in Inequalities for Special Functions
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Pietro Cerone (Editor), Sever S Dragomir (Editor)
This book is the first in a collection of research monographs that are devoted to presenting recent research, development and use of Mathematical Inequalities for Special Functions. All the papers incorporated in the book have peen peer-reviewed and cover a range of topics that include both survey material of previously published works as well as ...
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Approximation and Computation: A Festschrift in Honor of Walter Gautschi
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R. V. M. Zahar (Editor)
In recognition of Walter Gautschi's many contributions to mathematics and computer science, and to celebrate his 65th birthday, an international conference was held in his honour at Purdue University in December 1993. These papers are taken from that conference. This book provides a survey of current topics in the fields of approximation, ...
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Special Functions: A Unified Theory Based on Singularities
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Sergei Yuryevitsh Slavyanov, S Iu Slavianov, Wolfgang Lay
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 ...
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Special functions group theoretical aspects and applications
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Askey, Koornwinder, Schempp
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Asymptotics and Special Functions
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Frank W J Olver
Among the topics covered in this introductory text are: asymptotic theories of definite integrals containing a parameter; ordinary differential equations; and sums and sequences. Special functions are introduced in chapter two and developed throughout the text.
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Special Functions of Mathematics for Engineers
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Larry C Andrews
This book systematically introduces important special functions and explores their salient properties. Suitable as a classroom textbook in courses dealing with higher mathematical functions or as a reference text for practicing engineers and scientists.
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The Functions of Mathematical Physics
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by
Harry Hochstadt
Comprehensive text provides a detailed treatment of orthogonal polynomials, principal properties of the gamma function, hypergeometric functions, Legendre functions, confluent hypergeometric functions, and Hill's equation.
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Representation of lie groups and special functions recent advances
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Vilenkin, Klimyk 1939-
This text is a continuation of the three-volume work "Representation of Lie Groups and Special Functions" by the same authors. Here, they deal with the exposition of the main new developments in the contemporary theory of multivariate special functions. The theory of orthogonal symmetric polynomials (Jack polynomials, Macdonald's polynomials and ...
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Orthogonal polynomials and special functions
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Richard Askey
Originally presented as lectures, the theme of this volume is that one studies orthogonal polynomials and special functions not for their own sake, but to be able to use them to solve problems. The author presents problems suggested by the isometric embedding of projective spaces in other projective spaces, by the desire to construct large classes ...
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Handbook of Special Functions: Derivatives, Integrals, Series and Other Formulas
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Yury A Brychkov
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 ...
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C Mathematical Function Handbook
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by
Louis Baker
C source code, algorithms and applications for a wide range of valuable scientific and engineering mathematical functions. Each function is discussed in detail with algorithms, applications, and key referneces. Includes a separate 3 1/2" disk.
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Special functions of mathematical physics a unified introduction with applications
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Nikiforov, Uvarov
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Special Functions: An Introduction to the Classical Functions of Mathematical Physics
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M M Temme, Nico M Temme
This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, ...
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Special Functions 2000: Current Perspective and Future Directions
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Joaquin Bustoz (Editor), Mourad E H Ismail (Editor), Sergei K Suslov
The Advanced Study Institute brought together researchers in the main areas of special functions and applications to present recent developments in the theory, review the accomplishments of past decades, and chart directions for future research. Some of the topics covered are orthogonal polynomials and special functions in one and several ...
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Theory and Applications of Special Functions: A Volume Dedicated to Mizan Rahman
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Mourad E H Ismail (Editor), Erik Koelink (Editor)
This book, dedicated to Mizan Rahman, is made up of a collection of articles on various aspects of q-series and special functions. It also includes an article by Askey, Ismail, and Koelink on Rahman's mathematical contributions and how they influenced the recent upsurge in the subject.
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Representation of Lie Groups and Special Functions, Volume 3
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by
N Ja Vilenkin, A U Klimyk
This is the last of three major volumes which present a comprehensive treatment of the theory of the main classes of special functions from the point of view of the theory of group representations. This volume deals with q-analogs of special functions, quantum groups and algebras (including Hopf algebras), and (representations of) semi-simple Lie ...
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Group Representations and Special Functions
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Antoni Wawrzynczyk
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Numerical Methods for Special Functions
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Amparo Gil, Javier Segura, Nico M Temme
Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. It considers not only standard and simple ...
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Special functions for engineers and applied mathematicians
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Larry C. Andrews
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Computation of special functions
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Zhang, Jin 1962-
Deals with the automatic computation of special functions which appear in all areas of engineering and the physical sciences. Contains over 100 computer programs written by the authors and describes the algorithms to provide readers with specific information about each individual program. Consisting of three sections, the first one presents an ...
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Laredo Lectures on Orthogonal Polynomials and Special Functions: Focus on the Theory of Special Functions and Orthogonal Polynomials: In "Advances in the Theory of Special Functions and Orthogonal Polynomials"
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Francisco Marcellan
This new book presents research in orthogonal polynomials and special functions. Recent developments in the theory and accomplishments of the last decade are pointed out and directions for research in the future are identified. The topics covered include matrix orthogonal polynomials, spectral theory and special functions, Asymptotics for ...
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