Theory And Application Of Special Functions PDF Download
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Author | : Mourad E. H. Ismail |
Publisher | : Springer Science & Business Media |
Total Pages | : 497 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 0387242333 |
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A collection of articles on various aspects of q-series and special functions dedicated to Mizan Rahman. 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.
Author | : Richard Askey |
Publisher | : Academic Press |
Total Pages | : 573 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483216160 |
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Theory and Application of Special Functions contains the proceedings of the Advanced Seminar on Special Functions sponsored by the Mathematics Research Center of the University of Wisconsin-Madison and held from March 31 to April 2, 1975. The seminar tackled the theory and application of special functions and covered topics ranging from the asymptotic estimation of special functions to association schemes and coding theory. Some interesting results, conjectures, and problems are given. Comprised of 13 chapters, this book begins with a survey of computational methods in special functions, followed by a discussion on unsolved problems in the asymptotic estimation of special functions. The reader is then introduced to periodic Bernoulli numbers, summation formulas, and applications; problems and prospects for basic hypergeometric functions; and linear growth models with many types and multidimensional Hahn polynomials. Subsequent chapters explore two-variable analogues of the classical orthogonal polynomials; special functions of matrix and single argument in statistics; and some properties of the determinants of orthogonal polynomials. This monograph is intended primarily for students and practitioners of mathematics.
Author | : N. N. Lebedev |
Publisher | : Courier Corporation |
Total Pages | : 340 |
Release | : 2012-04-30 |
Genre | : Mathematics |
ISBN | : 0486139891 |
Download Special Functions & Their Applications Book in PDF, ePub and Kindle
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 | : George E. Andrews |
Publisher | : Cambridge University Press |
Total Pages | : 684 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 9780521789882 |
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An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Author | : Xiao-Jun Yang |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2023-01-15 |
Genre | : Mathematics |
ISBN | : 9789813363366 |
Download Theory and Applications of Special Functions for Scientists and Engineers Book in PDF, ePub and Kindle
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 | : B G Korenev |
Publisher | : CRC Press |
Total Pages | : 290 |
Release | : 2002-07-25 |
Genre | : Mathematics |
ISBN | : 9780203216927 |
Download Bessel Functions and Their Applications Book in PDF, ePub and Kindle
Bessel functions are associated with a wide range of problems in important areas of mathematical physics. Bessel function theory is applied to problems of acoustics, radio physics, hydrodynamics, and atomic and nuclear physics. Bessel Functions and Their Applications consists of two parts. In Part One, the author presents a clear and rigorous intro
Author | : A.M. Mathai |
Publisher | : Springer Science & Business Media |
Total Pages | : 276 |
Release | : 2009-10-10 |
Genre | : Science |
ISBN | : 1441909168 |
Download The H-Function Book in PDF, ePub and Kindle
TheH-function or popularly known in the literature as Fox’sH-function has recently found applications in a large variety of problems connected with reaction, diffusion, reaction–diffusion, engineering and communication, fractional differ- tial and integral equations, many areas of theoretical physics, statistical distribution theory, etc. One of the standard books and most cited book on the topic is the 1978 book of Mathai and Saxena. Since then, the subject has grown a lot, mainly in the elds of applications. Due to popular demand, the authors were requested to - grade and bring out a revised edition of the 1978 book. It was decided to bring out a new book, mostly dealing with recent applications in statistical distributions, pa- way models, nonextensive statistical mechanics, astrophysics problems, fractional calculus, etc. and to make use of the expertise of Hans J. Haubold in astrophysics area also. It was decided to con ne the discussion toH-function of one scalar variable only. Matrix variable cases and many variable cases are not discussed in detail, but an insight into these areas is given. When going from one variable to many variables, there is nothing called a unique bivariate or multivariate analogue of a givenfunction. Whatever be the criteria used, there may be manydifferentfunctions quali ed to be bivariate or multivariate analogues of a given univariate function. Some of the bivariate and multivariateH-functions, currently in the literature, are also questioned by many authors.
Author | : A.M. Mathai |
Publisher | : Springer Science & Business Media |
Total Pages | : 480 |
Release | : 2008-02-13 |
Genre | : Science |
ISBN | : 0387758941 |
Download Special Functions for Applied Scientists Book in PDF, ePub and Kindle
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 | : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov |
Publisher | : Oxford University Press, USA |
Total Pages | : 318 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 9780198505730 |
Download Special Functions Book in PDF, ePub and Kindle
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 | : Larry C. Andrews |
Publisher | : SPIE Press |
Total Pages | : 512 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : 9780819426161 |
Download Special Functions of Mathematics for Engineers Book in PDF, ePub and Kindle
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.