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Asymptotic Forms Of Whittakers Confluent Hypergeometric Functions
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Book Synopsis Asymptotic Forms of Whittaker's Confluent Hypergeometric Functions by : Arthur Erdélyi
Download or read book Asymptotic Forms of Whittaker's Confluent Hypergeometric Functions written by Arthur Erdélyi and published by American Mathematical Soc.. This book was released on 1957 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic forms of Whittaker's confluent hypergeometric functions by : Arthur Erdelyi
Download or read book Asymptotic forms of Whittaker's confluent hypergeometric functions written by Arthur Erdelyi and published by . This book was released on 1957 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Uniform Asymptotic Expansions of Confluent Hypergeometric Functions and Whittaker Functions by : Helge Skovgaard
Download or read book Uniform Asymptotic Expansions of Confluent Hypergeometric Functions and Whittaker Functions written by Helge Skovgaard and published by . This book was released on 1966 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Asymptotic Solutions of a Certain Type of Ordinary Differential Equation of the Second Order, with an Application to Whittaker's Function M[subscript K,m](z). by : Allen D. Ziebur
Download or read book The Asymptotic Solutions of a Certain Type of Ordinary Differential Equation of the Second Order, with an Application to Whittaker's Function M[subscript K,m](z). written by Allen D. Ziebur and published by . This book was released on 1950 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lie Algebras and Lie Groups written by and published by American Mathematical Soc.. This book was released on 1955 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: The American Mathematical Society, with the financial support of the National Science Foundation, held its First Summer Mathematical Institute from June 20 to July 31, 1953. The topic chosen was Lie theory, twenty-nine mathematicians active in this area attended. The six-week period provided opportunity both for the interchange of ideas and for the subsequent shaping of ideas into theorems. The five papers present some results achieved by the participants.--Foreword.
Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by . This book was released on 1957 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Equations with Singular Points by : Charles A. Swanson
Download or read book Differential Equations with Singular Points written by Charles A. Swanson and published by . This book was released on 1956 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic and Computational Analysis by : R. Wong
Download or read book Asymptotic and Computational Analysis written by R. Wong and published by CRC Press. This book was released on 2020-12-17 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at the International Symposium on Asymptotic and Computational Analysis, held June 1989, Winnipeg, Man., sponsored by the Dept. of Applied Mathematics, University of Manitoba and the Canadian Applied Mathematics Society.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotics and Special Functions by : Frank Olver
Download or read book Asymptotics and Special Functions written by Frank Olver and published by CRC Press. This book was released on 1997-01-24 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic reference, intended for graduate students mathematicians, physicists, and engineers, this book can be used both as the basis for instructional courses and as a reference tool.
Book Synopsis Asymptotics and Special Functions by : F. W. J. Olver
Download or read book Asymptotics and Special Functions written by F. W. J. Olver and published by Academic Press. This book was released on 2014-05-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotics and Special Functions provides a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable and contour integrals are discussed, along with the Liouville-Green approximation and connection formulas for solutions of differential equations. Differential equations with regular singularities are also considered, with emphasis on hypergeometric and Legendre functions. Comprised of 14 chapters, this volume begins with an introduction to the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on asymptotic theories of definite integrals containing a parameter. Contour integrals as well as integrals of a real variable are described. Subsequent chapters deal with the analytic theory of ordinary differential equations; differential equations with regular and irregular singularities; sums and sequences; and connection formulas for solutions of differential equations. The book concludes with an evaluation of methods used in estimating (as opposed to bounding) errors in asymptotic approximations and expansions. This monograph is intended for graduate mathematicians, physicists, and engineers.
Book Synopsis Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences by : A. M. Mathai
Download or read book Generalized Hypergeometric Functions with Applications in Statistics and Physical Sciences written by A. M. Mathai and published by Lecture Notes in Mathematics. This book was released on 1973-10-15 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Mathematical Physics by : Michael T. Vaughn
Download or read book Introduction to Mathematical Physics written by Michael T. Vaughn and published by John Wiley & Sons. This book was released on 2008-09-26 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive survey of all the mathematical methods that should be available to graduate students in physics. In addition to the usual topics of analysis, such as infinite series, functions of a complex variable and some differential equations as well as linear vector spaces, this book includes a more extensive discussion of group theory than can be found in other current textbooks. The main feature of this textbook is its extensive treatment of geometrical methods as applied to physics. With its introduction of differentiable manifolds and a discussion of vectors and forms on such manifolds as part of a first-year graduate course in mathematical methods, the text allows students to grasp at an early stage the contemporary literature on dynamical systems, solitons and related topological solutions to field equations, gauge theories, gravitational theory, and even string theory. Free solutions manual available for lecturers at www.wiley-vch.de/supplements/.
Book Synopsis Introduction to Asymptotics and Special Functions by : F. W. J. Olver
Download or read book Introduction to Asymptotics and Special Functions written by F. W. J. Olver and published by Academic Press. This book was released on 2014-05-10 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Asymptotics and Special Functions is a comprehensive introduction to two important topics in classical analysis: asymptotics and special functions. The integrals of a real variable are discussed, along with contour integrals and differential equations with regular and irregular singularities. The Liouville-Green approximation is also considered. Comprised of seven chapters, this volume begins with an overview of the basic concepts and definitions of asymptotic analysis and special functions, followed by a discussion on integrals of a real variable. Contour integrals are then examined, paying particular attention to Laplace integrals with a complex parameter and Bessel functions of large argument and order. Subsequent chapters focus on differential equations having regular and irregular singularities, with emphasis on Legendre functions as well as Bessel and confluent hypergeometric functions. A chapter devoted to the Liouville-Green approximation tackles asymptotic properties with respect to parameters and to the independent variable, eigenvalue problems, and theorems on singular integral equations. This monograph is intended for students needing only an introductory course to asymptotics and special functions.
Book Synopsis Generalized Associated Legendre Functions and Their Applications by : Nina Opanasivna Virchenko
Download or read book Generalized Associated Legendre Functions and Their Applications written by Nina Opanasivna Virchenko and published by World Scientific. This book was released on 2001 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 ?Fq, 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, n?(z) and Qm, n?(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, n?(z) and Qm, n?(z), the classes of dual and triple integral equations associated with the function Pm, n-1/2+i?(chà) etc.
Book Synopsis Theory and Application of Special Functions by : Richard Askey
Download or read book Theory and Application of Special Functions written by Richard Askey and published by Academic Press. This book was released on 2014-05-10 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Semiconductors and Semimetals written by and published by Academic Press. This book was released on 1984-06-11 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semiconductors and Semimetals
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