Asymptotic Forms of Whittaker's Confluent Hypergeometric Functions
Author: Arthur Erdélyi
Publisher: American Mathematical Soc.
Published: 1957
Total Pages: 60
ISBN-13: 0821812254
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Uniform Asymptotic Expansions of Confluent Hypergeometric Functions and Whittaker Functions
Author: Helge Skovgaard
Publisher:
Published: 1966
Total Pages: 104
ISBN-13:
DOWNLOAD EBOOKLie Algebras and Lie Groups
Author:
Publisher: American Mathematical Soc.
Published: 1955
Total Pages: 65
ISBN-13: 0821812149
DOWNLOAD EBOOKThe 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.
Catalog of Copyright Entries. Third Series
Author: Library of Congress. Copyright Office
Publisher:
Published: 1957
Total Pages: 868
ISBN-13:
DOWNLOAD EBOOKAsymptotic and Computational Analysis
Author: R. Wong
Publisher: CRC Press
Published: 2020-12-17
Total Pages: 782
ISBN-13: 1000154130
DOWNLOAD EBOOKPapers 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.
Asymptotics and Special Functions
Author: Frank Olver
Publisher: CRC Press
Published: 1997-01-24
Total Pages: 591
ISBN-13: 1439864543
DOWNLOAD EBOOKA 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.
Asymptotics and Special Functions
Author: F. W. J. Olver
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 589
ISBN-13: 148326744X
DOWNLOAD EBOOKAsymptotics 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.
Introduction to Mathematical Physics
Author: Michael T. Vaughn
Publisher: John Wiley & Sons
Published: 2008-09-26
Total Pages: 543
ISBN-13: 3527618864
DOWNLOAD EBOOKA 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/.
Introduction to Asymptotics and Special Functions
Author: F. W. J. Olver
Publisher: Academic Press
Published: 2014-05-10
Total Pages: 312
ISBN-13: 1483267083
DOWNLOAD EBOOKIntroduction 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.
