Asymptotic Forms Of Whittaker S Confluent Hypergeometric Functions
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Asymptotic Forms of Whittaker s Confluent Hypergeometric Functions
Author | : Arthur Erdélyi,Charles Andrew Swanson |
Publsiher | : American Mathematical Soc. |
Total Pages | : 50 |
Release | : 1957 |
Genre | : Mathematics |
ISBN | : 9780821812259 |
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Uniform Asymptotic Expansions of Confluent Hypergeometric Functions and Whittaker Functions
Author | : Helge Skovgaard |
Publsiher | : Unknown |
Total Pages | : 104 |
Release | : 1966 |
Genre | : Asymptotic expansions |
ISBN | : UCAL:B2672301 |
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Confluent Hypergeometric Functions
Author | : Lucy Joan Slater |
Publsiher | : Unknown |
Total Pages | : 272 |
Release | : 1960 |
Genre | : Mathematics |
ISBN | : STANFORD:36105030096007 |
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Asymptotics and Special Functions
Author | : Frank Olver |
Publsiher | : CRC Press |
Total Pages | : 592 |
Release | : 1997-01-24 |
Genre | : Mathematics |
ISBN | : 9781439864548 |
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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.
Asymptotics and Special Functions
Author | : F. W. J. Olver |
Publsiher | : Academic Press |
Total Pages | : 589 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 9781483267449 |
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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.
Handbook of Mathematical Functions
Author | : Milton Abramowitz,Irene A. Stegun |
Publsiher | : Courier Corporation |
Total Pages | : 1068 |
Release | : 1965-01-01 |
Genre | : Mathematics |
ISBN | : 0486612724 |
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An extensive summary of mathematical functions that occur in physical and engineering problems
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
Author | : Allen D. Ziebur |
Publsiher | : Unknown |
Total Pages | : 142 |
Release | : 1950 |
Genre | : Electronic Book |
ISBN | : WISC:89011011574 |
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Selected Papers of F W J Olver
Author | : Frank W. J. Olver |
Publsiher | : World Scientific |
Total Pages | : 548 |
Release | : 2000 |
Genre | : Asymptotic expansions |
ISBN | : 9810249942 |
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