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H-Transforms: Theory and Applications (Analytical Methods and Special Functions, 9) 🔍
Anatoly A. Kilbas, Megumi Saigo, A. A. Kilbas CRC Press, CRC Press (Unlimited), Boca Raton, Fla, 2004
英语 [en] · PDF · 19.8MB · 2004 · 📗 未知类型的图书 · 🚀/ia · Save
描述
along With More Than 2100 Integral Equations And Their Solutions, This Handbook Outlines Exact Analytical Methods For Solving Linear And Nonlinear Integral Equations And Provides An Evaluation Of Approximate Methods. Each Section Provides Examples That Show How Methods Can Be Applied To Specific Equations.
备选作者
Kilbas, A. A. (Anatoliĭ Aleksandrovich); Saigō, Megumi, 1936-
备选作者
Megumi Saigō
备用出版商
Boca Raton, Fla.: Chapman & Hall/CRC
备用出版商
Ashgate Publishing Limited
备用出版商
Taylor & Francis Ltd
备用出版商
Gower Publishing Ltd
备用版本
Analytical methods and special functions, 9, Boca Raton, Fla, ©2004
备用版本
United Kingdom and Ireland, United Kingdom
备用版本
March 15, 2004
元数据中的注释
obscured text back cover
备用描述
"H-Transforms : Theory and Applications presents a unified approach to the study of a wide class of integral transforms involving special functions as kernels. This approach is based on studying more general integral transforms with H-function kernels. The authors establish the properties, the representation, and the range of such H-transforms and prove their inversion relations." "The authors base their investigation on the method of Mellin multipliers and on the asymptotic analysis of the H-function at zero and infinity. This allows them not only to characterize the theory of H-transforms, but also to extend the h-function to a more general range of parameters, construct the theory of this function, and define more precisely its known properties." "This treatment includes applications to integral transforms with kernels containing Meijer's G-function and various special functions, such as hypergeometric type functions, transforms containing Whittaker and parabolic cylinder functions, and Bessel-type functions. It includes a thorough survey of results in the theory of H- and G-transforms and of integral transforms with hypergeometric and Bessel function kernels and a full bibliography."--BOOK JACKET.
备用描述
For integers m, n, q such that 0 m q, 0 n p, for ai, bj, C with C, the set of complex numbers, and for ai, Bj R+ = (0,) (i = 1, 2, ..., p; j = 1, 2, ..., q), the H-function Hp,q m,n (z) is defined via a Mellin-Barnes type integral in the form (1.1.1) with.
备用描述
This volume presents a unified approach to the study of a wide class of integral transforms containing H- functions as Kernels (or H-Transforms) and their applications. It provides a general introduction to the theory of integral transforms and also
备用描述
xii, 389 p. ; 27 cm
Includes bibliographical references (p. 357-375) and indexes
开源日期
2023-06-28
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