| 书目名称 | The Hypergeometric Approach to Integral Transforms and Convolutions | | 编辑 | Semen B. Yakubovich,Yurii F. Luchko | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | The aim of this book is to develop a new approach which we called the hyper geometric one to the theory of various integral transforms, convolutions, and their applications to solutions of integro-differential equations, operational calculus, and evaluation of integrals. We hope that this simple approach, which will be explained below, allows students, post graduates in mathematics, physicists and technicians, and serious mathematicians and researchers to find in this book new interesting results in the theory of integral transforms, special functions, and convolutions. The idea of this approach can be found in various papers of many authors, but systematic discussion and development is realized in this book for the first time. Let us explain briefly the basic points of this approach. As it is known, in the theory of special functions and its applications, the hypergeometric functions play the main role. Besides known elementary functions, this class includes the Gauss‘s, Bessel‘s, Kummer‘s, functions et c. In general case, the hypergeometric functions are defined as a linear combinations of the Mellin-Barnes integrals. These ques tions are extensively discussed in Chapter 1. Mor | | 出版日期 | Book 1994 | | 关键词 | Cauchy problem; Integral equation; convolution; differential equation; differential operator; integral tr | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-1196-6 | | isbn_softcover | 978-94-010-4523-0 | | isbn_ebook | 978-94-011-1196-6 | | copyright | Springer Science+Business Media Dordrecht 1994 |
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发表于 2025-3-21 19:41:53
