Year of release: 2013Author: Aski R., Roy R., Andrews J. Translator: Neretin Yu. A. Availability of illustrations: No illustrationsGenre: TextbookPublisher: MTsNMOISBN: 978-5-4439-0210-4Format: PDFQuality: Scanned pagesQuantity pages: 652Scanned by: me

Description: The book is a textbook on the theory of special functions, reflecting significant progress in this area achieved in the second half of the 20th century. Much of the material presented cannot be found in standard monographs and reference books. The main subject of the book is one-dimensional hypergeometric functions in the broad sense of the word (including Gauss, Kummer, Bessel functions, higher pFq, as well as q-series). The G-function, various aspects of the theory of orthogonal polynomials (including neoclassical orthogonal systems of Wilson type), multidimensional Selberg integrals, and analysis on the sphere are discussed in detail. Much space is devoted to applications, including number-theoretic and combinatorial ones (for example, the analysis of McMahon partitions). For specialists in mathematics, theoretical and mathematical physics, applied mathematics, as well as for undergraduate and graduate students of these specialties.