Basic Hypergeometric Series (Encyclopedia of Mathematics and by George Gasper,Mizan Rahman

By George Gasper,Mizan Rahman

This revised and increased new version will proceed to satisfy the wishes for an authoritative, up to date, self contained, and entire account of the swiftly turning out to be box of easy hypergeometric sequence, or q-series. Simplicity, readability, deductive proofs, thoughtfully designed routines, and helpful appendices are between its strengths. the 1st 5 chapters disguise uncomplicated hypergeometric sequence and integrals, when the following 5 are dedicated to purposes in a variety of components together with Askey-Wilson integrals and orthogonal polynomials, walls in quantity conception, a number of sequence, orthogonal polynomials in different variables, and producing services. Chapters Sept. 11 are new for the second one variation, the ultimate bankruptcy containing a simplified model of the most components of the theta and elliptic hypergeometric sequence as a usual extension of the single-base q-series. a few sections and routines were extra to mirror fresh advancements, and the Bibliography has been revised to take care of its comprehensiveness.

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