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

By George Gasper,Mizan Rahman

This revised and accelerated new version will proceed to satisfy the desires for an authoritative, updated, self contained, and finished account of the quickly starting to be box of uncomplicated hypergeometric sequence, or q-series. Simplicity, readability, deductive proofs, thoughtfully designed workouts, and important appendices are between its strengths. the 1st 5 chapters hide easy hypergeometric sequence and integrals, while the following 5 are dedicated to functions in a variety of parts together with Askey-Wilson integrals and orthogonal polynomials, walls in quantity concept, a number of sequence, orthogonal polynomials in numerous 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 average extension of the single-base q-series. a few sections and routines were additional to mirror fresh advancements, and the Bibliography has been revised to keep up its comprehensiveness.

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