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

By George Gasper,Mizan Rahman

This revised and multiplied re-creation will proceed to fulfill the desires for an authoritative, up to date, self contained, and complete account of the quickly growing to be box of simple hypergeometric sequence, or q-series. Simplicity, readability, deductive proofs, thoughtfully designed routines, and important appendices are between its strengths. the 1st 5 chapters hide uncomplicated hypergeometric sequence and integrals, when the following 5 are dedicated to purposes in a number 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 capabilities. Chapters Sept. 11 are new for the second one version, 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 workouts were extra to mirror fresh advancements, and the Bibliography has been revised to take care of its comprehensiveness.

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