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

By George Gasper,Mizan Rahman

This revised and increased re-creation will proceed to satisfy the desires for an authoritative, up to date, self contained, and finished account of the speedily starting to be box of simple hypergeometric sequence, or q-series. Simplicity, readability, deductive proofs, thoughtfully designed routines, and worthy appendices are between its strengths. the 1st 5 chapters conceal simple hypergeometric sequence and integrals, while the following 5 are dedicated to functions in quite a few parts together with Askey-Wilson integrals and orthogonal polynomials, walls in quantity thought, a number of sequence, orthogonal polynomials in different variables, and producing services. Chapters Sep 11 are new for the second one version, the ultimate bankruptcy containing a simplified model of the most parts of the theta and elliptic hypergeometric sequence as a average extension of the single-base q-series. a few sections and routines were extra to mirror contemporary advancements, and the Bibliography has been revised to keep up its comprehensiveness.

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

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