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

By George Gasper,Mizan Rahman

This revised and elevated re-creation will proceed to satisfy the wishes for an authoritative, updated, self contained, and complete account of the quickly transforming into box of uncomplicated hypergeometric sequence, or q-series. Simplicity, readability, deductive proofs, thoughtfully designed routines, and valuable appendices are between its strengths. the 1st 5 chapters disguise simple hypergeometric sequence and integrals, while the subsequent 5 are dedicated to purposes in a number of components 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 September 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 normal 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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