$q$-Generating functions for one and two variables

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چکیده

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q-GENERATING FUNCTIONS FOR ONE AND TWO VARIABLES

Abstract. We use a multidimensional extension of Bailey’s transform to derive two very general q-generating functions, which are q-analogues of a paper by Exton [7]. These expressions are then specialised to give more practical formulae, which are q-analogues of generating relations for Karlssons generalised Kampe de Fériet function. A number of examples are given including q-Laguerre polynomia...

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ژورنال

عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin

سال: 2005

ISSN: 1370-1444

DOI: 10.36045/bbms/1133793346