Generating functions for a class of q-polynomials

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dc.contributor.author Srivastava, H.M.
dc.contributor.author Agarwal, A. K.
dc.date.accessioned 2009-09-04T18:33:38Z
dc.date.available 2009-09-04T18:33:38Z
dc.date.copyright 1986 en
dc.date.issued 2009-09-04T18:33:38Z
dc.identifier.uri http://hdl.handle.net/1828/1738
dc.description.abstract Some simple ideas are used here to prove a theorem on generating functions for a certain class of q-polynomials. This general theorem is then applied to derive a fairly large number of known as well as new generating functions for the familiar q-analogues of various polynomial systems including, for example, the classical orthogonal polynomials of Hermite, Jacobi, and Laguerre. A number of other interesting consequences of the theorem are also discussed. en
dc.description.sponsorship Government of India, Ministry of Education & Culture National Scholarship for Higher Study Abroad and NSERC Grant A7353 en
dc.language.iso en en
dc.relation.ispartofseries DM-426-IR en
dc.subject generating functions en
dc.subject q-polynomials en
dc.subject classical orthogonal polynomials en
dc.subject q-series en
dc.subject hypergeometric identities en
dc.subject quadratic transformations en
dc.subject special functions en
dc.subject q-Pfaff transformation en
dc.subject Kummer's summation theorem en
dc.subject Gauss's second theorem en
dc.subject Pfaff-Saalschutz theorem en
dc.subject basic (or q-) hypergeometric function en
dc.subject Gaussian polynomial (or q-binomial coefficient) en
dc.subject q-binomial theorem en
dc.subject q-Laguerre polynomials en
dc.subject little q-Jacobi polynomials en
dc.subject q-Hahn polynomials en
dc.subject q-Meixner polynomials en
dc.subject q-Charlier polynomials en
dc.subject Heine's transformation en
dc.subject confluent hypergeometric function en
dc.subject q-Hermite polynomials en
dc.subject q-summation formula en
dc.subject q-hypergeometric polynomials en
dc.title Generating functions for a class of q-polynomials en
dc.type Technical Report en

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