Title Some Generating Functions for q-Polynomials
Authors Cohl, Howard S. , COSTAS SANTOS, ROBERTO SANTIAGO, Wakhare, Tanay V.
External publication Si
Means Symmetry
Scope Article
Nature Científica
JCR Quartile 2
SJR Quartile 2
JCR Impact 2.14300
Web https://www.scopus.com/inward/record.uri?eid=2-s2.0-85059005656&doi=10.3390%2fsym10120758&partnerID=40&md5=7ebdd1ee7797a24d16ad9d4a931f5188
Publication date 01/12/2018
ISI 000454725100096
Scopus Id 2-s2.0-85059005656
DOI 10.3390/sym10120758
Abstract Demonstrating the striking symmetry between calculus and q-calculus, we obtain q-analogues of the Bateman, Pasternack, Sylvester, and Cesaro polynomials. Using these, we also obtain q-analogues for some of their generating functions. Our q-generating functions are given in terms of the basic hypergeometric series (4)phi(5), (5)phi(5), (4)phi(3), (3)phi(2), (2)phi(1) and q-Pochhammer symbols. Starting with our q-generating functions, we are also able to find some new classical generating functions for the Pasternack and Bateman polynomials.
Keywords basic hypergeometric functions; generating functions; q-polynomials
Universidad Loyola members

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