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ON EULERIAN q-INTEGRALS FOR SINGLE AND MULTIPLE q-HYPERGEOMETRIC SERIES
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2018 (English)In: COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, ISSN 1225-1763, Vol. 33, no 1, p. 179-196Article in journal (Refereed) Published
Abstract [en]

In this paper we extend the two q-additions with powers in the umbrae, define a q-multinomial-coefficient, which implies a vector version of the q-binomial theorem, and an arbitrary complex power of a JHC power series is shown to be equivalent to a special case of the first q-Lauricella function. We then present several q-analogues of hypergeo-metric integral formulas from the two books by Exton and the paper by Choi and Rathie. We also find multiple q-analogues of hypergeometric integral formulas from the recent paper by Kim. Finally, we prove several multiple q-hypergeometric integral formulas emanating from a paper by Koschmieder, which are special cases of more general formulas by Exton.

Place, publisher, year, edition, pages
KOREAN MATHEMATICAL SOC , 2018. Vol. 33, no 1, p. 179-196
Keywords [en]
Eulerian q-integral, q-multinomial-coefficient, Srivastava Delta notation, multiple q-beta function
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-352998DOI: 10.4134/CKMS.c170112ISI: 000429657200014OAI: oai:DiVA.org:uu-352998DiVA, id: diva2:1233017
Available from: 2018-07-13 Created: 2018-07-13 Last updated: 2018-07-13Bibliographically approved

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