Next Article in Journal
Divergence-Free Multiwavelets on the Half Plane
Next Article in Special Issue
On Solutions of Holonomic Divided-Difference Equations on Nonuniform Lattices
Previous Article in Journal
Mollification Based on Wavelets
Previous Article in Special Issue
Golden Ratio and a Ramanujan-Type Integral
Article Menu

Export Article

Open AccessArticle
Axioms 2013, 2(2), 85-99; doi:10.3390/axioms2020085

On the q-Analogues of Srivastava’s Triple Hypergeometric Functions

Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, Sweden
Received: 28 February 2013 / Revised: 22 March 2013 / Accepted: 3 April 2013 / Published: 11 April 2013
View Full-Text   |   Download PDF [207 KB, uploaded 11 April 2013]


We find Euler integral formulas, summation and reduction formulas for q-analogues of Srivastava’s three triple hypergeometric functions. The proofs use q-analogues of Picard’s integral formula for the first Appell function, a summation formula for the first Appell function based on the Bayley–Daum formula, and a general triple series reduction formula of Karlsson. Many of the formulas are purely formal, since it is difficult to find convergence regions for these functions of several complex variables. We use the Ward q-addition to describe the known convergence regions of q-Appell and q-Lauricella functions. View Full-Text
Keywords: Euler integral formula; summation and reduction formula; q-integral Euler integral formula; summation and reduction formula; q-integral
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Ernst, T. On the q-Analogues of Srivastava’s Triple Hypergeometric Functions. Axioms 2013, 2, 85-99.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top