Table of Contents
International Journal of Combinatorics
Volume 2014 (2014), Article ID 712321, 14 pages
http://dx.doi.org/10.1155/2014/712321
Research Article

Decomposition Formulas for Triple -Hypergeometric Functions

Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, Sweden

Received 11 November 2013; Accepted 31 December 2013; Published 15 May 2014

Academic Editor: R. Yuster

Copyright © 2014 Thomas Ernst. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. A. Hasanov, H. M. Srivastava, and M. Turaev, “Decomposition formulas for some triple hypergeometric functions,” Journal of Mathematical Analysis and Applications, vol. 324, no. 2, pp. 955–969, 2006. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. M. G. Bin-Saad, “Symbolic operational images and decomposition formulas for hypergeometric functions,” Journal of Mathematical Analysis and Applications, vol. 376, no. 2, pp. 451–468, 2011. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  3. T. Ernst, A Comprehensive Treatment of q-Calculus, Birkhäuser, 2012.
  4. G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge University Press, Cambridge, UK, 1990.
  5. J. L. Burchnall and T. W. Chaundy, “Expansions of appell's double hypergeometric functions,” Quarterly Journal of Mathematics, vol. 11, no. 1, pp. 249–270, 1940. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  6. F. H. Jackson, “On basic double hypergeometric functions,” Quarterly Journal of Mathematics, vol. 13, no. 1, pp. 69–82, 1942. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. T. Ernst, “Convergence aspects for q-Appell functions I,” The Journal of the Indian Mathematical Society, vol. 81, no. 1-2, pp. 67–77, 2014. View at Google Scholar