Abstract
In this paper, we define a new extension of Srivastava's triple hypergeometric functions by using a new extension of Pochhammer's symbol that was recently proposed by Srivastava, Rahman and Nisar [H. M. Srivastava, G. Rahman and K. S. Nisar, Some extensions of the Pochhammer symbol and the associated hypergeometric functions, Iran. J. Sci. Technol. Trans. A Sci. 43 2019, 5, 2601-2606]. We present their certain basic properties such as integral representations, derivative formulas, and recurrence relations. Also, certain new special cases have been identified and some known results are recovered from main results.
| Original language | English |
|---|---|
| Pages (from-to) | 13-24 |
| Number of pages | 12 |
| Journal | Analysis |
| Volume | 41 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Feb 2021 |
Keywords
- Appell functions
- Bessel and modified Bessel functions
- Gamma function
- Pochhammer's symbols
- Srivastava's triple hypergeometric functions
- Whittaker function
- hypergeometric functions
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