Abstract
A remarkably large number of special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) have been investigated by many authors. Motivated the works of both works of both Burchnall and Chaundy and Chaundy and very recently, Brychkov and Saad gave interesting generalizations of Appell type functions. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present some new differential formulas for the generalized Appell's type functions Ki i = 1; 2; . . ., 18 by considering the product of two 4F3 functions.
| Original language | English |
|---|---|
| Pages (from-to) | 835-850 |
| Number of pages | 16 |
| Journal | Communications of the Korean Mathematical Society |
| Volume | 32 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2017 |
| Externally published | Yes |
Keywords
- Appell's type functions
- Fractional calculus
- Hypergeometric series
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