Abstract
Various extensions of the Euler's beta function have, recently, been presented and investigated. Here, choosing to use a fully extended beta function, we introduce an extended hypergeometric function, an extended con uent hypergeometric function, and an extension of the Appell function F 1 . We, also, use the fully extended beta function to introduce an extended Riemann-Liouville type integral operator and investigate its associated formulas and generating relations. The results presented here, being very general, can be specialized to yield some known and new results.
| Original language | English |
|---|---|
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | Nonlinear Functional Analysis and Applications |
| Volume | 24 |
| Issue number | 1 |
| State | Published - 2019 |
Keywords
- Appell function and extended Appell function
- Beta function
- Con uent hypergeometric function and extended con uent hypergeometric function
- Extended beta functions
- Extended Riemann-Liouville fractional integral and derivative operators
- Gamma function
- Generating relations
- Hypergeometric function and extended hypergeometric function
- Mellin transform
- Riemann-Liouville fractional integral and derivative operators