1. A NOTE ON k-HYPERGEMETRIC DIFFERENTIAL EQUATIONS.
- Author
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MUBEEN, SHAHID, NAZ, MAMMONA, and RAHMAN, GAUHAR
- Subjects
- *
DIFFERENTIAL equations , *FUNCTIONAL differential equations , *HYPERGEOMETRIC functions , *HYPERGEOMETRIC distribution , *MATHEMATICAL physics - Abstract
Mubeen [5] has recently introduced the second order linear differential equations of k-hypergeometric and con uent k-hypergeometric functions. The main objective of this present paper is to develop these k-hypergeometric and con uent k-hypergeometric differential equations by adopting the same method, used by Rainville in [6]. Also, we find out the solutions of the form w =2 F1,k ((α, k); (β, k); (γ, k); z) and w =1 F1,k ((α, k); (β, k); z) of k- hypergeometric and con uent k-hypergeometric differential equations respectively, in the same way. [ABSTRACT FROM AUTHOR]
- Published
- 2013