Turkish Journal of Mathematics
Abstract
Using generalized hypergeometric functions to perform symbolic manipulations of equations is of great importance to pure and applied scientists. There are in the literature a great number of identities for the Meijer-G function. On the other hand, when more complex expressions arise, that function is not capable of representing them. The H-function is an alternative to overcome this issue, as it is a generalization of the Meijer-G function. In the present paper, a new identity for the H-function is derived. In short, this result enables one to split a particular H-function into the sum of two other H-functions. The new relation in addition to an old result are applied to the summation of hypergeometric series. Finally, some relations between H-functions and elementary functions are built.
DOI
10.3906/mat-1705-48
Keywords
H-function, hypergeometric sum, identity
First Page
924
Last Page
935
Recommended Citation
RATHIE, A. K, OZELIM, L. C, & RATHIE, P. N (2018). On a new identity for the H-function with applications to the summation of hypergeometric series. Turkish Journal of Mathematics 42 (3): 924-935. https://doi.org/10.3906/mat-1705-48
