- Turkish Journal of Mathematics
- Vol: 42 Issue: 3
- On a new identity for the H-function with applications to the summation of hypergeometric series
On a new identity for the H-function with applications to the summation of hypergeometric series
Authors : Arjun Kumar Rathie, Luan Carlos De Sena Monteiro Ozelim, Pushpa Narayan Rathie
Pages : 924-935
View : 6 | Download : 4
Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords : H-function, hypergeometric sum, identity