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

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Publication Date : 0000-00-00

Article Type : Research Paper

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