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arXiv · 1702.03985

On a new identity for the H-function with applications to the summation of hypergeometric series

Arjun K. Rathie·L. C. S. M. Ozelim·P. N. Rathie
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Abstract

Using generalized hypergeometric functions to perform symbolic manipulation 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, the latter 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

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Arjun K. Rathie, L. C. S. M. Ozelim, P. N. Rathie. 2017-02-07. On a new identity for the H-function with applications to the summation of hypergeometric series. https://arxiv.org/abs/1702.03985

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