M. Tripathi

most citedCertain product formulas and values of Gaussian hypergeometric series

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math.NT2020★ 8 cited

Certain product formulas and values of Gaussian hypergeometric series

Mohit Tripathi, Rupam Barman

In this article we find finite field analogues of certain product formulas satisfied by the classical hypergeometric series. We express product of two $_{2} F_{1}$ -Gaussian hypergeome…

math.NT2018

A finite field analogue of the Appell series $F_{4}$

Mohit Tripathi, Rupam Barman

We define a function $F_{4}^{*}$ as a finite field analogue of the classical Appell series $F_{4}$ using Gauss sums. We establish identities for $F_{4}^{*}$ analogous to those sati…

Certain product formulas and values of Gaussian hypergeometric series

A finite field analogue of the Appell series F4​

A finite field analogue of the Appell series $F_{4}$