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math.CA2024
A Ramanujan's hypergeometric transformation formula, its validity range and implications
M. A. Shpot
We extend the validity range of a Ramanujan's hypergeometric transformation formula proved by Berndt, Bhargava and Garvan, Trans. Amer. Math. Soc. 347, 4163 (1995) and study its im…
math.CA2024
Two closed-form evaluations for the generalized hypergeometric function
Arjun K. Rathie, Mykola A. Shpot
The objective of this short note is to provide two closed-form evaluations for the generalized hypergeometric function of the argument . This is achieved by mea…