4 citations · 9 across the 18 of their papers we have counts for
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Some new sums of -trigonometric and related functions through a theta product of Jacobi
Mohamed El Bachraoui, József Sándor
We evaluate some finite and infinite sums involving -trigonometric and -digamma functions. Upon letting approach , one obtains corresponding sums for the classical tri…
Some new inequalities for the -gamma and related functions
Mohamed El Bachraoui, József Sándor
We consider convexity and monotonicity properties for some functions related to the -gamma function. As applications, we give a variety of inequalities for the -gamma functio…
On a theta product of Jacobi and its applications to -gamma products
Mohamed El Bachraoui, József Sándor
We give a new proof for a product formula of Jacobi which turns out to be equivalent to a -trigonometric product which was stated without proof by Gosper. We apply this formula…
Proving some identities of Gosper on -trigonometric functions
Mohamed El Bachraoui
Gosper introduced the functions and as -analogues for the trigonometric functions and respectively. He stated but did not prove a variety…