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math.NT2018
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…
math.NT2018★ 1 cited
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…
math.NT2018
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…