5 papers
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…
On certain new means generated by generalized trigonometric functions
József Sándor, Barkat Ali Bhayo
In this paper, authors generalize logarithmic mean , Neuman-Sándor , two Seiffert means and as an application of generalized trigonometric and hyperbolic functions. M…
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…
On some inequalities for the identric, logarithmic and related means
József Sándor, Barkat Ali Bhayo
We offer new proofs, refinements as well as new results related to classical means of two variables, including the identric and logarithmic means.