Refinements, generalizations, and applications of Jordan's inequality and related problems.
A refinement of van der Corput's inequality.
An extension and a refinement of van der Corput's inequality.
Convexities of some functions involving the polygamma functions.
A class of logarithmically completely monotonic functions related to and an application.
A note on -partial difference equations and some applications to generating functions and -integrals
We study the condition on expanding an analytic several variables function in terms of products of the homogeneous generalized Al-Salam-Carlitz polynomials. As applications, we deduce bilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. We also gain multilinear generating functions for the homogeneous generalized Al-Salam-Carlitz polynomials. Moreover, we obtain generalizations of Andrews-Askey integrals and Ramanujan -beta integrals. At last, we derive ...
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