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math.CA2017★ 1 cited
Redheffer type bounds for Bessel and modified Bessel functions of the first kind
Árpád Baricz, Khaled Mehrez
In this paper our aim is to show some new inequalities of Redheffer type for Bessel and modified Bessel functions of the first kind. The key tools in our proofs are some classical…
math.CA2016
On Kapteyn-Kummer Series' Integral Form
Tibor K. Pogány, Árpád Baricz, Anikó Szakál
In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer's (or confluent hypergeometric ) functions. Thes…
math.CA2010★ 84 cited
The generalized Marcum function: an orthogonal polynomial approach
Szilárd András, Árpád Baricz, Yin Sun
A novel power series representation of the generalized Marcum function of positive order involving generalized Laguerre polynomials is presented. The absolute convergence of th…