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- Babeș-Bolyai UniversityRO45 papers
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5 papers · 2 filters
Bounds for the product of modified Bessel functions
Árpád Baricz, Dragana Jankov Maširević, Saminathan Ponnusamy +1
In this note our aim is to present some monotonicity properties of the product of modified Bessel functions of first and second kind. Certain bounds for the product of modified Bes…
Feynman integral in and complex expansion of
Mykola A. Shpot, Tibor K. Pogány
Closed form expressions are proposed for the Feynman integral $$ I_{D, m}(p,q) = \int\frac{d^my}{(2π)^m}\int\frac{d^Dx}{(2π)^D} \frac1{(x-p/2)^2+(y-q/2)^4} \frac1{(x+p/2)^2+(y+q/2)…
Cross-product of Bessel functions: monotonicity patterns and functional inequalities
Árpád Baricz, Saminathan Ponnusamy, Sanjeev Singh
In this paper we study the Dini functions and the cross-product of Bessel functions. Moreover, we are interested on the monotonicity patterns for the cross-product of Bessel and mo…
Turán type inequalities for regular Coulomb wave functions
Árpád Baricz
Turán, Mitrinović-Adamović and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb w…
The radius of convexity of normalized Bessel functions
Árpád Baricz, Róbert Szász
The radius of convexity of two normalized Bessel functions of the first kind are determined in the case when the order is between and Our methods include the minimum pri…