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Integral Representations for Products of Two Bessel or Modified Bessel Functions [PDF]
Mathematics, 2019 The first part of the article contains integral expressions for products of two Bessel functions of the first kind having either different integer orders or different arguments.
Dragana Jankov Maširević +1 more
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Some Inequalities for Modified Bessel Functions [PDF]
Journal of Inequalities and Applications, 2010 We denote by and the Bessel functions of the first and third kinds, respectively. Motivated by the relevance of the function , , in many contexts of applied mathematics and, in particular, in some elasticity problems Simpson and Spector (1984), we
Laforgia Andrea, Natalini Pierpaolo
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On a Sum of Modified Bessel Functions [PDF]
Mediterranean Journal of Mathematics, 2013 8 ...
Tibor K Pogány, Arpad Baricz
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Bounds for modified Bessel functions
Journal of Computational and Applied Mathematics, 1991 Aus Monotonieeigenschaften von \(I_{v+1}/I_ v\) und \(K_{v+1}/K_ v\) werden Schranken für \(I_ v\) und \(K_ v\) gewonnen und diskutiert.
Andrea Laforgia
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Redheffer type inequalities for modified Bessel functions
Arab Journal of Mathematical Sciences, 2016 In this short note, we give new proofs of Redheffer’s inequality for modified Bessel functions of first kind published by Ling Zhu (2011). In addition, using the Grosswald formula we prove new Redheffer type inequality for the modified Bessel functions ...
Khaled Mehrez
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Jordan type inequalities involving the Bessel and modified Bessel functions
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu
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Discrete index transforms with Bessel and modified Bessel functions
Analysis (Germany), 2022 Abstract Discrete analogues of the index transforms, involving Bessel and the modified Bessel functions, are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.
Semyon Yakubovich
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Sharp Bounds for the Ratio of Modified Bessel Functions [PDF]
Mediterranean Journal of Mathematics, 2017 NSFC grant 11371050 and NSFC-ERC grant 11611530539.
Zhen-Hang Yang, Shenzhou Zheng
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On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions
Mathematics, 2022 In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The
Mohsan Raza +4 more
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The Spherical Harmonic Family of Beampatterns
Acoustics, 2022 The free space solution to the wave equation in spherical coordinates is well known as a separable product of functions. Re-examination of these functions, particularly the sums of spherical Bessel and harmonic functions, reveals behaviors which can ...
Kevin J. Parker, Miguel A. Alonso
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