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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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Inequalities for integrals of modified Bessel functions and expressions involving them [PDF]
Journal of Mathematical Analysis and Applications, 2018 Simple inequalities are established for some integrals involving the modified Bessel functions of the first and second kind. In most cases, we show that we obtain the best possible constant or that our bounds are tight in certain limits.
Gaunt, Robert E.
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Bounds for Tur\'anians of modified Bessel functions [PDF]
Expositiones Mathematicae, 2013 Motivated by some applications in applied mathematics, biology, chemistry, physics and engineering sciences, new tight Tur\'an type inequalities for modified Bessel functions of the first and second kind are deduced.
Alexandrov +58 more
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Monotonicity of the ratio of modified Bessel functions of the first kind with applications. [PDF]
J Inequal Appl, 2018 Let Wv(x)=xIv(x)/Iv+1(x)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
Yang ZH, Zheng SZ.
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Arithmetic Means for a Class of Functions and the Modified Bessel Functions of the First Kind
Mathematics, 2019 In the paper, by virtue of the residue theorem in the theory of complex functions, the authors establish several identities between arithmetic means for a class of functions and the modified Bessel functions of the first kind, present several identities ...
Feng Qi, Shao-Wen Yao, Bai-Ni Guo
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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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Comptes Rendus. Mathématique, 2023 In this paper, we introduce some monotonicity rules for the ratio of integrals. Furthermore, we demonstrate that the function $-T_{\nu ,\alpha ,\beta }(s)$ is completely monotonic in $s$ and absolutely monotonic in $\nu $ if and only if $\beta \ge 1 ...
Mao, Zhong-Xuan, Tian, Jing-Feng
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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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The logarithmic concavity of modified Bessel functions of the first kind and its related functions
Advances in Difference Equations, 2019 This research demonstrates the log-convexity and log-concavity of the modified Bessel function of the first kind and the related functions. The method of coefficient is used to verify such properties.
Thanit Nanthanasub +2 more
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Results in Physics, 2018 Simple analytic approximations valid for x⩾0 have been found for the modified Bessel functions I2(x) and I2/3(x), used amply in Electromagnetism and Mechanics applications.
Pablo Martin +3 more
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