Bounds for modified Bessel functions of the first and second kinds [PDF]
Proceedings of the Edinburgh Mathematical Society, 2010 AbstractSome new inequalities for quotients of modified Bessel functions of the first and second kinds are deduced. Moreover, some developments on bounds for modified Bessel functions of the first and second kinds, higher-order monotonicity properties of these functions and applications to a special function that arises in finite elasticity, are ...
Árpád Baricz
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On a Neumann-type series for modified Bessel functions of the first kind [PDF]
Proceedings of the American Mathematical Society, 2017 In this paper, we are interested in a Neumann-type series for modified Bessel functions of the first kind which arises in the study of Dunkl operators associated with dihedral groups and as an instance of the Laguerre semigroup constructed by Ben Said-Kobayashi-Orsted. We first revisit the particular case corresponding to the group of square-preserving
Luc Deleaval, Nizar Demni
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Correction to: Geometric Properties of the Products of Modified Bessel Functions of the First Kind [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khaled Mehrez, Sourav Das, Anish Kumar
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New Sharp Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean [PDF]
Mathematics, 2020 Let I v x be he modified Bessel function of the first kind of order v. We prove the double inequality sinh t t cosh 1 / q q t < I 0 t < sinh t t cosh 1 / p p t holds for t > 0 if and only if p ≥ 2 / 3 and q ≤ ln 2 / ln π .
Zhen-Hang Yang +2 more
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Bounds for an integral of the modified Bessel function of the first kind\n and expressions involving it [PDF]
Journal of Mathematical Analysis and Applications, 2020 18 ...
Robert E. Gaunt
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On new sharp bounds for the Toader-Qi mean involved in the modified Bessel functions of the first kind [PDF]
Journal of Mathematical Inequalities, 2022 Summary: Let \(A(a,b)\), \(G(a,b)\), \(L(a,b)\) and \(TQ(a,b)\) be the arithmetic, geometric, logarithmic and Toader-Qi means of \(a, b > 0\) with \(a\neq b\), respectively. Let \(I_v(x)\) be the modified Bessel functions of thefirst kind of order \(v\). We prove the double inequality \[ \sqrt{\frac{\sinh t}{t} U_q(t)} < I_0(t) < \sqrt{\frac{\sinh t}{t}
Cen Li, Zhiming Liu, Shenzhou Zheng
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Exponential-type Inequalities Involving Ratios of the Modified Bessel Function of the First Kind and their Applications [PDF]
, 2013 The modified Bessel function of the first kind, $I_ (x)$, arises in numerous areas of study, such as physics, signal processing, probability, statistics, etc. As such, there has been much interest in recent years in deducing properties of functionals involving $I_ (x)$, in particular, of the ratio ${I_{ +1}(x)}/{I_ (x)}$, when $ ,x\geq 0$. In this
Prakash Balachandran +2 more
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SOME INEQUALITIES AND ABSOLUTE MONOTONICITY FOR MODIFIED BESSEL FUNCTIONS OF THE FIRST KIND
Communications of the Korean Mathematical Society, 2016 Abstract. By employing a refined version of the P´olya type integralinequality and other techniques, the authors establish some inequalitiesand absolute monotonicity for modified Bessel functions of the first kindwith nonnegative integer order. 1. Main resultsIt is well known that modified Bessel functions of the first kind I ±ν (z) aresolutions of the ...
Bai‐Ni Guo, Feng Qi
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On approximating the modified Bessel function of the first kind and Toader-Qi mean [PDF]
Journal of Inequalities and Applications, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhen-Hang Yang, Yu‐Ming Chu
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CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND [PDF]
Communications of the Korean Mathematical Society, 2017 Generalized integral formulas involving the generalized modified k-Bessel function $J_{k, }^{c, , }\left( z\right) $ of first kind are expressed in terms generalized $k-$Wright functions.
Saiful R. Mondal +1 more
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