Results 11 to 20 of about 185,152,226 (151)
Monotonicity and convexity of the ratios of the first kind modified Bessel functions and applications [PDF]
Mathematical Inequalities & Applications, 2018 Let $I_{v}\left( x\right) $ be modified Bessel functions of the first kind. We prove the monotonicity property of the function $x\mapsto I_{u}\left( x\right) I_{v}\left( x\right) /I_{\left( u+v\right) /2}\left( x\right) ^{2}$ on $\left( 0,\infty \right) $.
Yang, Zhen-Hang, Zheng, Shen-Zhou
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An integral containing a Bessel Function and a Modified Bessel Function of the First Kind [PDF]
, 2017 Here we discuss the calculation of an integral containing the Bessel function J0(r) and the modified Bessel function of the first kind I1(r). The calculus is based on a function of J0(r), I1(r) and of their derivatives, having a Wronskian form. The method here described could be useful for training the students in the manipulation of such integrals.
Sparavigna, Amelia Carolina +1 more
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On a Neumann-type series for modified Bessel functions of the first kind
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
Deleaval, Luc, Demni, Nizar
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Oil & Gas Science and Technology, 2006 Une méthode de calcul des fonctions In et Kn (fonctions de Bessel modifiées de première et deuxième espèce) à arguments complexes est présentée. Cette méthode conçue pour des ordinateurs vectoriels permet un gain notable de temps de calcul par rapport ...
Quiblier J.
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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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Fractional-Modified Bessel Function of the First Kind of Integer Order
Mathematics, 2023 The modified Bessel function (MBF) of the first kind is a fundamental special function in mathematics with applications in a large number of areas. When the order of this function is integer, it has an integral representation which includes the exponential of the cosine function. Here, we generalize this MBF to include a fractional parameter, such that
Andrés Martín, Ernesto Estrada
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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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Convexity of ratios of the modified Bessel functions of the first kind with applications
Revista Matemática Complutense, 2022 Let I ν x be the modified Bessel function of the first kind of order ν . Motivated by a conjecture on the convexity of the ratio W ν x = x I ν x / I ν + 1 x for ν > - 2 , using the monotonicity rules for a ratio of two power series and an elementary technique, we present fully the convexity of the functions W ν x , W ν x - x 2 / 2 ν + 4 ...
Zhen-Hang Yang, Jing-Feng Tian
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Relation of Some Known Functions in terms of Generalized Meijer G-Functions
Journal of Mathematics, 2021 The aim of this paper is to prove some identities in the form of generalized Meijer G-function. We prove the relation of some known functions such as exponential functions, sine and cosine functions, product of exponential and trigonometric functions ...
Syed Ali Haider Shah +3 more
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High accuracy trigonometric approximations of the real Bessel functions of the first kind [PDF]
, 2020 We construct high accuracy trigonometric interpolants from equidistant evaluations of the Bessel functions $J_n(x)$ of the first kind and integer order. The trigonometric models are cosine or sine based depending on whether the Bessel function is even or
Wu, Min +3 more
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