Results 11 to 20 of about 8,419 (218)
Some inequalities of Bessel and modified Bessel functions [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1991 AbstractTwo-sided inequalties for the ratio of modified Bessel functions of first kind are given, which provide sharper upper and lower bounds than had been known earlier. Wronskian type inequalities for Bessel functions are proved, and in the sequel alternative proofs of Turan-type inequalities for Bessel and modified Bessel functions are also ...
C. M. Joshi, S. K. Bissu
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Bounds for modified bessel functions
Rendiconti del Circolo Matematico di Palermo, 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.
Ifantis, E. K., Siafarikas, P. D.
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TURÁN TYPE INEQUALITIES FOR MODIFIED BESSEL FUNCTIONS [PDF]
Bulletin of the Australian Mathematical Society, 2010 AbstractIn this paper our aim is to deduce some sharp Turán type inequalities for modified Bessel functions of the first and second kinds. Our proofs are based on explicit formulas for the Turánians of the modified Bessel functions of the first and second kinds and on a formula which is related to the infinite divisibility of the Studentt-distribution.
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Computation of Modified Bessel Functions and Their Ratios [PDF]
Mathematics of Computation, 1974 An efficient algorithm for calculating ratios r v ( x ) = I v + 1 ( x ) / I v
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Jordan type inequalities involving the Bessel and modified Bessel functions
Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ling Zhu
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Asymptotic expansions for the first hitting times of Bessel processes [PDF]
Opuscula Mathematica, 2021 We study a precise asymptotic behavior of the tail probability of the first hitting time of the Bessel process. We deduce the order of the third term and decide the explicit form of its coefficient.
Yuji Hamana +2 more
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Inequalities for Modified Bessel Functions [PDF]
Mathematics of Computation, 1974 A sequence of sharp versions of the inequality I v + 1 ( x ) > I v ( x ) , v > − 1 2
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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.
Andrés Martín, Ernesto Estrada
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On a Sum of Modified Bessel Functions [PDF]
Mediterranean Journal of Mathematics, 2013 In this paper we consider a sum of modified Bessel functions of the first kind of which particular case is used in the study of Kanter's sharp modified Bessel function bound for concentrations of some sums of independent symmetric random vectors. We present some monotonicity and convexity properties for that sum of modified Bessel functions of the ...
Baricz, Árpád, Pogány, Tibor K.
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On the characterization properties of certain hypergeometric functions in the open unit disk
Journal of Inequalities and Applications, 2022 Our purpose in the present investigation is to study certain geometric properties such as the close-to-convexity, convexity, and starlikeness of the hypergeometric function z 1 F 2 ( a ; b , c ; z ) $z{}_{1}F_{2}(a;b,c;z)$ in the open unit disk.
Deepak Bansal +3 more
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