Results 11 to 20 of about 92,555 (240)
Inequalities for the Modified k-Bessel Function
International Journal of Analysis and Applications, 2017 The article considers the generalized k-Bessel functions and represents it as Wright functions. Then we study the monotonicity properties of the ratio of two different orders k- Bessel functions, and the ratio of the k-Bessel and the k-Bessel functions ...
Saiful Rahman Mondal +1 more
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Amos-type bounds for modified Bessel function ratios.
J Math Anal Appl, 2013 We systematically investigate lower and upper bounds for the modified Bessel function ratio [Formula: see text] by functions of the form [Formula: see text] in case [Formula: see text] is positive for all [Formula: see text], or equivalently, where [Formula: see text] or [Formula: see text] is a negative integer.
Hornik K, Grün B.
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Some Inequalities for Modified Bessel Functions [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
LAFORGIA, Andrea Ivo Antonio +1 more
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On Some Operators Involving Hadamard Derivatives [PDF]
, 2013 In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
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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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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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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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Second Quantization and the Spectral Action [PDF]
, 2020 We consider both the bosonic and fermionic second quantization of spectral triples in the presence of a chemical potential. We show that the von Neumann entropy and the average energy of the Gibbs state defined by the bosonic and fermionic grand ...
Dong, Rui +2 more
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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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