Results 21 to 30 of about 92,603 (214)
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 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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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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Certain inequalities for the modified Bessel-type function
Journal of Inequalities and Applications, 2019 We establish some new inequalities for the modified Bessel-type function λν,σ(β)(x) $\lambda _{\nu ,\sigma }^{(\beta )} (x )$ studied by Glaeske et al. [in J. Comput. Appl. Math.
Min-Jie Luo, Ravinder Krishna Raina
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On generalized Bessel–Maitland function
Advances in Difference Equations, 2021 An approach to the generalized Bessel–Maitland function is proposed in the present paper. It is denoted by J ν , λ μ $\mathcal{J}_{\nu , \lambda }^{\mu }$ , where μ > 0 $\mu >0$ and λ , ν ∈ C $\lambda ,\nu \in \mathbb{C\ }$ get increasing interest from ...
Hanaa M. Zayed
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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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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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Journal of Telecommunications and Information Technology, 2020 The paper presents a new hybrid method relied upon to solve integral equations of the electric field in time domain and to model linear antennas with pulse excitation.
Anna Witenberg
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Infinite divisibility of solutions to some self-similar integro-differential equations and exponential functionals of L\'evy processes [PDF]
, 2009 We provide the increasing eigenfunctions associated to spectrally negative self-similar Feller semigroups, which have been introduced by Lamperti. These eigenfunctions are expressed in terms of a new family of power series which includes, for instance ...
Patie, Pierre
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