Results 41 to 50 of about 2,550 (129)

Inequalities involving modified Bessel functions of the first kind

Journal of Mathematical Analysis and Applications, 1992
The author proves some inequalities for modified Bessel functions of the first kind which are related to a log-convexity property of the hypergeometric function \(F_{0,1}(1+\mu;x^ 2/4)\) (\(\mu>-1/2\)).
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An integral containing a Bessel Function and a Modified Bessel Function of the First Kind

, 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.
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Analysis of ( P , m ) $(P,\mathrm{m})$ -superquadratic function and related fractional integral inequalities with applications

Journal of Inequalities and Applications
In the present work we establish for the first time a class of ( P , m ) $(P,\mathrm{m})$ -superquadratic functions and look into its features. Using them, we come up with the Jensen and Hermite–Hadamard inequalities, as well as the fractional versions ...
Dawood Khan, Saad Ihsan Butt, Youngsoo Seol   +2 more
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Tricomi Problem for a Mixed-Type Equation of the Second Kind in a Domain the Elliptic Part of Which is the First Quadrant of the Plane

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
In the theory of mixed-type equations, most studies have been carried out for bounded domains with smooth boundaries and for equations of the first kind.
Zunnunov, R.T., Bektosheva, Sh.A., Parovik, R.I.   +2 more
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On Parameter Differentiation for Integral Representations of Associated Legendre Functions

Symmetry, Integrability and Geometry: Methods and Applications, 2011
For integral representations of associated Legendre functions in terms of modified Bessel functions, we establish justification for differentiation under the integral sign with respect to parameters.
Howard S. Cohl
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The Generalized Incomplete Gamma Function as sum over Modified Bessel Functions of the First Kind

Journal of Computational and Applied Mathematics, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Properties and integral inequalities of P-superquadratic functions via multiplicative calculus with applications

Boundary Value Problems
This manuscript explores the idea of a multiplicatively P-superquadratic function and its properties. Utilizing these properties, we derive the inequalities of Hermite–Hadamard type for such functions in the framework of multiplicative calculus.
Dawood Khan, Saad Ihsan Butt, Youngsoo Seol   +2 more
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Efficient Numerical Quadrature for Highly Oscillatory Integrals with Bessel Function Kernels

Mathematics
In this paper, we investigate efficient numerical methods for highly oscillatory integrals with Bessel function kernels over finite and infinite domains. Initially, we decompose the two types of integrals into the sum of two integrals.
Guo He, Yuying Liu
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Summed Series Involving ₁F₂ Hypergeometric Functions

Mathematics
Summation of infinite series has played a significant role in a broad range of problems in the physical sciences and is of interest in a purely mathematical context.
Jack C. Straton
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Exact BPS black hole microstate counting from holographic conformal quantum mechanics

Journal of High Energy Physics
In this note, we develop a prescription for describing BPS black hole microstates in terms of a holographic conformal quantum mechanics (CQM) model dual to the near-horizon AdS 2 geometry of the black hole.
Gabriel Lopes Cardoso, Suresh Nampuri
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