Results 41 to 50 of about 496,864 (207)
Uniform Asymptotic Methods for Integrals [PDF]
, 2013 We give an overview of basic methods that can be used for obtaining asymptotic expansions of integrals: Watson's lemma, Laplace's method, the saddle point method, and the method of stationary phase.
Bleistein +44 more
core +3 more sources
IEEE Access, 2017 A statistical model is derived for the equivalent signal-to-noise ratio of the Source-to-Relay-to-Destination (S-R-D) link for Amplify-and-Forward (AF) relaying systems that are subject to block Rayleigh-fading.
M. Molu +4 more
semanticscholar +1 more source
Total positivity, Grassmannian and modified Bessel functions [PDF]
Functional Analysis and Geometry, 2017 A rectangular matrix is called totally positive, if all its minors are positive. A point of a real Grassmanian manifold $G_{l,m}$ of $l$-dimensional subspaces in $\mathbb R^m$ is called strictly totally positive, if one can normalize its Plucker ...
V. Buchstaber, A. Glutsyuk
semanticscholar +1 more source
On the zeros of the Macdonald functions [PDF]
Opuscula Mathematica, 2019 We are concerned with the zeros of the Macdonald functions or the modified Bessel functions of the second kind with real index. By using the explicit expressions for the algebraic equations satisfied by the zeros, we describe the behavior of the zeros ...
Yuji Hamana +2 more
doaj +1 more source
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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, 2018 Let Iv (x) be modified Bessel functions of the first kind. We prove the monotonicity property of the function x → Iu (x) Iv (x)/I(u+v)/2 (x) on (0,∞) .
Zhen-Hang Yang, Shenzhou Zheng
semanticscholar +1 more source
On a Neumann-type series for modified Bessel functions of the first kind [PDF]
, 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 ...
L. Deleaval, N. Demni
semanticscholar +1 more source
Complete Monotonicity of Modified Bessel Functions [PDF]
Proceedings of the American Mathematical Society, 1990 We prove that if ν > 1 / 2 \nu > 1/2 , then 2 ν − 1 Γ ( ν ) / [ x ν
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Redheffer type bounds for Bessel and modified Bessel functions of the first kind [PDF]
, 2017 In this paper our aim is to show some new inequalities of the Redheffer type for Bessel and modified Bessel functions of the first kind. The key tools in our proofs are some classical results on the monotonicity of quotients of differentiable functions ...
Á. Baricz, K. Mehrez
semanticscholar +1 more source
Functional inequalities for modified Bessel functions
Expositiones Mathematicae, 2011 14 ...
Baricz, Árpád +2 more
openaire +3 more sources