Results 31 to 40 of about 80,976 (233)

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
core   +2 more sources

Products of Bessel and modified Bessel functions

, 2016
37 pages, 1 ...
Baricz, Árpád, Szász, Róbert, Yağmur, Nihat   +2 more
openaire   +2 more sources

Inequalities involving Bessel and modified Bessel functions

Journal of Mathematical Analysis and Applications, 1990
The authors define a self-adjoint and compact operator whose eigenvalues are given by \(\pm 2/j_{\nu k}\), where \(j_{\nu k}\) is the kth positive zero of the Bessel function \(J_{\nu}(x)\) of the first kind. Using operator techniques the authors derive some lower and upper bounds for \(J_{\nu +1}(x)/J_{\nu}(x)\) and \(I_{\nu +1}(x)/I_{\nu}(x)\), where
Ifantis, E.K., Siafarikas, P.D.
openaire   +1 more source

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, Bleistein, Borwein, Chester, de Bruijn, Debye, Deift, Erdélyi, Erdélyi, Lekner, López, López, López, Mahler, Nico M. Temme, Oberhettinger, Olde Daalhuis, Olde Daalhuis, Olver, Olver, Olver, Olver, Olver, Ott, Paris, Perron, Szegő, Temme, Temme, Temme, Temme, Temme, Temme, Temme, Temme, Ursell, Ursell, Van der Corput, Van der Waerden, Wang, Wang, Watson, Wong, Wong, Zil’bergleĭt   +44 more
core   +3 more sources

Cumulant-Based Goodness-of-Fit Tests for the Tweedie, Bar-Lev and Enis Class of Distributions

Mathematics, 2023
The class of natural exponential families (NEFs) of distributions having power variance functions (NEF-PVFs) is huge (uncountable), with enormous applications in various fields.
Shaul K. Bar-Lev, Apostolos Batsidis, Jochen Einbeck, Xu Liu, Panpan Ren   +4 more
doaj   +1 more source

Charged analogue of Finch-Skea stars [PDF]

, 2006
We present solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes with a specified form of the electric field intensity.
Ivanov B. V., Mukherjee B., Patel L. K., S. D. MAHARAJ, S. HANSRAJ   +4 more
core   +2 more sources

Some integral properties in the theory of generalized $k-$Bessel matrix functions

Journal of Innovative Applied Mathematics and Computational Sciences
The main purpose of this article is to define some original properties in the theory of the generalized modified $k-$Bessel matrix functions. These special functions, defined in terms of Wright matrix functions, are generalized and their properties ...
Carlo Cattani, Ghazi S. Khammash, Ayman Shehata   +2 more
doaj   +1 more source

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, Boriboon Novaprateep, Narongpol Wichailukkana   +2 more
doaj   +1 more source

Integral representations for products of two parabolic cylinder functions with different arguments and orders

, 2015
This paper derives new integral representations for products of two parabolic cylinder functions. In particular, expressions are obtained for D_{nu}(x)D_{mu}(y), with x>0 and y>0, that allow for different orders and arguments in the two parabolic ...
Veestraeten, Dirk
core   +1 more source

Absorption Cross Section of Scalar Field in Supergravity Background [PDF]

, 2000
It has recently been shown that the equation of motion of a massless scalar field in the background of some specific p branes can be reduced to a modified Mathieu equation.
Aharony, Aly, Aly, Arscott, Callan, Challifour, Costa, Cvetic, Dombey, Dougall, Gubser, Gubser, H.J.W. Müller-Kirsten, Hansen, Hashimoto, Horowitz, J.-Q. Liang, Klebanov, Klebanov, Langer, Lee, Maldacena, Meixner, Polchinski, R. Manvelyan, Savvidy, Savvidy, Schwabl, Spector, Yunbo Zhang   +29 more
core   +3 more sources