Results 31 to 40 of about 92,555 (240)

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
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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

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
openaire   +1 more source

Scale Space Smoothing, Image Feature Extraction and Bessel Filters

, 2011
The Green function of Mumford-Shah functional in the absence of discontinuities is known to be a modified Bessel function of the second kind and zero degree. Such a Bessel function is regularized here and used as a filter for feature extraction.
Gunn, Steve, Mahmoodi, Sasan
core   +1 more source

Functional inequalities for modified Bessel functions

Expositiones Mathematicae, 2011
14 ...
Baricz, Árpád, Ponnusamy, Saminathan, Vuorinen, Matti   +2 more
openaire   +3 more sources

Flow of a second grade fluid with fractional derivatives due to a quadratic time dependent shear stress

Alexandria Engineering Journal, 2018
The velocity field and shear stress for unsteady flow of a second grade fluid with fractional derivatives through an infinite long circular cylinder are evaluated.
Nauman Raza, M. Abdullah, Asma Rashid Butt, Aziz Ullah Awan, Ehsan Ul Haque   +4 more
doaj   +1 more source

Non-homogeneous impulsive time fractional heat conduction equation

Journal of Numerical Analysis and Approximation Theory, 2023
This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
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

Integral Representations for Products of Two Bessel or Modified Bessel Functions [PDF]

Mathematics, 2019
The first part of the article contains integral expressions for products of two Bessel functions of the first kind having either different integer orders or different arguments. A similar question for a product of modified Bessel functions of the first kind is solved next, when the input functions are of different integer orders and have different ...
Dragana Jankov Maširević, Tibor K. Pogány   +1 more
openaire   +4 more sources

Note on modified generalized Bessel function

Proyecciones (Antofagasta), 2023
An attempt is made to define Modified Generalized Bessel Function, and Modified Generalized Bessel Matrix Function. Some properties have also been discussed.
Patel, Farhatbanu H., Jana, R. K., Shukla, A. K.   +2 more
openaire   +1 more source