Results 11 to 20 of about 549 (69)
The Hermite polynomials and the Bessel functions from a general point of view
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3633-3642, 2003., 2003 We introduce new families of Hermite polynomials and of Bessel functions from a point of view involving the use of nonexponential generating functions. We study their relevant recurrence relations and show that they satisfy differential‐difference equations which are isospectral to those of the ordinary case.
G. Dattoli +2 more
wiley +1 more source
Pochhammer symbol with negative indices. A new rule for the method of brackets
Open Mathematics, 2016 The method of brackets is a method of integration based upon a small number of heuristic rules. Some of these have been made rigorous. An example of an integral involving the Bessel function is used to motivate a new evaluation rule.
Gonzalez Ivan, Jiu Lin, Moll Victor H
doaj +1 more source
Contact problem for bonded nonhomogeneous materials under shear loading
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 29, Page 1821-1832, 2003., 2003 The present paper examines the contact problem related to shear punch through a rigid strip bonded to a nonhomogeneous medium. The nonhomogeneous medium is bonded to another nonhomogeneous medium. The strip is perpendicular to the y‐axis and parallel to the x‐axis.
B. M. Singh +3 more
wiley +1 more source
Functional inequalities involving modified Struve functions [PDF]
, 2013 In this paper our aim is to prove some monotonicity and convexity results for the modified Struve function of the second kind by using its integral representation.
Baricz, Árpád, Pogány, Tibor K.
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A note on monotonicity property of Bessel functions
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 3, Page 561-566, 1997., 1997 A theorem of Lorch, Muldoon and Szegö states that the sequence is decreasing for α > −1/2, where Jα(t) the Bessel function of the first kind order α and jα,k its kth positive root. This monotonicity property implies Szegö′s inequality , when α ≥ α′ and α′ is the unique solution of .
Stamatis Koumandos
wiley +1 more source
Precise analytic approximations for the Bessel function J1(x)
Results in Physics, 2018 Precise and straightforward analytic approximations for the Bessel function J1(x) have been found. Power series and asymptotic expansions have been used to determine the parameters of the approximation, which is as a bridge between both expansions, and ...
Fernando Maass, Pablo Martin
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Generalized Neumann and Kapteyn expansions
International Journal of Stochastic Analysis, Volume 8, Issue 4, Page 415-421, 1995., 1995 Certain formal series of a most general nature are specialized so as to deduce expansions in terms of a class of generalized hypergeometric functions. These series generalize the Neumann and Kapteyn series in the theory of Bessel functions, and their convergence is investigated. An example of a succinct expansion is also given.
Harold Exton
wiley +1 more source
Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation [PDF]
, 2012 MSC 2010: 35J05, 33C10 ...
Alexandrovich, I. +2 more
core
, 2009 This paper continues investigations on the integral transforms of the Minkowski question mark function. In this work we finally establish the long-sought formula for the moments, which does not explicitly involve regular continued fractions, though it ...
F. Ryde +11 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri +2 more
wiley +1 more source