Results 11 to 20 of about 542 (54)
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
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Approximate closed-form formulas for the zeros of the Bessel Polynomials [PDF]
, 2011 We find approximate expressions x(k,n) and y(k,n) for the real and imaginary parts of the kth zero z_k=x_k+i y_k of the Bessel polynomial y_n(x). To obtain these closed-form formulas we use the fact that the points of well-defined curves in the complex ...
Calderon, Marisol L., Campos, Rafael G.
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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
Asymptotics of a ${}_3F_2$ polynomial associated with the Catalan-Larcombe-French sequence [PDF]
, 2006 The large $n$ behaviour of the hypergeometric polynomial $$\FFF{-n}{\sfrac12}{\sfrac12}{\sfrac12-n}{\sfrac12-n}{-1}$$ is considered by using integral representations of this polynomial.
Temme, Nico M.
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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
Zeros of a cross-product of the Coulomb wave and Tricomi hypergeometric functions [PDF]
, 2016 Motivated by a problem related to conditions for the existence of clines in genetics, in this note our aim is to show that the positive zeros of a cross-product of the regular Coulomb wave function and the Tricomi hypergeometric function are increasing ...
Baricz, Árpád
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Arab Journal of Mathematical Sciences, 2014 This paper is an attempt to stress the usefulness of the multi-variable special functions. In this paper, we derive certain generating relations involving 2-indices 5-variables 5-parameters Tricomi functions (2I5V5PTF) by using a Lie-algebraic method ...
Nader Ali Makboul Hassan
doaj +1 more source
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
Radii problems for normalized q−Bessel and Wright functions
Acta Universitatis Sapientiae: Mathematica, 2019 In this investigation, our main objective is to ascertain the radii of k-uniform convexity of order and the radii of strong starlikeness of the some normalized q-Bessel and Wright functions. In making this investigation we deal with the normalized Wright
Toklu Evrim +2 more
doaj +1 more source
Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation [PDF]
, 2012 MSC 2010: 35J05, 33C10 ...
Alexandrovich, I. +2 more
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