Results 21 to 30 of about 528 (51)

Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions [PDF]

, 2007
Mathematics Subject Classification: 33C05, 33C10, 33C20, 33C60, 33E12, 33E20, 40A30The main purpose of this paper is to present a number of potentially useful integral representations for the generalized Mathieu series as well as for its alternating ...
Tomovski, Živorad
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The radius of convexity of normalized Bessel functions

, 2015
The radius of convexity of two normalized Bessel functions of the first kind are determined in the case when the order is between $-2$ and $-1.$ Our methods include the minimum principle for harmonic functions, the Hadamard factorization of some Dini ...
Baricz, Árpád, Szász, Róbert
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On Hankel Transform of Generalized Mathieu Series [PDF]

, 2009
Mathematics Subject Classification: Primary 33E20, 44A10; Secondary 33C10, 33C20, 44A20By using integral representations for several Mathieu type series, a number of integral transforms of Hankel type are derived here for general families of Mathieu ...
Tomovski, Živorad
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Asymptotic expansions relating to the distribution of the length of longest increasing subsequences

Forum of Mathematics, Sigma
We study the distribution of the length of longest increasing subsequences in random permutations of n integers as n grows large and establish an asymptotic expansion in powers of $n^{-1/3}$ .
Folkmar Bornemann
doaj   +1 more source

A note on the asymptotics of the modified Bessel functions on the Stokes lines [PDF]

, 2017
We employ the exponentially improved asymptotic expansions of the confluent hypergeometric functions on the Stokes lines discussed by the author [Appl. Math. Sci. 7 (2013) 6601–6609] to give the analogous expansions of the modified Bessel functions Iν(z)
Paris, R. B.
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The Hurwitz-type theorem for the regular Coulomb wave function via Hankel determinants

, 2018
We derive a closed formula for the determinant of the Hankel matrix whose entries are given by sums of negative powers of the zeros of the regular Coulomb wave function.
Baricz, Árpád, Štampach, František
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The evaluation of a definite integral by the method of brackets illustrating its flexibility

Open Mathematics
The method of brackets is a procedure to evaluate definite integrals over a half-line. It consists of a small number of rules. This article illustrates the method by evaluating an integral by several variations of the method. The integrand is the product
Gonzalez Ivan, Santander John Lopez, Moll Victor H.   +2 more
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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
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The evaluation of single Bessel function sums [PDF]

, 2018
We examine convergent representations for the sums of Bessel functions X∞ n=1 Jν(nx) nα (x > 0) and X∞ n=1 Kν(nz) nα (<(z) > 0), together with their alternating versions, by a Mellin transform approach.
Paris, R. B.
core  

On increasing stability in the two dimensional inverse source scattering problem with many frequencies

, 2017
In this paper, we will study increasing stability in the inverse source problem for the Helmholtz equation in the plane when the source term is assumed to be compactly supported in a bounded domain $\Omega$ with sufficiently smooth boundary.
Entekhabi, Mozhgan Nora, Isakov, Victor
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