Results 21 to 30 of about 73 (71)

Some special functions and cylindrical diffusion equation on α-time scale

Demonstratio Mathematica
This article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu, Tuncer Zehra, Gergün Seçil, Yantir Ahmet   +3 more
doaj   +1 more source

Generalization of the Modified Bessel Function and Its Generating Function [PDF]

, 2005
2000 Mathematics Subject Classification: 33C10, 33-02, 60K25This paper presents new generalizations of the modified Bessel function and its generating function.
Williams, J., Leonenko, G., Griffiths, J.   +2 more
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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 ...
Zivorad Tomovski, 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

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
doaj   +1 more source

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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Fractional Integration of the Product of Bessel Functions of the First Kind [PDF]

, 2010
Dedicated to 75th birthday of Prof. A.M. Mathai, Mathematical Subject Classification 2010:26A33, 33C10, 33C20, 33C50, 33C60, 26A09Two integral transforms involving the Gauss-hypergeometric function in the kernels are considered.
Sebastian, Nicy, Kilbas, Anatoly
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Theorems on the Convergence of Series in Generalized Lommel-Wright Functions [PDF]

, 2007
Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series
Paneva-Konovska, Jordanka
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Soluciones explícitas de ecuaciones diferenciales matriciales con coeficientes variables

, 2009
La resolución de sistemas de ecuaciones diferenciales de orden superior suele apoyarse en la consideración de un sistema ampliado de primer orden. Este enfoque clásico presenta dos inconvenientes.
Company Rossi, Rafael
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A Matching technique and structure theorems for sturm-liouville boundary value problems with interior singularities

, 2004
Asymptotic solutions for the interior double pole Sturm-Liouville boundary value problem are obtained using a method of matched asymptotic approximations.
Acho, Thomas M.
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