Results 21 to 30 of about 542 (54)
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.
Griffiths, J. +2 more
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Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis 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 +3 more
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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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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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, 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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Accurate analytic approximations to eigenvalues anharmonic potentials x2+λx8
Results in Physics, 2020 Precise analytic approximations have been found for the eigenvalues of the ground state in the anharmonic potentials x2+λx8. Rational functions combined with fractional powers are used to determine the new approximations.
Pablo Martin +2 more
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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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The evaluation of a definite integral by the method of brackets illustrating its flexibility
Open MathematicsThe 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 +2 more
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Asymptotic expansions relating to the distribution of the length of longest increasing subsequences
Forum of Mathematics, SigmaWe 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
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On polynomials connected to powers of Bessel functions
, 2013 The series expansion of a power of the modified Bessel function of the first kind is studied. This expansion involves a family of polynomials introduced by C. Bender et al. New results on these polynomials established here include recurrences in terms of
Moll, Victor H., Vignat, C.
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