Integral representations of generalized Lauricella hypergeometric functions.
Integral Representations of Generalized Mathieu Series Via Mittag-Leffler Type Functions
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 versions via Mittag-Leffler type functions.
Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for the time-space fractional diffusion equation expressed in terms of the Caputo time-fractional derivative and a generalized Riemann-Liouville space-fractional derivative.
Integrali di funzioni di Anger, Weber ed Airy-Hardy
Integrality of two variable Kostka functions.
Integralrelationen mit variablen Grenzen für spezielle Funktionen der mathematischen Physik.
Integrals and polygamma representations for binomial sums.
Integrals involving Gegenbauer and Hermite polynomials on the imaginary axis.
Integrals involving Hermite polynomials, generalized hypergeometric series and Fox's H-function, and Fourier-Hermite series for products of generalized hypergeometric functions
We evaluate an integral involving an Hermite polynomial, a generalized hypergeometric series and Fox's H-function, and employ it to evaluate a double integral involving Hermite polynomials, generalized hypergeometric series and the H-function. We further utilize the integral to establish a Fourier-Hermite expansion and a double Fourier-Hermite expansion for products of generalized hypergeometric functions.
Integrals involving product of Bessel functions and generalized hypergeometric functions.
Integrals involving products of -functions and Appell’s functions
Integrals of Frullani type and the method of brackets
The method of brackets is a collection of heuristic rules, some of which have being made rigorous, that provide a flexible, direct method for the evaluation of definite integrals. The present work uses this method to establish classical formulas due to Frullani which provide values of a specific family of integrals. Some generalizations are established.
Integrals of logarithmic and hypergeometric functions
Integrals of logarithmic and hypergeometric functions are intrinsically connected with Euler sums. In this paper we explore many relations and explicitly derive closed form representations of integrals of logarithmic, hypergeometric functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.
Integration der Gleichung ..............durch Bessel'sche Functionen
Integro-differential-difference equations associated with the Dunkl operator and entire functions
In this work we consider the Dunkl operator on the complex plane, defined by We define a convolution product associated with denoted and we study the integro-differential-difference equations of the type , where is a sequence of complex numbers and is a measure over the real line. We show that many of these equations provide representations for particular classes of entire functions of exponential type.
Interpolation of entire functions on regular sparse sets and -Taylor series
We give a pure complex variable proof of a theorem by Ismail and Stanton and apply this result in the field of integer-valued entire functions. Our proof rests on a very general interpolation result for entire functions.
Interpolatorische Kubatorformeln und reelle Ideale.
Intertwining Operators and Polynomials Associated with the Symmetric Group.
Introduction à une théorie élémentaire des intégrales elliptiques (communication faite à M. Hermite)
Inverse Problems Involving Generalized Axial-Symmetric Helmholtz Equation
MSC 2010: 35J05, 33C10, 45D05