Results 31 to 40 of about 6,518,305 (275)

Certain integral Transforms of the generalized Lommel-Wright function [PDF]

Cubo (Temuco), 2019
The generalized Lommel-Wright function is a generalization of the trigonometric, generalized Bessel and Struve functions. The purpose of this article is to find Euler, Laplace, Whittaker and Fractional Fourier transforms of these generalized Lommel-Wright functions. Reviewers remarks: A quite similar article is [\textit{S.
Haq, S., Nisar, K.S., Khan, A.H., Suthar, D.L.   +3 more
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On a generalized three-parameter wright function of Le Roy type [PDF]

Fractional Calculus and Applied Analysis, 2017
Recently S. Gerhold and R. Garra-F. Polito independently introduced a new function related to the special functions of Mittag-Leffler family. This function is a generalization of the function studied by E. Le Roy in the period 1895-1905 in connection with the problem of analytic continuation of power series with a finite radius of convergence.
Garrappa, Roberto, Rogosin, Sergei, Mainardi, Francesco   +2 more
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Green function method for a fractional–order delay differential equation

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we investigated a boundary value problem with the Sturm-Liouville type conditions for a linear ordinary differential equation of fractional order with delay. The condition for the unique solvability of the problem is obtained in the form △
M.G. Mazhgikhova
doaj   +1 more source

FAMILIES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION

Demonstratio Mathematica, 2004
Summary: By introducing a new class of analytic functions with negative coefficients which involves the Wright's generalized hypergeometric function, we investigate the coefficient bounds, distortion theorems, extreme points and radii of convexity and starlikeness for this class of functions.
Dziok, Jacek, Raina, R. K.
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DIFFERENTIAL EQUATION OF GENERALIZED $K$-WRIGHT FUNCTION [PDF]

International Journal of Pure and Apllied Mathematics, 2013
In this paper, authors introduced a homogeneous liner differential equation whose one of the solution in the form of Generalized K -Wright func- tion. Special cases also deduced in terms of Generalized Wright function and Generalized K-Mittag-Leffler function.
K.S. Gehlot, J.C. Prajapati, B.P. Patel
openaire   +1 more source

Generalized Wright Function and Its Properties Using Extended Beta Function

Tamkang Journal of Mathematics, 2020
Solving a linear partial differential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extentions (and generalizations) have been investigated and presented. The purpose and design of the paper is intended to study and come up with a new extention of the genralized Wright function by
Nabiullah Khan, Talha Usma, Mohd Aman
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Fractional Calculus of the Generalized Wright Function [PDF]

, 2005
The paper is devoted to the study of the fractional calculus of the generalized Wright function pΨq(z) defined for z ∈ C, complex ai, bj ∈ C and real αi, βj ∈ R (i = 1, 2, · · · p; j = 1, 2, · · · , q) by the series pΨq (z) It is proved that the Riemann-
Kilbas, Anatoly
core   +1 more source

MODEL SUBDIFFUSION RADON IN FRACTAL POROUS MEDIUM [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2013
We consider a model of subdiffusion radon without advection. With the help of the Green’s function found a solution model. It is shown that it is a generalization of the previously known classical solutions.
R.I. Parovik
doaj   +1 more source

Unified integral associated with the generalized V-function

Advances in Difference Equations, 2020
In this paper, we present two new unified integral formulas involving a generalized V-function. Some interesting special cases of the main results are also considered in the form of corollaries.
S. Chandak, S. K. Q. Al-Omari, D. L. Suthar   +2 more
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A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source