Geometric properties of the generalized Wright-Bessel functions
In this article, we studied the geometric properties of generalized Wright-Bessel functions. For this purpose, we determined sufficient conditions for univalency, convexity, starlikeness and close-to-convexity of the generalized Wright-Bessel functions in the open unit disk.
Akın Gülfem, Sevtap Sümer Eker
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Partial sums of generalized Lommel-Wright function
Basem Aref Frasin +2 more
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DIFFERENTIAL RECURRENCE RELATION OF GENERALIZED $K$-WRIGHT FUNCTION [PDF]
The principal aim of this paper is to establish differential re- currence relation and Integral representation of generalized K-Wright function pk(z) introduced by Gehlot and Prajapati (2). In the end some interesting special cases have also been discussed.
K.S. Gehlot +2 more
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Fractional calculus of generalized Lommel-Wright function and its extended Beta transform
In this work, we apply generalized Saigo fractional differential and integral operators having k-hypergeometric function as a kernel, to extended Lommel-Wright function.
Saima Naheed +2 more
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FAMILIES OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION [PDF]
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.
Jacek Dziok, R. K. Raina
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Generalized Wright Function and Its Properties Using Extended Beta Function
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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Some properties of Wright-type generalized hypergeometric function via fractional calculus [PDF]
Abstract This paper is devoted to the study of a Wright-type hypergeometric function (Virchenko, Kalla and Al-Zamel in Integral Transforms Spec. Funct. 12(1):89-100, 2001) by using a Riemann-Liouville type fractional integral, a differential operator and Lebesgue measurable real or complex-valued functions.
S. B. Rao +3 more
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On a generalized three-parameter wright function of Le Roy type [PDF]
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.
Roberto Garrappa +2 more
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Some Unified Integrals for Generalized Mittag-Leffler Functions
Here, we ascertain generalized integral formulas concerning the product of the generalized Mittag-Leffler function. These integral formulas are described in the form of the generalized Lauricella series.
Prakash Singh +2 more
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Steklov problem for a linear ordinary fractional delay differential equation with the Riemann-Liouville derivative [PDF]
This paper studies a nonlocal boundary value problem with Steklov’s conditions of the first type for a linear ordinary delay differential equation of a fractional order with constant coefficients.
M.G. Mazhgikhova
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