Corpus ID: 220344809

Certain Integral Transforms for the Incomplete Functions

@inproceedings{Choi2015CertainIT,
  title={Certain Integral Transforms for the Incomplete Functions},
  author={Junesang Choi and P. Agarwal},
  year={2015}
}
Srivastavaet al. [14] introduced the incomplete Pochhammer symbols that lead to a natural generalization and decomposition of a class of hypergeometric and other relate d functions to mainly investigate certain potentially usef ul closed-form representations of definite and semi-definite integrals of v arious special functions. Here, in this paper, we use the int egral transforms like Beta transform, Laplace transform, Mellin transform, Whittaker transforms, K-transform and Hankel transform to… Expand
A Family of the Incomplete Hypergeometric Functions and Associated Integral Transform and Fractional Derivative Formulas
Recently, Srivastava et al. [ Integral Transforms Spec. Funct. 23 (2012), 659-683] introduced the incomplete Pochhammer symbols that led to a natural generalization and decomposition of a class ofExpand
A new aspect of generalized integral operator and an estimation in a generalized function theory
In this paper we investigate certain integral operator involving Jacobi–Dunkl functions in a class of generalized functions. We utilize convolution products, approximating identities, and severalExpand
EXTENDED MITTAG-LEFFLER FUNCTIONS ASSOCIATED WITH WEYL FRACTIONAL CALCULUS OPERATORS
Abstract.: This article deals with the family of extended Mittag-Leffler function in short ML-function defined in terms of extended Beta function, which depends upon the bounded sequence {κn}. TheExpand
Finding Differential Transform Using Difference Equations
Differential transform is applied to solve linear and nonlinear ordinary differential/difference equations. Many properties of the differential transform are known. In this paper, we construct andExpand

References

SHOWING 1-10 OF 22 REFERENCES
The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
By means of the familiar incomplete gamma functions γ(s, x) and Γ(s, x), we introduce the incomplete Pochhammer symbols that lead us to a natural generalization and decomposition of a class ofExpand
Generating functions for a certain class of incomplete hypergeometric polynomials
TLDR
Several generating functions for a certain class of incomplete hypergeometric polynomials associated with them are investigated. Expand
Certain Fractional Integral Operators and the Generalized Incomplete Hypergeometric Functions
In this paper, we apply a certain general pair of operators of fractional integration involving Appell's function F3 in their kernel to the generalized incomplete hypergeometric functions pq(z) and pExpand
Some properties of a family of incomplete hypergeometric functions
Recently, Srivastava et al. introduced and studied some fundamental properties and characteristics of a family of potentially useful incomplete hypergeometric functions. Our principal objective inExpand
Certain Class of Generating Functions for the Incomplete Hypergeometric Functions
Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. In this paper, we aim to establish certain generating functions forExpand
ASYMPTOTIC EXPANSIONS FOR GENERALIZED GAMMA AND INCOMPLETE GAMMA FUNCTIONS
Kobayashi(jour.phy.soc.japan 60(1991),1501_1512) considered a generalized Gamma function occuring in Diffraction Theory. This article considers a more general function involving Gauss hypergeometricExpand
Further results on a generalized gamma function occurring in diffraction theory
Recently, Kobayashi (Jour. Phy. Soc. Japan 60(1991), 1501-1512) has considered a generalized Gamma function, Г m (u,υ), occurring in Diffraction Theory. This article considers a more general functionExpand
On the H-function
This paper is devoted to the study of the H -function as defined by the Mellin-Barnes integral H p , q m , n ( z ) = 1 2 π i ∫ ℒ ℋ p , q m , n ( s ) z − s d s , where the function ℋ p , q m , n (Expand
Differentiation formulas of some hypergeometric functions with respect to all parameters
TLDR
This work presents two methods to derive some differentiation formulas of the generalized hypergeometric function m F n, including the most commonly used Gauss hypergeometry function 2 F 1 and Kummer confluent hypergeomet function 1 F 1 as special cases, with respect to all parameters. Expand
On a Class of Incomplete Gamma Functions with Applications
GENERALIZED GAMMA FUNCTION The Gamma Fun ction G(a) Definition of the Generalized Gamma Function Properties of the Generalized Gamma Function Mellin and Laplace Transforms Asymptotic RepresentationsExpand
...
1
2
3
...