Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A New Representation of Extended Mittage-Leffler Function and Its Properties
View through CrossRef
In this article, our main purpose is to establish a new extension of Mittag-Leffler function by using the known extended beta function $\mathbf{B}_{\omega}(a,b;p)$ introduced in [1]. It led to a novel extension of the applicability of Mittag-Leffler function that introduced them as distributions defined for a specific set of functions. We also, investigate some of its important properties, namely recursion relation, Mellin transform and differential formulas.
Title: A New Representation of Extended Mittage-Leffler Function and Its Properties
Description:
In this article, our main purpose is to establish a new extension of Mittag-Leffler function by using the known extended beta function $\mathbf{B}_{\omega}(a,b;p)$ introduced in [1].
It led to a novel extension of the applicability of Mittag-Leffler function that introduced them as distributions defined for a specific set of functions.
We also, investigate some of its important properties, namely recursion relation, Mellin transform and differential formulas.
Related Results
EULER-TYPE INTEGRAL REPRESENTATIONS FOR TWO-DIMENSIONAL FUNCTIONS OF THE MITTAG-LEFFLER-TYPE
EULER-TYPE INTEGRAL REPRESENTATIONS FOR TWO-DIMENSIONAL FUNCTIONS OF THE MITTAG-LEFFLER-TYPE
The Euler-type integral representations for two two-dimensional functions of the Mittag-Leffler type are established. In these integral representations, these two-dimensional funct...
Mittag-Leffler type functions of three variables
Mittag-Leffler type functions of three variables
In this article, we generalized Mittag-Leffler-type functions F ̵̄ A ( 3 )
, F ̵̄ B ( 3 ) , F ̵̄ C ( 3 ) and F ̵̄ D ( 3 ) , which correspond,
respectively, to the familiar Lauricel...
A Fractional‐Order Kinetics Approach for Modeling Enzymatic Starch Multiscale Digestion
A Fractional‐Order Kinetics Approach for Modeling Enzymatic Starch Multiscale Digestion
AbstractThe characterization of the enzymatic hydrolysis of starch is a prerequisite for assessing the impact of starchy food in the gastrointestinal tract. The issue is relevant g...
Geometric Properties of Harmonic Function Affiliated With Fractional Operator
Geometric Properties of Harmonic Function Affiliated With Fractional Operator
This paper's goal is to discover new results for the harmonic univalent functions G=υ+η defined in the open unit disc ρ={z: |z|<1}. Examining KS indicates the set of all analyti...
Representation as a language of scientific practice
Representation as a language of scientific practice
<p>The purpose of this study was to explore how students view the use of representation in science classroom. Representation, as a disciplinary language of science, has long ...
A comparative analysis of generalized exponential decay
A comparative analysis of generalized exponential decay
This paper explores the similarities and differences between the Mittag-Leffler function and a recently introduced one-parameter function, when (α, q) ∈ (0, 1)—where α is called th...
Fractional Calculus in the Solution of the Klein–Gordon Equation
Fractional Calculus in the Solution of the Klein–Gordon Equation
This paper investigates the Klein–Gordon equation within the framework of fractional calculus by incorporating non-integer time and spatial derivatives to model physical processes ...
Investigation for Existence, Controllability \& Observability of a Fractional order Delay Dynamical System
Investigation for Existence, Controllability \& Observability of a Fractional order Delay Dynamical System
Recently, several research articles have investigated the existence of
solution of dynamical systems with fractional-order and as well as
expounded controllability. Nevertheless, v...