Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
EULER-TYPE INTEGRAL REPRESENTATIONS FOR TWO-DIMENSIONAL FUNCTIONS OF THE MITTAG-LEFFLER-TYPE
View through CrossRef
The Euler-type integral representations for two two-dimensional functions of the Mittag-Leffler type are established. In these integral representations, these two-dimensional functions are represented in terms of themselves with different parameters, in terms of known hypergeometric functions of a single variable, or via another two-dimensional function of Mittag-Leffler type.
Keywords: two-dimensional functions of Mittag-Leffler type, Euler integrals, hypergeometric functions, integral representation.
Title: EULER-TYPE INTEGRAL REPRESENTATIONS FOR TWO-DIMENSIONAL FUNCTIONS OF THE MITTAG-LEFFLER-TYPE
Description:
The Euler-type integral representations for two two-dimensional functions of the Mittag-Leffler type are established.
In these integral representations, these two-dimensional functions are represented in terms of themselves with different parameters, in terms of known hypergeometric functions of a single variable, or via another two-dimensional function of Mittag-Leffler type.
Keywords: two-dimensional functions of Mittag-Leffler type, Euler integrals, hypergeometric functions, integral representation.
Related Results
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...
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...
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...
CHARACTERIZATION OF THE POTIGUAR RIFT STRUCTURE BASED ON EULER DECONVOLUTION
CHARACTERIZATION OF THE POTIGUAR RIFT STRUCTURE BASED ON EULER DECONVOLUTION
ABSTRACT. The Euler deconvolution is a semi-automatic interpretation method of potential field data that can provide accurate estimates of horizontal position and depth of causativ...
Euler-Net: A Tendency Learning Framework for Robust Long-Term Soil Moisture Forecasting
Euler-Net: A Tendency Learning Framework for Robust Long-Term Soil Moisture Forecasting
Accurate simulation of soil moisture is foundemental in hydrological modeling and water resource management. While increasingly widely used in soil moisture simulations, deep learn...
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 ...
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...
Stability and instability results for the 2D [alpha]-Euler equations
Stability and instability results for the 2D [alpha]-Euler equations
We study stability and instability of time independent solutions of the two dimensional a-Euler equations and Euler equations; the a-Euler equations are obtained by replacing the n...