Results 61 to 70 of about 6,510,130 (173)

The Normalized Prabhakar Fractional Operator’s Boundedness Across Various Spaces

International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.
A functional space called the Bloch space is made up of analytic functions on the unit disk in the complex plane. These functions provide a number of benefits and intriguing characteristics, as well as meeting specific growth requirements. In this notice, the boundedness of certain fractional integral operator in a class of Bloch spaces is investigated.
Rabha W. Ibrahim, Shikha Binwal
wiley   +1 more source

Generalized Fractional Integration of the H-Function Involving General Class of Polynomials

Walailak Journal of Science and Technology, 2014
In the present paper, we consider 2 integral transforms involving the Appell function F3 in the kernels. They generalize the fractional integral operators given by Saigo (1978).
Dinesh KUMAR, Praveen AGARWAL, Sunil Dutt PUROHIT   +2 more
doaj   +1 more source

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source

Fractional Whittaker Functions via a Fractional Kummer Equation

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We develop a fractional analogue of the regular Whittaker function through a fractional Kummer equation constructed from the Caputo derivative and the associated fractional Euler operator Θα=xαCD0+α,01<α≤. The resulting fractional‐power series is governed by the sequence qnα=Γαn+1/Γαn−1+1,n≥10,q0α≔,which determines the coefficient recurrence ...
Muath Awadalla, Maryam Salem Alatawi, Lakhlifa Sadek   +2 more
wiley   +1 more source

Integral Transforms for the New Generalized Beta Function

Journal of New Theory, 2019
In this paper, some representation formulas for the generalized Gamma and Beta functions are obtained. Also, certain integral transforms for the generalized Beta function associated with the Wright hypergeometric function are derived.
Ahmed Ali Al-gonah, Waleed Khadher Mohammed   +1 more
doaj  

A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs ...
Priti Purohit, Ravi Gupta, Shyamsunder, D. L. Suthar, Antonio Di Crescenzo   +4 more
wiley   +1 more source

Generalizing Coherent States with the Fox H Function

Quantum Reports
In the present scenario, coherent states of a quantum harmonic oscillator are generalized with positive Fox H auxiliary functions. The novel generalized coherent states provide canonical coherent states and Mittag-Leffler or Wright generalized coherent ...
Filippo Giraldi
doaj   +1 more source

Some Fox-Wright generalized hypergeometric functions and associated families of convolution operators

Applicable Analysis and Discrete Mathematics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Exploring the Applications of Bicomplex Confluent Hypergeometric Functions in Fractional Calculus and Statistical Distributions

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a special version of hypergeometric functions constructed within the bicomplex system, referred to as the bicomplex confluent hypergeometric functions (BCHFs). We highlight important properties, concentrating on their structure with bicomplex numbers, their conditions for convergence, and their differential representation.
Mohra Zayed, Ahmed Bakhet, Shahid Hussain, Aya M. Mourad, Luigi Rarità   +4 more
wiley   +1 more source

A study of generalized Mittag-Leffler-type function of arbitrary order

Demonstratio Mathematica
We present a novel generalized Mittag-Leffler-type function of arbitrary order in this study. We look into its fundamental characteristics, such as differential formulas, recurrence relations, integral representations, the Euler, Laplace, Mellin ...
Bin-Saad Maged, Younis Jihad
doaj   +1 more source