Results 91 to 100 of about 167 (138)

On a recurrence relation of generalized Mittag-Leffler function

open access: yesSurveys in Mathematics and its Applications, 2009
Summary: The principal aim of this paper is to investigate a recurrence relation and an integral representation of generalized Mittag-Leffler function \(E_{\alpha ,\beta }^{\gamma ,q}(z)\). At the end several special cases are also discussed.
Ajay K. Shukla, Jyotindra C. Prajapati
openaire   +2 more sources

Incomplete Pochhammer Ratios and Related Special Functions

open access: yes, 2018
Doctor of Philosophy in Mathematics. Thesis (Ph.D.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2018. Supervisor: Prof. Dr. Mehmet Ali Özarslan.This thesis includes five chapters.
Ustaoğlu, Ceren
core  

On an operator method for constructing solutions to integral and differential equations with a singularity: On an operator method for constructing solutions to integral and differential equations with a singularity

open access: yes, 2023
In this paper, we consider new classes of fractional integral and derivative. These operators are generalizations of well-known integrals and the Riemann-Liouville derivative and the Caputo derivative. The article considers an operator method for solving
ТУРМЕТОВ, Б.Х.   +1 more
core  

Further generalizations of Hadamard and Fejér–Hadamard fractional inequalities and error estimates

open access: yes
The aim of this paper is to generalize the fractional Hadamard and Fejér–Hadamard inequalities. By using a generalized fractional integral operator containing extended Mittag-Leffler function via monotone function, for convex functions we generalize well
Yussouf M.   +4 more
core   +1 more source

On a generalized Mittag-Leffler function

open access: yesInternational Journal of Mathematical Analysis, 2019
openaire   +1 more source

Осциллирующие интегралы для функций Миттаг-Леффлера

open access: yes
Variations of the van der Corput lemmas that involve Mittag-Leffler functions are studied in this paper. The extension involves replacing the exponential function with a Mittag–Leffler-type function.
Сафаров, Акбар Р.   +3 more
core   +1 more source

Uniform-tangential approximation by analytical functions, applications

open access: yes, 1992
The study deals with classes of functions uniformly approximated in closed subsets of the region by analytical in the region functions. The work is aimed at studying the properties of classes of uniformly approximated functions, the relation of the ...
Saakyan Ruben Shwytsikovich
core  

Revisiting Ramanujan’s Master Theorem

open access: yes
Ramanujan’s master theorem is considered to express particular values of the Liouville fractional derivatives. This fact is used to immediately obtain generalizations.
Gabriel Bengochea   +1 more
core   +1 more source

Additive Geometric Stable Processes and Related Pseudo-Differential Operators

open access: yes, 2019
Additive processes are obtained from Levy ones by relaxing the condition of stationary increments, hence they are spatially (but not temporally) homogeneous.
Costantino Ricciuti, Luisa Beghin
core  

Certain generating functions involving generalized Mittag-Leffler function

open access: yesInternational Journal of Mathematical Analysis, 2018
Mehar Chand, Rekha Rani
openaire   +1 more source

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