Results 101 to 110 of about 534,889 (233)

Approximation by Meromorphic Functions with Mittag-Leffler Type Constraints [PDF]

, 2001
P. M. Gauthier, Mohamad R. Pouryayevali
openalex   +1 more source

Generalized Langevin Equation and the Prabhakar Derivative

Mathematics, 2017
We consider a generalized Langevin equation with regularized Prabhakar derivative operator. We analyze the mean square displacement, time-dependent diffusion coefficient and velocity autocorrelation function.
Trifce Sandev
doaj   +1 more source

The generating function of the $σ_1$ function [PDF]

arXiv, 2011
In this paper, we give a generate function for the $\sigma_1$ function. Then we find some connections between the $\sigma_1$ function and the Ramanujan's tau function. We hope this connection will give some insights into the unsolved problems in classical number theory.
arxiv  

Sharp Estimates for Norms of Functions from Conjugate Classes in Metrics C and L [PDF]

arXiv, 2014
Sharp estimates for C - and L - norms of functions that are conjugate with functions from the classes W^rH_\omega of periodic functions having prescribed concave majorant of moduli of continuity, as well as sharp estimates for the differences of such functions are obtained.
arxiv  

Non-commutative Functional Calculus and Spectral Theory [PDF]

arXiv, 2015
We develop a functional calculus for $d$-tuples of non-commuting elements in a Banach algebra. The functions we apply are free analytic functions, that is nc functions that are bounded on certain polynomial polyhedra.
arxiv  

New generalizations of Zeta-Function and Tricomi function [PDF]

arXiv, 2017
In this paper we introduce new generalizations of the zeta function, the Tricomi functions; their main properties are studied. This opens the way to a deeper, better application of these functions both in the theory of special functions, and in many applied sciences.
arxiv  

Fractional compartmental models and multi-term Mittag–Leffler response functions [PDF]

, 2010
Davide Verotta
openalex   +1 more source

Some fractional integral inequalities involving extended Mittag-Leffler function with applications

AIMS Mathematics
Integral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering.
Sabir Hussain, Rida Khaliq, Sobia Rafeeq, Azhar Ali, Jongsuk Ro   +4 more
doaj   +1 more source

A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

Abstract and Applied Analysis, 2012
Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions.
Thabet Abdeljawad, Betül Benli, Dumitru Baleanu   +2 more
doaj   +1 more source

$\,_{3}F_{4}$ hypergeometric functions as a sum of a product of $\,_{2}F_{3}$ functions [PDF]

arXiv
This paper shows that certain $\,_{3}F_{4}$ hypergeometric functions can be expanded in sums of pair products of $\,_{1}F_{2}$ functions. In special cases, the $\,_{3}F_{4}$ hypergeometric functions reduce to $\,_{2}F_{3}$ functions. Further special cases allow one to reduce the $\,_{2}F_{3}$ functions to $\,_{1}F_{2}$ functions, and the sums to ...
arxiv