Results 41 to 50 of about 101 (73)

α-Mellin Transform and One of Its Applications [PDF]

, 2012
MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we
Nikolova, Yanka
core  

New convolutions for the Hartley integral transform imbedded in the Banach algebras and convolution-type integral equations

Demonstratio Mathematica
This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities ...
Tuan Nguyen Minh, Giang Bui Thi, Ha Quan Thai   +2 more
doaj   +1 more source

Matrix-Variate Statistical Distributions and Fractional Calculus [PDF]

, 2011
MSC 2010: 15A15, 15A52, 33C60, 33E12, 44A20, 62E15 Dedicated to Professor R. Gorenflo on the occasion of his 80th birthdayA connection between fractional calculus and statistical distribution theory has been established by the authors recently.
Mathai, A., Haubold, H.
core  

Fractional Calculus of P-transforms [PDF]

, 2010
MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99The fractional calculus of the P-transform or pathway transform which is a generalization of many well known integral transforms is studied. The Mellin and Laplace transforms of a P-transform are obtained.
Kumar, Dilip, Kilbas, Anatoly
core  

Solutions of certain initial-boundary value problems via a new extended Laplace transform

Nonlinear Engineering
In this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya, Akel Mohamed, Abdalla Mohamed   +2 more
doaj   +1 more source

The reciprocal of the weighted geometric mean of many positive numbers is a Stieltjes function

, 2018
In the paper, by the Cauchy integral formula in the theory of complex functions, an integral representation for the reciprocal of the weighted geometric mean of many positive numbers is established.
Qi, Feng, Guo, Bai-Ni
core  

A new family of Lerch-type zeta functions interpolating a certain class of higher-order Apostol-type numbers and Apostol-type polynomials

, 2019
The aim of this paper is to investigate some classes of higher-order Apostol-type numbers and Apostol-type polynomials. We construct Lerch-type zeta functions which interpolate these numbers and polynomials at negative integers.
Kucukoğlu, Irem, Simsek, Yilmaz, Srivastava, H.M.   +2 more
core  

Singular Integral Transforms and Fast Numerical Algorithms

. Fast algorithms for the accurate evaluation of some singular integral operators that arise in the context of solving certain partial differential equations within the unit circle in the complex plane are presented. These algorithms are generalizations
Prabir Daripa, Daoud Mashat
core  

FRACTIONAL CALCULUS OPERATORS OF GENERALIZED CONFLUENT HYPERGEOMETRIC FUNCTION

, 2016
J. Patel, Neelam Pandey
semanticscholar   +1 more source

Erratum on "Some bounds for alternating Mathieu type series"

, 2010
R. Hilfer
semanticscholar   +1 more source