Results 71 to 80 of about 596 (185)

Functional Mellin Transforms

, 2013
Functional integrals are defined in terms of locally compact topological groups and their associated Banach-valued Haar integrals. This approach generalizes the functional integral scheme of Cartier and DeWitt-Morette. The definition allows a construction of functional Mellin transforms.
openaire   +2 more sources

A transformation formula with primitive character

Lietuvos Matematikos Rinkinys, 2013
We prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with
Aidas Balčiūnas
doaj   +1 more source

A Green′s function for a convertible bond using the Vasicek model

Journal of Applied Mathematics, 2002
We consider a convertible security where the underlying stock price obeys a lognormal random walk and the risk-free rate is given by the Vasicek model.
R. Mallier, A. S. Deakin
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Error bound analysis and singularly perturbed Abel-Volterra equations

Journal of Applied Mathematics, 2004
Asymptotic solutions of nonlinear singularly perturbed Volterra integral equations with kernels possessing integrable singularity are investigated using singular perturbation methods and the Mellin transform technique.
Angelina M. Bijura
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Exchange Formulae for the Stieltjes–Poisson Transform over Weighted Lebesgue Spaces

Axioms
This paper aims to develop exchange formulae for the Stieltjes–Poisson transform by using Mellin-type convolutions in the context of weighted Lebesgue spaces. A key result is the introduction of bilinear and continuous Mellin-type convolutions, expanding
Hari M. Srivastava, Emilio Ramón Negrín, Jeetendrasingh Maan   +2 more
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In memory of Alois Apfelbeck: An Interconnection between Cayley-Eisenstein-Pólya and Landau Probability Distributions

Acta Polytechnica, 2013
The interconnection between the Cayley-Eisenstein-Pólya distribution and the Landau distribution is studied, and possibly new transform pairs for the Laplace and Mellin transform and integral expressions for the Lambert W function have been found.
Vladimír Vojta
doaj  

Hybrid Transform-Based Feature Extraction for Skin Lesion Classification Using RGB and Grayscale Analysis

Applied Sciences
Automated skin lesion classification using machine learning techniques is crucial for early and accurate skin cancer detection. This study proposes a hybrid method combining the Hermite, Radial Fourier–Mellin, and Hilbert transform to extract ...
Luis Felipe López-Ávila, Josué Álvarez-Borrego   +1 more
doaj   +1 more source

The Master Integral Transform with Entire Kernels

Mathematics
We study an integral transform—here called the Master Integral Transform—in which the kernel is an arbitrary entire function of finite order. When the nonzero Taylor coefficients of the kernel have positive Beurling–Malliavin density, we prove ...
Mohammad Abu-Ghuwaleh
doaj   +1 more source

Subdiffusion in the Presence of Reactive Boundaries: A Generalized Feynman-Kac Approach. [PDF]

J Stat Phys, 2023
Kay T, Giuggioli L.
europepmc   +1 more source

MELLIN TRANSFORM AS PARTICULAR REALIZATION OF GENERAL SCHEME OF INTEGRAL TRANSFORM CONSTRUCTION

Наука и техника, 2009
The paper is to study application of a general scheme pertaining to integral transform construction with the purpose to obtain the well-known Mellin transform.A determining factor of its construction is a linear differential operator T = t d/dt  in the ...
A. S. Gakhovich
doaj