Results 61 to 70 of about 577 (166)

Motivic Mellin transforms

This work brings Mellin transforms into the realm of motivic integration. The new, larger class of motivic functions is stable under motivic Mellin and Fourier transforms, with general Fubini results and change of variables formulas. It specializes to $p$-adic integrals and $p$-adic Mellin transforms uniformly in $p$, with transfer principles between ...
Cluckers, Raf, Loeser, François, Nguyen, Kien Huu, Vermeulen, Floris   +3 more
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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

Una fórmula de adición usando la Transformada de Mellin A summation formula concerning the Mellin Transform

Revista Técnica de la Facultad de Ingeniería, 2010
En este trabajo una nueva fórmula de adición es derivada usando la transformada de Mellin. Esta fórmula es aplicada para sumar varias series relacionadas con las integrales elípticas y las funciones thetaWe derive a new summation formula involving Mellin
M.L Glasser, Nikos Bagis, Grazyna Majchrowska   +2 more
doaj  

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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