Results 91 to 100 of about 16,055 (246)

A Note on Mellin Transform and Distributions [PDF]

open access: yesMathematical and Computational Applications, 2004
Mellin Transform occurs in many branches of Applied Mathematics and Engineering. The Mellin transform is very much related to the Laplace and Fourier transforms and the theory for the ordinary functions is well established. In the distributional sense, first it was studied by Zemanian in [2].
openaire   +2 more sources

A summation formula concerning the Mellin Transform

open access: yesRevista Técnica de la Facultad de Ingeniería, 2010
We derive a new summation formula involving Mellin transform. We apply this formula to sum various series related to elliptic integrals and theta functions.
M. Glasser   +2 more
doaj  

A transformation formula with primitive character

open access: yesLietuvos 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

open access: yesJournal 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

Functional Mellin Transforms

open access: yes, 2019
Conventional functional/path integrals used in physics often can be defined as infinite-dimensional analogs of Fourier transforms. It turns out that the infinite-dimensional analog of the Mellin transform similarly defines a class of functional integrals.
LaChapelle, J.
core  

Singular expansion of the wave kernel and harmonic sums on Riemannian symmetric spaces of the non-compact type

open access: yesAIMS Mathematics
The Mellin transform assigned to the convolution Poisson kernel on higher rank Riemannian symmetric spaces of the non-compact type is equal to the wave kernel.
Ali Hassani
doaj   +1 more source

Error bound analysis and singularly perturbed Abel-Volterra equations

open access: yesJournal 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

Pricing American options with Mellin transforms [PDF]

open access: yes
Mellin transforms in option pricing theory were introduced by Panini and Srivastav (2004). In this contribution, we generalize their results to European power options.
Frontczak, Robert, Schöbel, Rainer
core  

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