Results 101 to 110 of about 2,125,985 (294)
Valuation of European Call Options via the Fast Fourier Transform and the Improved Mellin Transform
This paper considers the valuation of European call options via the fast Fourier transform and the improved Mellin transform. The Fourier valuation techniques and Fourier inversion methods for density calculations add a versatile tool to the set of ...
Sunday Emmanuel Fadugba, C. Nwozo
semanticscholar +1 more source
We reconstruct the initial functions from the trace of the solution of an initial value problem for the wave equation on the light cone. A method to recover the initial function from the solution of the wave equation on the light cone is already known for odd spatial dimensions.
Dabin Park, Sunghwan Moon
wiley +1 more source
Asymptotics of integrodifferential models with integrable kernels II
Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
doaj +1 more source
FRACTIONAL CALCULUS AND LAMBERT FUNCTION I. LIOUVILLE–WEYL FRACTIONAL INTEGRAL
The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved.
Vladimír Vojta
doaj +1 more source
On the Mellin transforms of powers of Hardy's function. [PDF]
Various properties of the Mellin transform function $$\mathcal{M}_k(s):= \int_1^{\infty} Z^k(x)x^{-s}\,dx$$ are investigated, where $$Z(t):=\zeta(\frac{1}{2}+it)\,\chi(\frac{1}{2}+it)^{-1/2},~~~~\zeta(s)=\chi(s)\zeta(1-s)$$ is Hardy's function. Connections with power moments of $|\zeta(\frac{1}{2}+it)|$ are established, and natural boundaries of ...
openaire +5 more sources
Abstract Ocean warming and species exploitation have already caused large‐scale reorganization of biological communities across the world. Accurate projections of future biodiversity change require a comprehensive understanding of how entire communities respond to global change.
Hadayet Ullah+3 more
wiley +1 more source
On the Commutativity of a Certain Class of Toeplitz Operators
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam+2 more
doaj +1 more source
The foundations of fractional Mellin transform analysis [PDF]
In this article we study the basic theoretical properties of Mellin-type fractional integrals, known as generalizations of the Hadamard-type fractional integrals. We give a new approach and version, specifying their semigroup property, their domain and range.
arxiv
Effects of protection and temperature variation on temporal stability in a marine reserve network
Abstract Understanding the drivers of ecosystem stability has been a key focus of modern ecology as the impacts of the Anthropocene become more prevalent and extreme. Marine protected areas (MPAs) are tools used globally to promote biodiversity and mediate anthropogenic impacts.
Griffin Srednick, Stephen E. Swearer
wiley +1 more source
Mellin transform in bicomplex space and its application
Motivated by the recent applications of bicomplex theory to the study of functions of large class, in this paper, we define bicomplex Mellin transform of bicomplex-valued functions.
R. Agarwal, M. Goswami, R. Agarwal
semanticscholar +1 more source