in this paper , numerical solotion of abel's integral equationby using the taylor expanssion of the unknown functionvia collection method based on sinc is considered...

aAbel Salazar Institute for Biomedical Sciences (ICBAS), University of Porto, Largo Prof. Abel Salazar 2, 4099-003 Porto, Portugal. bLEPAE, Chemical Engineering Department, Engineering Faculty, University of Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal. cVeterinary Sciences Department, CECAV, University of Trás-os-Montes and Alto Douro, Quinta de Prados 5001-801 Vila Real, Portugal.

Why do brokers charge per share commissions to institutional traders? What determines the commission charge? The choice of per share commissions as a payment method is puzzling, as commissions are not the most natural way to charge for order execution because costs are not proportional to the trade size and commissions are supposed to deter trading. We contend that commissions, rather than repr...

Let t be a sequence in (0,1) that converges to 1, and define the Abel-type matrix Aα,t by ank = ( k+α k ) tk+1 n (1−tn)α+1 for α>−1. The matrix Aα,t determines a sequenceto-sequence variant of the Abel-type power series method of summability introduced by Borwein in [1]. The purpose of this paper is to study these matrices as mappings into . Necessary and sufficient conditions for Aα,t to be , ...

A direct almost Bernstein operational matrix of integration is used to propose a stable algorithm for numerical inversion of the generalized Abel integral equation. The applicability of the earlier proposed methods was restricted to the numerical inversion of a part of the generalized Abel integral equation. The method is quite accurate and stable as illustrated by applying it to intensity data...

Introduction 1 1. Basic notions 6 1.1. Motives for rational and homological equivalence 6 1.2. Algebraic Hecke characters 7 1.3. The motive of a Hecke character 8 1.4. Deligne-Scholl motives 9 1.5. Modular parametrisations attached to CM forms 10 1.6. Generalised Heegner cycles and Chow-Heegner points 13 1.7. A special case 15 2. Chow-Heegner points over Cp 15 2.1. The p-adic Abel-Jacobi map 15...

In this paper, we characterize some properties of regular Abel-Grassmann’s groupoid in terms of its (∈,∈ ∨qk)-fuzzy ideals.

Following the prints of Smale’s horseshoe, we trace the problems originated from the interface between hyperbolic stability and the Abel-JacobiAlbanese construction. 1 Abelianization, Super-stability and Univer-

We give an example of two rational functions with non-equal Julia sets that generate a rational semigroup whose completely invariant Julia set is a closed line segment. We also give an example of polynomials with unequal Julia sets that generate a non nearly Abelian polynomial semigroup with the property that the Julia set of one generator is equal to the Julia set of the semigroup. These examp...

Since its first production in 1947, Arthur Miller’s All My Sons has been performed and appreciated worldwide. In academic studies on Miller, it secures an important place as a precursor, because it has encompassed such themes as father-son conflict, pursuit of success dream in the form of a traditional tragedy as well as a family and a social play. As for techniques, to begin with, the Ibsenite...