Results 111 to 120 of about 516,382 (294)
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
Addition formulas for q-special functions
A general addition formula for a two-parameter family of Askey-Wilson polynomials is derived from the quantum $SU(2)$ group theoretic interpretation. This formula contains most of the previously known addition formulas for $q$-Legendre polynomials as ...
Koelink, Erik
core +1 more source
Shifted Legendre Polynomials For Solving Second Kind Fredholm Integral Equations
E. S. Shoukralla +2 more
openalex +1 more source
Abstract Purpose (a) To design a methodology for drawing random samples of any Ensemble Average Propagator (EAP) (b) to modify the KomaMRI simulator to accommodate them as realistic spin movements to simulate diffusion MRI (dMRI) and (c) to compare these simulations with those based on the Diffusion Tensor (DT) model.
Justino R. Rodríguez‐Galván +7 more
wiley +1 more source
ABSTRACT This study presents a polynomial‐based wind speed profile characterization framework that approximates full vertical profiles using five physically meaningful Chebyshev polynomial coefficients. The framework captures key morphological features of wind profiles, including mean wind speed, vertical shear, curvature, inflection‐related behavior ...
Harish Baki, Sukanta Basu
wiley +1 more source
The eigenvalues of one-speed neutrons in a slab with forward and backward scattering
The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given.
Ökkeş Ege, Hakan Öztürk
doaj +1 more source
Portfolio Optimization for Pension Purposes: Literature Review
ABSTRACT This systematic review identifies persistent challenges and gaps in the literature on pension portfolio optimization models. We searched, selected, and critically analyzed 82 articles from three major academic databases published over the past decade to investigate the barriers to the effective implementation of these models.
Leonardo Moreira +2 more
wiley +1 more source
Hypergeometric motives from Euler integral representations
Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim +3 more
doaj +1 more source

