Results 61 to 70 of about 32,513 (203)
ABSTRACT Recent advances in the numerical solution of fractional partial differential equations have yielded promising results. In particular, the Shifted Grünwald–Letnikov (SGL) approach allows for a generalization of the traditional finite difference method to the context of fractional differential equations.
Pedro Victor Serra Mascarenhas +1 more
wiley +1 more source
Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
This study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
doaj +1 more source
Higher-Order Hermite-Fejér Interpolation for Stieltjes Polynomials
Let and be the ultraspherical polynomials with respect to . Then, we denote the Stieltjes polynomials with respect to satisfying . In this paper, we consider the higher-order Hermite-Fejér interpolation operator based on the zeros of and the higher
Hee Sun Jung, Ryozi Sakai
doaj +1 more source
DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER WITH ORTHOGONAL POLYNOMIAL SOLUTIONS
In this paper we developed conditions for orthogonality of polynomial Solutions of the fourth order differential equations with polynomial coefficients.
Santiago César Rojas Romero
doaj +1 more source
We compared population trends for rock ptarmigan Lagopus muta densities (2003‒2019) derived from walked transects and driven road transects in Mosfellsheiði and Slétta in southwest and northeast Iceland, respectively. The walked transects were laid out according to a random rule.
Matteo Ferrarini, Ólafur K. Nielsen
wiley +1 more source
Density estimates assist conservation and management decisions. Unfortunately, management of elusive mesocarnivores occurring at low densities has often relied on qualitative metrics or population indices. The proliferation of camera trap sampling of wildlife provides an opportunity to apply recently developed methods for estimating density of unmarked
Zackary J. Delisle +3 more
wiley +1 more source
Recurrence Relations for Wronskian Hermite Polynomials
We consider polynomials that are defined as Wronskians of certain sets of Hermite polynomials. Our main result is a recurrence relation for these polynomials in terms of those of one or two degrees smaller, which generalizes the well-known three term ...
Bonneux, Niels, Stevens, Marco
core +1 more source
Reintroduction of an Endangered Butterfly, the Mottled Duskywing (Erynnis martialis)
We reintroduced Mottled Duskywing (Erynnis martialis), an endangered skipper butterfly, at different life‐stages to restored oak savanna habitat in Ontario, Canada and then performed intensive post‐release monitoring. Our results show that, at one of three sites, a population was established within two years of initiating releases and that pupae and ...
Michelle Polley +7 more
wiley +1 more source
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj +1 more source
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj +1 more source

