In recent decades, advances have extended the classical families—such as Hermite, Laguerre and Jacobi polynomials—to so‐called exceptional orthogonal polynomials. These variants allow for ...

In parallel, research into Δɷ-Laguerre based Appell polynomials has opened up new pathways by linking these polynomials to well-known special functions, thereby broadening their applicability ...

This method offers the advantages of representing the intensity with a high accuracy using only a few Laguerre polynomials, and straightforward extension to inhomogeneous media. Also, this formulation ...

The proposed technique consists of three sections i.e., first the delays are approximated using the recursive relation of Laguerre polynomials, then in the second part, the reduced order is estimated ...

In this work, an extension of the algebraic formulation of the operational Tau method (OTM) for the numerical solution of the linear and nonlinear fractional integro-differential equations (FIDEs) is ...

The 47th annual Shriners All-Star Football Classic will be held at Hormel Stadium in Medford on Friday, June 13. Top high school football players from the Class of 2025 in Eastern Massachusetts ...

ABSTRACT: Starting from two mutually alternative definitions of Hermite polynomials, we derive new relations between these polynomials for arbitrarily stretched arguments. Furthermore, some ...

ABSTRACT: Starting from two mutually alternative definitions of Hermite polynomials, we derive new relations between these polynomials for arbitrarily stretched arguments. Furthermore, some ...

Solving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicians, engineers and others. Nowadays, the labor of scientific computation has been greatly ...

A groundbreaking discovery from a UNSW Sydney mathematician may finally offer a solution to one of algebra’s toughest problems: how to solve high-degree polynomial equations. Polynomials are equations ...

Rainfall depth and rainfall intensity are related as follows: The polynomial coefficients underlying the design rainfalls can be displayed for point locations. These can be displayed for all locations ...

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