Abstract: In this correspondence, we develop a method to determine the complete coset weight distributions of the class of singly even self-dual binary codes. Our basic tool is the Jacobi polynomials ...

Abstract: In this paper we study the ladder operators for little q-Jacobi polynomials and for polynomials orthogonal with respect to a generalized q-Jacobi weight. We also briefly discuss the ...

In this paper we fi nd division polynomials for Jacobi quartics. These curves are an alternate model for elliptic curves to the more common Weierstrass equation. Division polynomials for Weierstrass ...

ABSTRACT: Starting from general Jacobi polynomials we derive for the Ul-traspherical polynomials as their special case a set of related polynomials which can be extended to an orthogonal set of ...

In this paper we generalize and specialize generating functions for classical orthogonal polynomials, namely Jacobi, Gegenbauer, Chebyshev and Legendre polynomials. We derive a generalization of the ...

This is inspired by Kolmogorov-Arnold Networks https://arxiv.org/abs/2404.19756v2, which uses B-splines to approximate functions. B-splines are poor in performance ...

Other examples include chebyshevu, legendrep, jacobip, ultrasphericalc, hermiteh and laguerrel. For expansion, it supports usage as quasi-arrays where one axis is continuous and the other axis is ...

ABSTRACT: In analogy to the role of Lommel polynomials in relation to Bessel functions Jv(z) the theory of Associated Hermite polynomials in the scaled form with parmeter v to Parabolic Cylinder ...