Articles with "konhauser polynomials" as a keyword



Fractional Calculus Operator Emerging from the 2D Biorthogonal Hermite Konhauser Polynomials

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Published in 2024 at "International Journal of Applied and Computational Mathematics"

DOI: 10.1007/s40819-025-01932-8

Abstract: In this paper, we present a novel method for constructing families of two-variable biorthogonal polynomials by utilizing known families of one-variable biorthogonal and orthogonal polynomials. Employing this approach, we define a new class of two-dimensional… read more here.

Keywords: operator; hermite konhauser; fractional calculus; konhauser polynomials ... See more keywords

Finite bivariate biorthogonal N – Konhauser polynomials

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Published in 2024 at "Journal of Difference Equations and Applications"

DOI: 10.1080/10236198.2025.2522094

Abstract: A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials $ N_{n}^{\left (p\right ) }\left (w\right ) $ Nn(p)(w) and Konhauser polynomials. We present a connection between this finite 2D… read more here.

Keywords: biorthogonal konhauser; bivariate biorthogonal; konhauser; konhauser polynomials ... See more keywords