A new hybrid generalization of orthogonal polynomials

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Published: Jun 22, 2025
Keywords:
orthogonal polynomials complex numbers hybrid numbers hybrinomials

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Dorota Bród
Rzeszow University of Technology
Mirosław Liana
Rzeszow University of Technology
Anetta Szynal-Liana
Rzeszow University of Technology
https://orcid.org/0000-0001-5508-0640

Abstract

In this paper, we introduce and study hybrinomials defined by application of orthogonal polynomials. Using selected orthogonal polynomials and hybrid numbers operators, we define Hermite, Laguerre, Legendre and Chebyshev type hybrinomials and present some properties of them.

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Bród, D., Liana, M., & Szynal-Liana, A. (2025). A new hybrid generalization of orthogonal polynomials. Tamkang Journal of Mathematics. Retrieved from https://journals.math.tku.edu.tw/index.php/TKJM/article/view/5828
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