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On the Expansion of Legendre Polynomials in Bicomplex Space and Coupling with Fractional Operators

In this paper, we introduce a novel version of the Legendre polynomials in the bicomplex system. We investigate the essential properties of the Legendre polynomial, focusing on its bicomplex structure, generating functions, orthogonality, and recurrence relations. We present a solution to the Legend...

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Autors principals: Ahmed Bakhet, Shahid Hussain, Mohra Zayed, Aya M. Mourad
Format: Artigo
Idioma:Inglês
Publicat: MDPI AG 2026-01-01
Col·lecció:Axioms
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Accés en línia:https://www.mdpi.com/2075-1680/15/1/61
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