Mapping Properties of Associate Laguerre Polynomial in Symmetric Domains.

Autor: Al-Sa'di, Sa'ud, Siddiqa, Ayesha, Kanwal, Bushra, Alamri, Mohammed Ali, Hussain, Saqib, Noor, Saima
Zdroj: Symmetry (20738994); Nov2024, Vol. 16 Issue 11, p1545, 14p
Abstrakt: The significant characteristics of Associate Laguerre polynomials (ALPs) have noteworthy applications in the fields of complex analysis and mathematical physics. The present article mainly focuses on the inclusion relationships of ALPs and various analytic domains. Starting with the investigation of admissibility conditions of the analytic functions belonging to these domains, we obtained the conditions on the parameters of ALPs under which an ALP maps an open unit disc inside such analytical domains. The graphical demonstration enhances the outcomes and also proves the validity of our obtained results. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index