Investigating 2-iterated degenerate 2D Appell polynomials and their diverse applications

This research delves into the realm of special polynomials, emphasizing the integration of the monomiality principle alongside operational rules and related properties. Through a comprehensive investigation, a novel category of polynomials termed the 2-iterated degenerate 2D Appell polynomials is introduced, leveraging the monomiality principle. The study uncovers fresh insights that align with previous research endeavors and presents explicit formulas and crucial properties of these polynomials. Furthermore, connections are established between the 2-iterated degenerate 2D Appell polynomials and other polynomial families such as the Bernoulli, Euler, and Genocchi polynomials. Leveraging these interconnections, additional results are derived. By recognizing the aforementioned polynomials as initial members of the Appell family and employing the principle of monomiality, this investigation significantly contributes to the expansion of knowledge in the domain of special polynomials.

• Autores: Wani, Shahid Ahmad; Lande, Chhaya; Fuentes Gandara, Fabio Armando; Khan, Waseem Ahmad
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2025
• Institución: Corporación Universidad de la Costa
• Repositorio: REDICUC - Repositorio CUC
• Idioma: eng
• OAI Identifier: oai:repositorio.cuc.edu.co:11323/14110
• Acceso en línea: https://hdl.handle.net/11323/14110; https://repositorio.cuc.edu.co/
• Palabra clave: Determinant form; Explicit forms; Monomiality principle; Two-iterated degenerate 2D Appell polynomials
• Rights: openAccess
• License: Atribución-NoComercial-SinDerivadas 4.0 Internacional (CC BY-NC-ND 4.0)