Some families of differential equations for multivariate hybrid special polynomials associated with Frobenius-Genocchi polynomials
This article introduces a new class of multivariate Hermite-Frobenius-Genocchi polynomials and explores various characterizations of these polynomials. We examine their properties, including recurrence relations and shift operators. Using the factorization method, we derive differential, partial dif...
- Autores:
-
Ahmad Wani, Shahid
Patil, Shivtej
Ramírez, William
Hernández, Juan
- 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:11323/14117
- Acceso en línea:
- https://hdl.handle.net/11323/14117
https://repositorio.cuc.edu.co/
- Palabra clave:
- Differential equations
Multivariate Hermite-Frobenius-Genocchi polynomials
Recurrence relation
Shift operators
Volterra integral equation
- Rights
- openAccess
- License
- Atribución 4.0 Internacional (CC BY 4.0)
| Summary: | This article introduces a new class of multivariate Hermite-Frobenius-Genocchi polynomials and explores various characterizations of these polynomials. We examine their properties, including recurrence relations and shift operators. Using the factorization method, we derive differential, partial differential, and integrodifferential equations satisfied by these polynomials. Furthermore, we present the Volterra integral equation associated with these multivariate Hermite-Frobenius-Genocchi polynomials, which improves our understanding and application of the factorization method in fields such as physics and engineering. |
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