5 papers
Higher-order Hermite numbers: Properties and applications to evolution problems
Giuseppe Dattoli, Subuhi Khan, Ujair Ahmad
The operational calculus associated with Hermite numbers has been shown to be an effective tool for simplifying the study of special functions. Within this context, Hermite polynom…
A novel advancement in the study of Appell polynomials via Padè rational approximants
Giuseppe Dattoli, Subuhi Khan, Ujair Ahmad
The use of approximants of Padè type are employed to develop a method aimed at opening new perspectives in the theory of Appell polynomials , specified by the generating f…
Operational-umbral approach to bivariate degenerate Hermite polynomials and their partial orthogonality
Nusrat Raza, Ujair Ahmad, Subuhi Khan
The operational calculus associated with special polynomials has proven to be a powerful tool for analyzing and simplifying their properties. This article examines the bivariate de…
Gauss-Appell polynomials: An umbral calculus approach
Subuhi Khan, Ujair Ahmad, Mehnaz Haneef +1
This article aims to reinforce the broad applicability of the umbral approach to address complex mathematical challenges and contribute to various scientific and engineering endeav…
Umbral insights into a hybrid family of hypergeometric and Mittag-Leffler functions
Subuhi Khan, Ujair Ahmad, Mehnaz Haneef
The umbral approach provides methods for comprehending and redefining special functions. This approach is employed efficiently in order to uncover intricacies and introduce new fam…