4 papers
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…
A new family of q-Bernstein polynomials: Probabilistic viewpoint
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming Y is a random variable satisfyin…
Certain results for unified Apostol type-truncated exponential-Gould-Hopper polynomials and their relatives
Serkan Araci, Mumtaz Riyasat, Tabinda Nahid +1
The present article aims to introduce a unified family of the Apostol type-truncated exponential-Gould-Hopper polynomials and to characterize its properties via generating function…
A note on the q-Dedekind-type Daehee-Changhee sums with weight alpha arising from modified q-Genocchi polynomials with weight alpha
Serkan Araci, Mehmet Acikgoz, Ayhan Esi
In the present paper, our objective is to treat a p-adic continuous function for an odd prime to inside a p-adic q-analogue of the higher order Dedekind-type sums with weight in co…