150 citations · 305 across the 41 of their papers we have counts for
6 papers · 1 filter
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…
On spectral properties of a Sturm-Liouville problem with transmission conditions and eigenparameter dependent boundary conditions with retarded argument
Serkan Araci, Mehmet Acikgoz, Azad Bayramov +1
In this work, we consider not only a discontinuous boundary-value problem with retarded argument and four supplementary transmission conditions at the two points of discontinuities…
On the Identities Involving Special Polynomials Arising From Point of View of Fractional Calculus
Serkan Araci, Erdoğan Şen, Mehmet Acikgoz +1
In the present paper, we investigate some interesting properties including several special polynomials arising from Caputo-fractional derivative. From our investigation, we derive…
Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with p-Laplacian operator
Erdoğan Şen, Mehmet Acikgoz, Jong Jin Seo +2
In this article, we consider the boundary-value problem of nonlinear fractional differential equation with p-Laplacian operator. By the properties of Green function and Schauder fi…
Asymptotic expressions of eigenvalues and fundamental solutions of a discontinuous fourth-order boundary value problem
Erdoğan Şen, Serkan Araci, Mehmet Acikgoz
In the present paper, we deal with a fourth-order boundary value problem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point.…