27 citations · 55 across the 13 of their papers we have counts for
14 papers
The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials
Serkan Araci, Mehmet Acikgoz, Armen Bagdasaryan +1
In the present paper, we deal mainly with arithmetic properties of Legendre polynomials by using their orthogonality property. We show that Legendre polynomials are proportional wi…
Identities involving the -Genocchi polynomials and -Zeta-type function
Armen Bagdasaryan, Erdogan Sen, Yuan He +2
The fundamental objective of this paper is to obtain some interesting properties for -Genocchi numbers and polynomials by using the fermionic -adic -integra…
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…
p-adic interpolation function related to multiple generalized Genocchi numbers
Serkan Araci, Mehmet Acikgoz, Erdoğan Şen
In the present paper, we deal with multiple generalized Genocchi numbers and polynomials. Also, we introduce analytic interpolating function for the multiple generalized Genocchi n…