9 citations · 9 across the 5 of their papers we have counts for
5 papers
A unification of Euler-Maclaurin and Euler-Boole summation formulas
Yuan He
In this paper, we establish a summation formula associated with the generalized Apostol-Bernoulli functions. This formula unifies the Euler-Maclaurin summation formula, the Euler-B…
On the special values of Berndt's generalized -function
Yuan He
In this paper, we study the generalized -function considered by Berndt (1975). We introduce the generalized Apostol-Bernoulli polynomials and the generalized Apostol-Bernoulli f…
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…
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
Armen Bagdasaryan, Serkan Araci, Mehmet Acikgoz +1
In the present paper, we obtain new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived using a Bernoulli polynomial basis.…
Identities involving q-Genocchi numbers and polynomials
Serkan Araci, Mehmet Acikgoz, Hassan Jolany +1
In this paper, we focus on the q-Genocchi numbers and polynomials. We shall introduce new identities of the q-Genocchi numbers and polynomials by using the fermionic p-adic integra…