20 citations · 51 across the 5 of their papers we have counts for
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Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers
Muhammet Cihat Dağlı
In this paper, applying the Faà di Bruno formula and some properties of Bell polynomials, several closed formulas and determinantal expressions involving Stirling numbers of the se…
On generalized Eisenstein series and Ramanujan's formula for periodic zeta-functions
M. Cihat Dağlıand Mümün Can
In this paper, transformation formulas for a large class of Eisenstein series defined by \[ G(z,s;A_α,B_β;r_{1},r_{2})=\sum\limits_{m,n=-\infty}^{\infty }\ \hspace{-0.19in}^{^{\pri…
Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series
M. Cihat Dağlı, Mümün Can
In this paper, a transformation formula under modular substitutions is derived for a large class of generalized Eisenstein series. Appearing in the transformation formulae are gene…
On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials
M. Cihat Dağlı, Mümün Can
We give a simple proof for the reciprocity formulas of character Dedekind sums associated with two primitive characters, whose modulus need not to be same, by utilizing the charact…
Extended Bernoulli and Stirling matrices and related combinatorial identities
Mümün Can, M. Cihat Dağlı
In this paper we establish plenty of number theoretic and combinatoric identities involving generalized Bernoulli and Stirling numbers of both kinds. These formulas are deduced fro…