Výsledky vyhledávání - "Dagli, M. Cihat"

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Character analogue of the Boole summation formula with applications

Publikováno v: Turk J Math, 41, (2017), 1204-1223

In this paper, we present the character analogue of the Boole summation formula. Using this formula, an integral representation is derived for the alternating Dirichlet $L-$function and its derivative is evaluated at $s=0$. Some applications of the c

Externí odkaz: http://arxiv.org/abs/1610.00965

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On the integral of products of higher-order Bernoulli and Euler polynomials

Autor: Dagli, M. Cihat, Can, Mümün

Publikováno v: Funct. Approx. Comment. Math. 57(1) (2017) 7-20

In this paper, we derive a formula on the integral of products of the higher-order Euler polynomials. By the same way, similar relations are obtained for $l$ higher-order Bernoulli polynomials and $r$ higher-order Euler polynomials. Moreover, we esta

Externí odkaz: http://arxiv.org/abs/1609.09336

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Periodic analogues of Dedekind sums and transformation formulas of Eisenstein series

Autor: Dağlı, M. Cihat, Can, Mümün

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 generalizations of Dedekind sums involving the periodic Bernoulli function

Externí odkaz: http://arxiv.org/abs/1506.01809

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On reciprocity formula of character Dedekind sums and the integral of products of Bernoulli polynomials

Autor: Dağlı, M. Cihat, Can, Mümün

Publikováno v: Journal of Number Theory 156 (2015) 105-124

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 character analogue of the Euler-MacLaurin summation formula. Moreover, we ext

Externí odkaz: http://arxiv.org/abs/1412.7363

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Extended Bernoulli and Stirling matrices and related combinatorial identities

Autor: Can, Mümün, Dağlı, M. Cihat

Publikováno v: Linear Algebra and its Applications 444 (2014) 114-131

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 from Pascal type matrix representations of Bernoulli and Stirling numbers

Externí odkaz: http://arxiv.org/abs/1306.5888

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