Browsing by Author "Bagdasaryan, Armen"
Now showing items 1-4 of 4
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Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function
Araci, Serkan; Bagdasaryan, Armen; Acikgoz, Mehmet; Srivastava, H. M. (ACADEMIC PRESS INC ELSEVIER SCIENCE, 2015-02)The Newton power-sum formulas relate to sums of powers of roots of a polynomial with the coefficients of the polynomial. In this paper we obtain formulas that relate to sums of reciprocal powers of zeros and poles of entire ... -
The modified q-Genocchi numbers and polynomials with applications to q-zeta functions
Bagdasaryan, Armen; Araci, Serkan; Ağyüz, Erkan; Acikgoz, Mehmet (Springer Science and Business Media Deutschland GmbH, 2025)In this paper, we introduce the modified q-Genocchi polynomials, investigate their properties, and give their generating function. We obtain a number of new relations and properties for q-Genocchi polynomials, such as ... -
New Symmetric Identities Involving q-Zeta Type Functions
Araci, Serkan; Bagdasaryan, Armen; Ozel, Cenap; Srivastava, H. M. (NATURAL SCIENCES PUBLISHING CORP-NSP, 2014-11)The main object of this paper is to obtain several symmetric properties of the q-zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials. ... -
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
Araci, Serkan; Bagdasaryan, Armen; Acikgoz, Mehmet; He, Yuan (INT SCIENTIFIC RESEARCH PUBLICATIONS, 2016)In the present paper, we introduce a method in order to obtain some new interesting relations and identities of the Apostol-Bernoulli polynomials of higher order, which are derived from Bernoulli polynomial basis. Finally, ...
