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Analogues of Newton-Girard power-sum formulas for entire and meromorphic functions with applications to the Riemann zeta function
(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 ...
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
(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, ...
