Browsing by Author "He, Yuan"
Now showing items 1-6 of 6
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Higher-Order Convolutions for Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi Polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M.; Abdel-Aty, Mahmoud (MDPI, 2018-12)In this paper, we present a systematic and unified investigation for the Apostol-Bernoulli polynomials, the Apostol-Euler polynomials and the Apostol-Genocchi polynomials. By applying the generating-function methods and ... -
Some new formulas for the products of the Apostol type polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M. (SPRINGEROPEN, 2016-11-10)In the year 2014, Kim et al. computed a kind of new sums of the products of an arbitrary number of the classical Bernoulli and Euler polynomials by using the Euler basis for the vector space of polynomials of bounded degree. ... -
Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M.; Acikgoz, Mehmet (ELSEVIER SCIENCE INC, 2015-07-01)In this paper, we present a further investigation for the Apostol-Bernoulh polynomials and the Apostol-Genocchi polynomials. By making use of the generating function methods and summation transform techniques, we establish ... -
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, ... -
Summation formulas for the products of the Frobenius-Euler polynomials
Araci, Serkan; He, Yuan; Srivastava, H. M. (SPRINGER, 2017-10)We present here a further investigation for the classical Frobenius-Euler polynomials. By making use of the generating function methods and summation transform techniques, we establish some summation formulas for the ... -
Sums of products of Apostol-Bernoulli and Apostol-Euler polynomials
Araci, Serkan; He, Yuan (SPRINGEROPEN, 2014-05-27)In this paper, a further investigation for the Apostol-Bernoulli and Apostol-Euler polynomials and numbers is performed. Some closed formulae of sums of products of any number of Apostol-Bernoulli and Apostol-Euler polynomials ...
