7,074 research outputs found
Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials
In this paper, we will deal with some new formulae for two product Genocchi
polynomials together with both Euler polynomials and Bernoulli polynomials. We
get some applications for Genocchi polynomials. Our applications possess a
number of interesting properties to study in Theory of Analytic numbers which
we express in the present paper.Comment: 10 pages, submitte
Some new identities on the Apostol-Bernoulli polynomials of higher order derived from Bernoulli basis
In the present paper, we obtain new interesting relations and identities of
the Apostol-Bernoulli polynomials of higher order, which are derived using a
Bernoulli polynomial basis. Finally, by utilizing our method, we also derive
formulas for the convolutions of Bernoulli and Euler polynomials, expressed via
Apostol-Bernoulli polynomials of higher order.Comment: 8 pages, submitte
On a class of -Bernoulli, -Euler and -Genocchi polynomials
The main purpose of this paper is to introduce and investigate a class of
-Bernoulli, -Euler and -Genocchi polynomials. The -analogues of
well-known formulas are derived. The -analogue of the Srivastava--Pint\'er
addition theorem is obtained. Some new identities involving -polynomials are
proved
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