arXiv:1104.1501 [math.NT]AbstractReferencesReviewsResources
Some Results for the Apostol-Genocchi Polynomials of Higher Order
Published 2011-04-08Version 1
The present paper deals with multiplication formulas for the Apostol-Genocchi polynomials of higher order and deduces some explicit recursive formulas. Some earlier results of Carlitz and Howard in terms of Genocchi numbers can be deduced. We introduce the 2-variable Apostol-Genocchi polynomials and then we consider the multiplication theorem for 2-variable Genocchi polynomials. Also we introduce generalized Apostol-Genocchi polynomials with a; b; c parameters and we obtain several identities on generalized Apostol-Genocchi polynomials with a; b; c parameters
Comments: 18 pages
Journal: Bulletin of Malaysian Mathematical Sciences Society, 2013, vol. 36, no. 2
Categories: math.NT
Keywords: higher order, generalized apostol-genocchi polynomials, explicit recursive formulas, multiplication formulas, parameters
Tags: journal article
Related articles: Most relevant | Search more
arXiv:1001.1573 [math.NT] (Published 2010-01-11)
Euler number and polynomials of higher order
arXiv:1205.2854 [math.NT] (Published 2012-05-13)
A new family of q-analogue of Genocchi numbers and polynomials of higher order
Explicit formula for generalization of Poly-Bernoulli numbers and polynomials with a,b,c parameters