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arXiv:1104.1501 [math.NT]AbstractReferencesReviewsResources

Some Results for the Apostol-Genocchi Polynomials of Higher Order

Hassan Jolany, Hesam Sharifi

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
Subjects: 11B68, 05A10, 05A15, F.2.2, I.2.7
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