




Volume 36 • Number 2 • 2013 

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Some Results for the ApostolGenocchi Polynomials of Higher Order
Hassan Jolany, Hesam Sharifi and R. Eizadi Alikelaye
Abstract.
The present paper deals with multiplication formulas for the ApostolGenocchi 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 2variable ApostolGenocchi polynomials and then we consider the multiplication theorem for 2variable Genocchi polynomials. Also we introduce generalized ApostolGenocchi polynomials with $a,b,c$ parameters and we obtain several identities on generalized ApostolGenocchi polynomials with $a,b,c$ parameters.
2010 Mathematics Subject Classification: 11B68, 05A10, 05A15
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