Some Results for the Apostol-Genocchi Polynomials of Higher Order
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2
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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.
Classification :
11B68, 05A10, 05A15
@article{BMMS_2013_36_2_a18,
author = {Hassan Jolany and Hesam Sharifi and R. Eizadi Alikelaye},
title = {Some {Results} for the {Apostol-Genocchi} {Polynomials} of {Higher} {Order}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a18/}
}
TY - JOUR AU - Hassan Jolany AU - Hesam Sharifi AU - R. Eizadi Alikelaye TI - Some Results for the Apostol-Genocchi Polynomials of Higher Order JO - Bulletin of the Malaysian Mathematical Society PY - 2013 VL - 36 IS - 2 UR - http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a18/ ID - BMMS_2013_36_2_a18 ER -
Hassan Jolany; Hesam Sharifi; R. Eizadi Alikelaye. Some Results for the Apostol-Genocchi Polynomials of Higher Order. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2013_36_2_a18/