Title of article :
Some Results for the Apostol-Genocchi Polynomials of Higher Order
Author/Authors :
JOLANY, HASSAN School of Mathematics - Statistics and Computer Science - University of Tehran, Iran , SHARIFI, HESAM Department of Mathematics - Faculty of Science - University of Shahed, Tehran, Iran , ALIKELAYE, R. EIZADI Faculty of Management and Accounting - Qazvin Islamic Azad University, Qazvin, Iran
Abstract :
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 .
Keywords :
Apostol , Genocchi numbers and polynomials (of higher order) , generalization of Genocchi numbers and polynomials , Raabe’s multiplication formula , multiplication formula , Bernoulli numbers and polynomials , Euler numbers and polynomials , Stirling numbers.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
