Recurrence relations for Apostol-Bernoulli , -Euler and -Genocchi polynomials of higher order
Abstract
In luo2006,luosri2005, Luo and Srivastava introduced some generalizations of the Apostol -Bernoulli polynomials and the Apostol-Euler polynomials. The main object of this paper is to extend the result of prevost2010 to these generalized polynomials. More precisely, using the Pad\'e approximation of the exponential function, we obtain recurrence relations for Apostol-Bernoulli, Euler and also Genocchi polynomials of higher order. As an application we prove lacunary relation for some particular cases.
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