# Recurrence relations for Apostol-Bernoulli , -Euler and -Genocchi polynomials of higher order

@article{Prevost2017RecurrenceRF, title={Recurrence relations for Apostol-Bernoulli , -Euler and -Genocchi polynomials of higher order}, author={Marc Pr'evost}, journal={arXiv: Number Theory}, year={2017} }

In \cite{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 \cite{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… Expand

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