Corpus ID: 119654203

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}
}
  • Marc Pr'evost
  • Published 15 September 2017
  • Mathematics
  • arXiv: Number Theory
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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The main object of the present sequel to these earlier works is to derive several general properties and relationships involving the apostol-Bernoulli and Apostol-Euler polynomials. Expand
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