Some Relationships between the Generalized Apostol- Bernoulli and Apostol-Euler Polynomials

نویسنده

  • Burak Kurt
چکیده

Bernoulli polynomials play an important role in various expansions and approximation formulas which are useful both in analytic theory of numbers and the classical and the numerical analysis. These polynomials can be defined by various methods depending on the applications. There are six approaches to the theory of Bernoulli polynomials. We prefer here the definition by generating functions given by Euler [4]. The classical Bernoulli polynomials and the classical Euler polynomials are defined respectively as

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تاریخ انتشار 2015