A FURTHER GENERALIZATION OF APOSTOL-BERNOULLI POLYNOMIALS AND RELATED POLYNOMIALS

R. Tremblay, S. Gaboury, J. Fugere
2012 Honam Mathematical Journal  
The purpose of this paper is to introduce and investigate two new classes of generalized Bernoulli and Apostol-Bernoulli polynomials based on the definition given recently by the authors [29] . In particular, we obtain a new addition formula for the new class of the generalized Bernoulli polynomials. We also give an extension and some analogues of the Srivastava-Pintér addition theorem [28] for both classes. Finally, by making use of the new addition formula, we exhibit several interesting
more » ... al interesting relationships between generalized Bernoulli polynomials and other polynomials or special functions.
doi:10.5831/hmj.2012.34.3.311 fatcat:6kplkbhhnjhjveea2g3r4n6b6m