An explicit formula for the generalized Bernoulli polynomials
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Abstract The object of the present note is to prove a new explicit formula for the generalized Bernoulli polynomials. The main result (3) below provides an interesting extension of a representation for the generalized Bernoulli numbers given recently by P. G. Todorov [C.R. Acad. Sci. Paris Ser. I Math.301 (1985), 665–666].
[1] H. M. Srivastava,et al. A Class of Addition Theorems† , 1983, Canadian Mathematical Bulletin.
[2] L. Comtet,et al. Advanced Combinatorics: The Art of Finite and Infinite Expansions , 1974 .
[3] W. N. Bailey,et al. Generalized hypergeometric series , 1935 .
[4] H. W. Gould,et al. Explicit Formulas for Bernoulli Numbers , 1972 .
[5] P. Appell,et al. Fonctions hypergéométriques et hypersphériques : polynomes d'Hermite , 1926 .