Generalizations of Bernoulli numbers and polynomials

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Generalizations of Bernoulli Numbers and Polynomials

The concepts of Bernoulli numbers B n , Bernoulli polynomials B n (x), and the generalized Bernoulli numbers B n (a, b) are generalized to the one B n (x; a, b, c) which is called the generalized Bernoulli polynomials depending on three positive real parameters. Numerous properties of these polynomials and some relationships between B n , B n (x), B n (a, b), and B n (x; a, b, c) are established.

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ژورنال

عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences

سال: 2003

ISSN: 0161-1712,1687-0425

DOI: 10.1155/s0161171203112070