Generalizations of Bernoulli numbers and polynomials

Qiu-Ming Luo, Bai-Ni Guo, Feng Qi and Lokenath Debnath

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-8

Abstract:

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:629619

DOI: 10.1155/S0161171203112070

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