Convolution and Reciprocity Formulas for Bernoulli Polynomials
Copyright policy ) Takashi Agoh; Karl Dilcher;
Convolution and Reciprocity Formulas for Bernoulli Polynomials
AbstractWe prove a new convolution identity for sums of products of two Bernoulli polynomials. This can be rewritten to obtain a reciprocity relation for a related sum. The proof uses some results on Stirling numbers of both kinds which are of independent interest. In particular, a class of polynomials related to the Stirling numbers of the second kind turns out to be a useful tool.
- Tokyo University of Science Japan
- Dalhousie University Canada
convolutions, Bernoulli polynomials, Bell and Stirling numbers, Bernoulli and Euler numbers and polynomials, Bernoulli numbers, Stirling numbers, reciprocity relations
convolutions, Bernoulli polynomials, Bell and Stirling numbers, Bernoulli and Euler numbers and polynomials, Bernoulli numbers, Stirling numbers, reciprocity relations
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