Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614547 | Journal of Mathematical Analysis and Applications | 2016 | 21 Pages |
Abstract
Using general identities for difference operators, as well as a technique of symbolic computation and tools from probability theory, we derive very general k th order (k≥2k≥2) convolution identities for Bernoulli and Euler polynomials. This is achieved by use of an elementary result on uniformly distributed random variables. These identities depend on k positive real parameters, and as special cases we obtain numerous known and new identities for these polynomials. In particular we show that the well-known identities of Miki and Matiyasevich for Bernoulli numbers are special cases of the same general formula.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Karl Dilcher, Christophe Vignat,