Reciprocal Convolution Sums of Bernoulli and Euler Polynomials
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022), p. 29
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
By inroducing two weight factors, we examine convolution sums
about Bernoulli and Euler polynomials. Several reciprocal
formulae are established, including polynomial extensions
of Miki's well--known identity on Bernoulli numbers.
Classification :
11B68 05A10
Keywords: Bernoulli polynomial, Euler polynomial, Miki's identity, binomial convolution, harmonic number, reciprocal relation
Keywords: Bernoulli polynomial, Euler polynomial, Miki's identity, binomial convolution, harmonic number, reciprocal relation
Wenchang Chu. Reciprocal Convolution Sums of Bernoulli and Euler Polynomials. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 47 (2022), p. 29 . http://geodesic.mathdoc.fr/item/BASS_2022_47_a2/
@article{BASS_2022_47_a2,
author = {Wenchang Chu},
title = {Reciprocal {Convolution} {Sums} of {Bernoulli} and {Euler} {Polynomials}},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {29 },
year = {2022},
volume = {47},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2022_47_a2/}
}
TY - JOUR AU - Wenchang Chu TI - Reciprocal Convolution Sums of Bernoulli and Euler Polynomials JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2022 SP - 29 VL - 47 UR - http://geodesic.mathdoc.fr/item/BASS_2022_47_a2/ LA - en ID - BASS_2022_47_a2 ER -