Treffer: Hypergeometric Euler numbers
Title:
Hypergeometric Euler numbers
Authors:
Source:
AIMS Mathematics, Vol 5, Iss 2, Pp 1284-1303 (2020)
Publication Status:
Preprint
Publisher Information:
American Institute of Mathematical Sciences (AIMS), 2020.
Publication Year:
2020
Subject Terms:
11B68, 11B37, 11C20, 15A15, 33C20, Generalized hypergeometric series, \({}_pF_q\), Mathematics - Number Theory, determinants, Matrices, determinants in number theory, 01 natural sciences, bernoulli numbers, Hasse-Teichmuller derivative, sums of products, hasse-teichm¨uller derivative, QA1-939, FOS: Mathematics, hypergeometric euler numbers, hypergeometric Euler numbers, Number Theory (math.NT), 0101 mathematics, Bernoulli and Euler numbers and polynomials, Euler numbers, euler numbers, Mathematics, Bernoulli numbers
Document Type:
Fachzeitschrift
Article<br />Other literature type
File Description:
application/xml
Language:
English
ISSN:
2473-6988
DOI:
10.3934/math.2020088
DOI:
10.48550/arxiv.1612.06210
Access URL:
http://arxiv.org/abs/1612.06210
https://zbmath.org/7515665
https://doi.org/10.3934/math.2020088
https://doaj.org/article/74560da02ef547bd91a0fdd328046100
https://www.aimspress.com/article/10.3934/math.2020088
https://www.arxiv-vanity.com/papers/1612.06210/
https://ui.adsabs.harvard.edu/abs/2016arXiv161206210K/abstract
https://arxiv.org/pdf/1612.06210
https://arxiv.org/abs/1612.06210
https://zbmath.org/7515665
https://doi.org/10.3934/math.2020088
https://doaj.org/article/74560da02ef547bd91a0fdd328046100
https://www.aimspress.com/article/10.3934/math.2020088
https://www.arxiv-vanity.com/papers/1612.06210/
https://ui.adsabs.harvard.edu/abs/2016arXiv161206210K/abstract
https://arxiv.org/pdf/1612.06210
https://arxiv.org/abs/1612.06210
Rights:
CC BY
arXiv Non-Exclusive Distribution
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....1f9085428f2a80bbc301bff988bb01c8
Database:
OpenAIRE
Weitere Informationen
In this paper, we introduce the hypergeometric Euler number as an analogue of the hypergeometric Bernoulli number and the hypergeometric Cauchy number. We study several expressions and sums of products of hypergeometric Euler numbers. We also introduce complementary hypergeometric Euler numbers and give some characteristic properties. There are strong reasons why these hypergeometric numbers are important. The hypergeometric numbers have one of the advantages that yield the natural extensions of determinant expressions of the numbers, though many kinds of generalizations of the Euler numbers have been considered by many authors.