ON POLY-EULER NUMBERS

被引：10
|
作者：
Ohno, Yasuo [1 ]
Sasaki, Yoshitaka [2 ]
机构：
[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan
[2] Osaka Univ Hlth & Sport Sci, Liberal Arts Educ Ctr, Asashirodai 1-1, Kumatori, Osaka 5900496, Japan
来源：
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 103卷 / 01期
关键词：
Euler number; poly-Euler number; poly-Bernoulli number; Clausen-von Staudt theorem; BERNOULLI NUMBERS;
D O I：
10.1017/S1446788716000495
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Poly-Euler numbers are introduced as a generalization of the Euler numbers in a manner similar to the introduction of the poly-Bernoulli numbers. In this paper, some number-theoretic properties of poly-Euler numbers, for example, explicit formulas, a Clausen-von Staudt type formula, congruence relations and duality formulas, are given together with their combinatorial properties.
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页码：126 / 144
页数：19
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