On Arakawa{Kaneko zeta-functions associated with GL 2 ( C ) and their functional relations
On Arakawa{Kaneko zeta-functions associated with GL 2 ( C ) and their functional relations
复制标题
荒川{金子 zeta 函数与 GL 2 ( C ) 相关及其函数关系
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Hirofumi
中科院分区：
文献类型：
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作者：
Yasushi;Hirofumi
． 构造了一类与gl2 (C)相关的Arakawa - Kaneko zeta-函数，它包含了普通的Arakawa - Kaneko zeta-函数。我们还定义了与gl2 (C)相关的多伯努利多项式，它们出现在这些ζ函数的特殊值中。我们证明了这些ζ函数的一些函数关系，并将其作为多伯努利数之间各种关系的插值公式。考虑到它们的特殊值，我们证明了与gl2 (C)相关的多伯努利多项式的差分关系和对偶关系。
. We construct a certain class of Arakawa–Kaneko zeta- functions associated with GL 2 ( C ), which includes the ordinary Arakawa– Kaneko zeta-function. We also define poly-Bernoulli polynomials associated with GL 2 ( C ) which appear in their special values of these zeta-functions. We prove some functional relations for these zeta-functions, which are regarded as interpolation formulas of various relations among poly-Bernoulli numbers. Considering their special values, we prove difference relations and duality re- lations for poly-Bernoulli polynomials associated with GL 2 ( C ).
2 级聚伯努利数及相关 zeta 函数
DOI：
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发表时间：
2018
期刊：
影响因子：
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作者：
Y. Komori;K. Matsumoto and H. Tsumura;M. Kaneko and H. Tsumura;Hirofumi Tsumura;Hirofumi Tsumura;Hirofumi Tsumura;H. Tsumura
通讯作者：
H. Tsumura
聚伯努利数、多个 zeta 值和相关 zeta 函数
DOI：
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发表时间：
2015
期刊：
影响因子：
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作者：
Masanobu Kaneko;Y. Arike;K. Nagatomo;Y. Sakai;Masanobu Kaneko;Masanobu Kaneko;Masanobu Kaneko;Masanobu Kaneko;Masanobu Kaneko;Masanobu Kaneko;Masanobu Kaneko;金子昌信;金子昌信;金子昌信;Masanobu Kaneko;Masanobu Kaneko;Masanobu Kaneko;Masanobu Kaneko
通讯作者：
Masanobu Kaneko