TY - JOUR
T1 - On polycosecant numbers
AU - Kaneko, Masanobu
AU - Pallewatta, Maneka
AU - Tsumura, Hirofumi
N1 - Funding Information:
The authors wish to express their sincere gratitude to the referee for valuable suggestions and comments. This work was supported by Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (S) 16H06336 (M. Kaneko), and (C) 18K03218 (H. Tsumura).
Publisher Copyright:
© 2020, University of Waterloo. All rights reserved.
PY - 2020
Y1 - 2020
N2 - We introduce and study a “level two” generalization of the poly-Bernoulli numbers, which may also be regarded as a generalization of the cosecant numbers. We prove a recurrence relation, two exact formulas, and a duality relation for negative upper-index numbers.
AB - We introduce and study a “level two” generalization of the poly-Bernoulli numbers, which may also be regarded as a generalization of the cosecant numbers. We prove a recurrence relation, two exact formulas, and a duality relation for negative upper-index numbers.
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M3 - Article
AN - SCOPUS:85090689072
SN - 1530-7638
VL - 23
SP - 1
EP - 17
JO - Journal of Integer Sequences
JF - Journal of Integer Sequences
IS - 6
M1 - 20.6.4
ER -