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Title: | On level two analogue of Arakawa-Kaneko zeta function and poly-cosecant numbers |
Authors: | Pallewatta, M. |
Keywords: | Arakawa-Kaneko zeta function Multiple zeta values Poly-Bernoulli numbers Poly-cosecant numbers |
Issue Date: | 2019 |
Publisher: | 4th International Research Symposium on Pure and Applied Sciences, Faculty of Science, University of Kelaniya, Sri Lanka |
Citation: | Pallewatta, M. (2019). On level two analogue of Arakawa-Kaneko zeta function and poly-cosecant numbers. 4th International Research Symposium on Pure and Applied Sciences, Faculty of Science, University of Kelaniya, Sri Lanka. p84 |
Abstract: | We study the level two generalization of Arakawa-Kaneko zeta function originally studied by T. Arakawa and M. Kaneko. We obtain certain new formulas for the level two analogue of Arakawa-Kaneko zeta function. Also, we study the level two generalization of poly-Bernoulli numbers, which is referred to as the poly-cosecant numbers. We obtain a recurrence and two explicit formulas for poly-cosecant numbers. Moreover, we extend those formulas for multiple versions in a similar manner. The latter part is a part of a joint work with M. Kaneko and H. Tsumura |
URI: | http://repository.kln.ac.lk/handle/123456789/20595 |
Appears in Collections: | IRSPAS 2019 |
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