Pallewatta, M.2019-12-122019-12-122019Pallewatta, 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. p84http://repository.kln.ac.lk/handle/123456789/20595We 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. TsumuraenArakawa-Kaneko zeta functionMultiple zeta valuesPoly-Bernoulli numbersPoly-cosecant numbersArticle