Multiple Cotangent and Generalized Eta Functions |
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Authors: | Makoto Ishibashi |
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Institution: | (1) Department of General Education, Kagoshima National College of Technology, Shinko 1460-1, Hayato-cho, Aira-gun, Kagoshima, 899-5193, Japan |
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Abstract: | In this paper we shall construct multiple analogue of the cotangent functions by using the multiple Hurwitz zeta functions and study their properties and special values. In particular, we express the double cotangent functions in terms of generalized eta functions of Berndt and Lewittes. |
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Keywords: | multiple zeta functions generalized eta functions cotangent functions |
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