Abstract
In this chapter, we investigate the Kummer confluent hypergeometric series of first type and the Kummer confluent hypergeometric series of second type. Then we propose the hypergeometric supertrigonometric and superhyperbolic functions via the Kummer confluent hypergeometric series. Finally, we present the analytic number theory for the hypergeometric supertrigonometric and superhyperbolic functions via Kummer confluent hypergeometric series.
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