, Volume 14, Issue 3, pp 275-278

q-Extension of the Euler formula and trigonometric functions

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In this paper, we introduce a Daehee constant, the so-called q-extension of the Napier constant, and consider the Daehee formula associated with the q-extensions of trigonometric functions. That is, we derive the q-extensions of sine and cosine functions from our Daehee formula. Finally, we present the q-calculus related to the q-extensions of sine and cosine functions.

This work was partially supported by Jangjeon Mathematical Society (JMS2006-12-C0007).