Russian Journal of Mathematical Physics

, Volume 14, Issue 3, pp 275–278 | Cite as

q-Extension of the Euler formula and trigonometric functions



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.


Sine Trigonometric Function Cosine Function Euler Number Euler Formula 
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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.EECSKyungpook National UniversityTaeguSouth Korea

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