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Russian Journal of Mathematical Physics

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

q-Extension of the Euler formula and trigonometric functions

Article

Abstract

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.

Keywords

Sine Trigonometric Function Cosine Function Euler Number Euler Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.EECSKyungpook National UniversityTaeguSouth Korea

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