Confirming a $q$-trigonometric conjecture of Gosper
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- by Mohamed El Bachraoui PDF
- Proc. Amer. Math. Soc. 146 (2018), 1619-1625 Request permission
Abstract:
We shall confirm a conjecture of Gosper on the $q$-analogue of the function $\mathrm {cos}(2z)$ and we shall give a short proof for his other related identity on the $q$-analogue of $\mathrm {sin}(2z)$ which was recently proved by Mező.References
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Additional Information
- Mohamed El Bachraoui
- Affiliation: Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al-Ain, United Arab Emirates
- MR Author ID: 708599
- Email: melbachraoui@uaeu.ac.ae
- Received by editor(s): February 2, 2017
- Received by editor(s) in revised form: May 18, 2017
- Published electronically: November 7, 2017
- Communicated by: Mourad Ismail
- © Copyright 2017 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 1619-1625
- MSC (2010): Primary 33E05, 11F11, 11F12
- DOI: https://doi.org/10.1090/proc/13830
- MathSciNet review: 3754346