Confirming a q-trigonometric conjecture of gosper

Mohamed El Bachraoui

doi:10.1090/proc/13830

Confirming a q-trigonometric conjecture of gosper

Mohamed El Bachraoui

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We shall confirm a conjecture of Gosper on the q-analogue of the function cos(2z) and we shall give a short proof for his other related identity on the q-analogue of sin(2z) which was recently proved by Mező.

Original language	English
Pages (from-to)	1619-1625
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	146
Issue number	4
DOIs	https://doi.org/10.1090/proc/13830
Publication status	Published - 2018

Keywords

Elliptic functions
Q-trigonometric functions
Theta function identities

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/proc/13830

Cite this

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title = "Confirming a q-trigonometric conjecture of gosper",

abstract = "We shall confirm a conjecture of Gosper on the q-analogue of the function cos(2z) and we shall give a short proof for his other related identity on the q-analogue of sin(2z) which was recently proved by Mez{\H o}.",

keywords = "Elliptic functions, Q-trigonometric functions, Theta function identities",

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AB - We shall confirm a conjecture of Gosper on the q-analogue of the function cos(2z) and we shall give a short proof for his other related identity on the q-analogue of sin(2z) which was recently proved by Mező.

KW - Elliptic functions

KW - Q-trigonometric functions

KW - Theta function identities

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U2 - 10.1090/proc/13830

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AN - SCOPUS:85041552571

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 4

ER -

Confirming a q-trigonometric conjecture of gosper

Abstract

Keywords

ASJC Scopus subject areas

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