Proofs for certain q-trigonometric identities of Gosper

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（12）
• 所属期刊栏目: Articles
• 页码范围: 2415-2422
• 页数: 8页
• 语种: 英文

摘要

Applying an addition formula of Liu(2007),we deduce certain Jacobi theta function identities.From these results we confirm several q-trigonometric identities conjectured by Gosper(2001).Another conjectured identity on the constant Πq is also settled.