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Transformation and summation formulas for basic hypergeometric series associated with the circumference ratio
- Publication Year :
- 2019
-
Abstract
- In terms of the difference operators, we establish several curious transformation and summation formulas for basic hypergeometric series. When the parameters are specified, they produce $q$-analogues of Ramanujan's three series for 1/$\pi$ and other eleven nice $\pi$-formulas. Meanwhile, $q$-analogues of three beautiful series for $\zeta(3)$ are also given in the same way.<br />Comment: Some formulas of the paper has been given in a published paper
- Subjects :
- Mathematics - Combinatorics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1904.01767
- Document Type :
- Working Paper