q-Analogues of two Ramanujan-type formulas for 1/π

By Victor J. W. Guo, Ji-Cai Liu. Journal of difference equations and applications (Print), 2018

83 citations recorded by the source corpus.

ABSTRACT We give q-analogues of the following two Ramanujan-type formulas for : Our proof is based on two q-WZ pairs found by the first author in his earlier work.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/e37d44f9025f3b612678eb9296cd33bfff1aafe5

How researchers see this paper

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In Algebra and Number Theory

1. Victor J. W. Guo
2. Wadim Zudilin
3. Ji-Cai Liu
4. Su-Dan Wang
5. Holly Swisher
6. Zhi-Wei Sun
7. Armin Straub
8. Michael J. Schlosser

In Discrete Mathematics and Combinatorics

1. Victor J. W. Guo
2. Wadim Zudilin
3. Ji-Cai Liu
4. Holly Swisher
5. Zhi-Wei Sun
6. Su-Dan Wang
7. Michael J. Schlosser
8. Jesús Guillera

Citations in the corpus

• A q-microscope for supercongruences (2018, background): “These strategies have finally led [14,19] to q-analogues of Ramanujan-type formulae for 1/π including ∞ ∑”