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Journal of Difference Equations and Applications Volume 24, 2018 - Issue 12
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Articles

WZ pairs and q-analogues of Ramanujan series for 1/π

Jesús GuilleraDepartment of Mathematics, University of Zaragoza, Zaragoza, SpainCorrespondence[email protected]
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Pages 1871-1879 | Received 14 Apr 2018, Accepted 09 Nov 2018, Published online: 27 Nov 2018

Citations (14)

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Read on this site (2)

John M. Campbell & Paul Levrie. (2023) Further WZ-based methods for proving and generalizing Ramanujan's series. Journal of Difference Equations and Applications 29:3, pages 366-376.
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Victor J. W. Guo & Michael J. Schlosser. (2019) Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. Journal of Difference Equations and Applications 25:7, pages 921-929.
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Articles from other publishers (12)

Victor J. W. Guo. (2021) A new extension of the (H.2) supercongruence of Van Hamme for primes $$p\equiv 3\pmod {4}$$. The Ramanujan Journal 57:4, pages 1387-1398.
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Su-Dan Wang. (2022) The $ q $-WZ pairs and divisibility properties of certain polynomials. AIMS Mathematics 7:3, pages 4115-4124.
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Xiaojing Chen & Wenchang Chu. (2020) Hidden q-analogues of Ramanujan-like $$\pi $$-series. The Ramanujan Journal 54:3, pages 625-648.
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Victor J. W. Guo & Michael J. Schlosser. (2020) Some q-Supercongruences from Transformation Formulas for Basic Hypergeometric Series. Constructive Approximation 53:1, pages 155-200.
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Long Li. (2021) Double series expansions for $ \pi $. AIMS Mathematics 6:5, pages 5000-5007.
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Jesús Guillera. (2020) Bilateral Ramanujan-like series for 1/πk and their congruences. International Journal of Number Theory 16:09, pages 1969-1988.
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Long Li & Su-Dan Wang. (2020) Proof of a q-supercongruence conjectured by Guo and Schlosser. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:4.
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Victor J. W. Guo. (2020) Proof of Some q-Supercongruences Modulo the Fourth Power of a Cyclotomic Polynomial. Results in Mathematics 75:3.
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Victor J.W. Guo. (2020) Proof of a generalization of the (B.2) supercongruence of Van Hamme through a q-microscope. Advances in Applied Mathematics 116, pages 102016.
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Victor J. W. Guo. (2019) q-Analogues of three Ramanujan-type formulas for $$1/\pi $$1/π. The Ramanujan Journal 52:1, pages 123-132.
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Victor J. W. Guo. (2019) Common q-Analogues of Some Different Supercongruences. Results in Mathematics 74:4.
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Victor Guo & Michael Schlosser. (2019) Some New q-Congruences for Truncated Basic Hypergeometric Series. Symmetry 11:2, pages 268.
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