Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
q-Analogues of two Ramanujan-type formulas for 1/π - MaRDI portal

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

From MaRDI portal
Publication:4685503

DOI10.1080/10236198.2018.1485669zbMath1444.11036arXiv1802.01944OpenAlexW2792269408MaRDI QIDQ4685503

Victor J. W. Guo, Ji-Cai Liu

Publication date: 9 October 2018

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01944




Related Items (52)

A new extension of the (A.2) supercongruence of Van HammeShock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher's contributionsTwo \(q\)-congruences from Carlitz's formulaq-Analogues of some supercongruences related to Euler numbersHidden \(q\)-analogues of Ramanujan-like \(\pi\)-seriesDouble series expansions for \(\pi\)A \(q\)-Dwork-type generalization of Rodriguez-Villegas' supercongruencesOn a generalization of a congruence related to \(q\)-Narayana numbersA \(q\)-analogue of the (L.2) supercongruence of van HammeA variation of the \(q\)-Wolstenholme theoremSome q-supercongruences related to Swisher’s (H.3) conjecture\(q\)-analogues of some series for powers of \(\pi\)Further \(q\)-supercongruences from a transformation of RahmanProof of some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomialSome generalizations of a congruence by Sun and TaurasoSome \(q\)-supercongruences from the Bailey transformationProofs of Guo and Schlosser's two conjecturesFurther generalizations of four supercongruences of Rodriguez-VillegasOn the divisibility of \(q\)-trinomial coefficientsOn two double series for \(\pi\) and their \(q\)-analoguesSome \(q\)-supercongruences from Gasper's Karlsson-Minton type summationOn two congruences involving Franel numbers$q$-analogues of two supercongruences of Z.-W. SunUnnamed ItemOn $q$-analogues of some series for $\pi $ and $\pi ^2$How to Generate All Possible Rational Wilf-Zeilberger Pairs?A \(q\)-microscope for supercongruencesDivisibility of some binomial sums\(q\)-analogues of three Ramanujan-type formulas for \(1/\pi\)WZ pairs and q-analogues of Ramanujan series for 1/πSupercongruences arising from transformations of hypergeometric seriesProof of a supercongruence conjectured by Sun through a \(q\)-microscopeTwo $q$-analogues of Euler’s formula $\zeta (2)=\pi ^2/6$$q$-analogues of several $\pi $-formulasSome congruences related to a congruence of Van HammeOn two supercongruences for sums of Apéry-like numbersCongruences on sums of \(q\)-binomial coefficientsProof of a generalization of the (B.2) supercongruence of Van Hamme through a \(q\)-microscopeSome new \(q\)-congruences for truncated basic hypergeometric series: even powersOn two supercongruences of double binomial sumsFactors of certain sums involving central \(q\)-binomial coefficients\(q\)-analogues of Dwork-type supercongruencesSome supercongruences arising from symbolic summationSome \(q\)-supercongruences from a quadratic transformation by RahmanSome q-supercongruences for truncated forms of squares of basic hypergeometric seriesSome q-congruences on double basic hypergeometric sumsProof of Sun's conjectural supercongruence involving Catalan numbersA family of \(q\)-congruences modulo the square of a cyclotomic polynomialOn a congruence involving \(q\)-Catalan numbers\(q\)-rational reduction and \(q\)-analogues of series for \(\pi\)Ramanujan-type supercongruences involving Almkvist-Zudilin numbersOn the divisibility of sums of even powers of \(q\)-binomial coefficients



Cites Work


This page was built for publication: q-Analogues of two Ramanujan-type formulas for 1/π