Some<i>q</i>-supercongruences for truncated forms of squares of basic hypergeometric series
Long Li
Abstract
Guo and Zudilin devised a method called ‘creative microscoping’ to establish many q-supercongruences for truncated basic hypergeometric series. Recently, El Bachraoui utilized the method of creative microscoping to derive some supercongruences for truncated squares of basic hypergeometric series. In this paper, motivated by their work, we give three more such q-supercongruences.
Topics & Concepts
MathematicsBasic hypergeometric seriesHypergeometric functionHypergeometric identitySeries (stratigraphy)Hypergeometric distributionBilateral hypergeometric seriesGeneralized hypergeometric functionHypergeometric function of a matrix argumentPure mathematicsAlgebra over a fieldPaleontologyBiologyAdvanced Mathematical IdentitiesAnalytic Number Theory ResearchMathematical functions and polynomials