The hypergeometric equation and Ramanujan functions

DOI10.1023/B:RAMA.0000012426.23921.24zbMath1072.11052OpenAlexW2041628190MaRDI QIDQ1430277

Wadim Zudilin

Publication date: 27 May 2004

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:rama.0000012426.23921.24

zbMATH Keywords

nonlinear differential equationshypergeometric functionshypergeometric equationRamanujan functionsModular functions

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Transcendence theory of other special functions (11J91) Classical hypergeometric functions, ({}_2F_1) (33C05) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Related Items (14)

Renormalization, isogenies, and rational symmetries of differential equations ⋮ Ramanujan-type systems of nonlinear ODEs for \(\Gamma_0 (2)\) and \(\Gamma_0 (3)\) ⋮ Nonlinear differential equations satisfied by certain classical modular forms ⋮ Quasi-modular forms attached to elliptic curves. I ⋮ Ramanujan systems of Rankin-Cohen type and hyperbolic triangles ⋮ Schwarzian conditions for linear differential operators with selected differential Galois groups ⋮ Differential nilradicals of rings associated with Riemann-Schwarz triangular groups ⋮ ANALYTIC PROPERTIES OF MIRROR MAPS ⋮ Algebraic independence for values of integral curves ⋮ Differential equations satisfied by Eisenstein series of level 2 ⋮ On the sum of positive divisors functions ⋮ Aspects of Hecke symmetry: anomalies, curves, and chazy equations ⋮ The finiteness of derivation-invariant prime ideals and the algebraic independence of the Eisenstein series ⋮ Modular forms, Schwarzian conditions, and symmetries of differential equations in physics

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