DISCRETE RICCATI EQUATION, HYPERGEOMETRIC FUNCTIONS AND CIRCLE PATTERNS OF SCHRAMM TYPE

DOI10.1017/S0017089505002247zbMath1081.39010arXivmath/0211414MaRDI QIDQ5693139

Sergey I. Agafonov

Publication date: 28 September 2005

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0211414

zbMATH Keywords

hypergeometric functionseparatrix solutionsdiscrete Painlevé and Riccati equationsSquare grid circle patterns

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Classical hypergeometric functions, ({}_2F_1) (33C05) Circle packings and discrete conformal geometry (52C26)

Related Items (5)

Explicit Formula and Extension of the Discrete Power Function Associated with the Circle Patterns of Schramm Type ⋮ Rigidity of quasicrystallic and \(Z ^{\gamma }\)-circle patterns ⋮ Geometric description of a discrete power function associated with the sixth Painlevé equation ⋮ Discrete flat surfaces and linear Weingarten surfaces in hyperbolic 3-space ⋮ Discrete power functions on a hexagonal lattice I: derivation of defining equations from the symmetry of the Garnier system in two variables

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