Removing false singular points as a method of solving ordinary differential equations

DOI10.1017/S0956792502004916zbMath1022.34078MaRDI QIDQ4796924

Richard V. Craster, Andrey Shanin

Publication date: 5 November 2003

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Fuchsian systemHeun's equationisomonodromyfalse singular points

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

Related Items (13)

Isomonodromy, Painlevé transcendents and scattering off of black holes ⋮ Integral symmetry for the confluent Heun equation with an added apparent singularity ⋮ Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ Euler integral symmetry and the deformed hypergeometric equation ⋮ On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Symmetries and apparent singularities for the simplest Fuchsian equations ⋮ Resolving singularities and monodromy reduction of Fuchsian connections ⋮ Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients ⋮ Representations and use of symbolic computations in the theory of Heun equations ⋮ Möbius transform for linear ordinary differential equations ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS

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