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- Complex_differential_equation abstract "A complex differential equation is a differential equation whose solutions are functions of a complex variable.Constructing integrals involves choice of what path to take, which means singularities and branch points of the equation need to be studied. Analytic continuation is used to generate new solutions and this means topological considerations such as monodromy, coverings and connectedness are to be taken into account.Existence and uniqueness theorems involve the use of majorants and minorants.Study of rational second order ODEs in the complex plane led to the discovery of new transcendental special functions which are now known as Painlevé transcendents.Nevanlinna theory can be used to study complex differential equations. This leads to extensions of Malmquist's theorem.".
- Complex_differential_equation wikiPageID "17314510".
- Complex_differential_equation wikiPageLength "3997".
- Complex_differential_equation wikiPageOutDegree "47".
- Complex_differential_equation wikiPageRevisionID "637102800".
- Complex_differential_equation wikiPageWikiLink Analytic_continuation.
- Complex_differential_equation wikiPageWikiLink Axel_Johannes_Malmquist.
- Complex_differential_equation wikiPageWikiLink Branch_point.
- Complex_differential_equation wikiPageWikiLink Category:Complex_analysis.
- Complex_differential_equation wikiPageWikiLink Category:Differential_equations.
- Complex_differential_equation wikiPageWikiLink Charles_Auguste_Briot.
- Complex_differential_equation wikiPageWikiLink Complex_analysis.
- Complex_differential_equation wikiPageWikiLink Complex_manifold.
- Complex_differential_equation wikiPageWikiLink Connectedness.
- Complex_differential_equation wikiPageWikiLink Cover_(topology).
- Complex_differential_equation wikiPageWikiLink David_Hilbert.
- Complex_differential_equation wikiPageWikiLink Differential_equation.
- Complex_differential_equation wikiPageWikiLink Discrete_mathematics.
- Complex_differential_equation wikiPageWikiLink Frobenius_method.
- Complex_differential_equation wikiPageWikiLink George_David_Birkhoff.
- Complex_differential_equation wikiPageWikiLink Hans_Wittich.
- Complex_differential_equation wikiPageWikiLink Henri_Poincaré.
- Complex_differential_equation wikiPageWikiLink Heun_function.
- Complex_differential_equation wikiPageWikiLink Holomorphic_function.
- Complex_differential_equation wikiPageWikiLink Hypergeometric_function.
- Complex_differential_equation wikiPageWikiLink Integral.
- Complex_differential_equation wikiPageWikiLink Integral_equation.
- Complex_differential_equation wikiPageWikiLink Jean_Claude_Bouquet.
- Complex_differential_equation wikiPageWikiLink Knizhnik–Zamolodchikov_equations.
- Complex_differential_equation wikiPageWikiLink Kōsaku_Yosida.
- Complex_differential_equation wikiPageWikiLink Lazarus_Fuchs.
- Complex_differential_equation wikiPageWikiLink Majorant.
- Complex_differential_equation wikiPageWikiLink Malmquists_theorem.
- Complex_differential_equation wikiPageWikiLink Minorant.
- Complex_differential_equation wikiPageWikiLink Monodiffric_function.
- Complex_differential_equation wikiPageWikiLink Monodromy.
- Complex_differential_equation wikiPageWikiLink Nevanlinna_theory.
- Complex_differential_equation wikiPageWikiLink Ordinary_differential_equation.
- Complex_differential_equation wikiPageWikiLink Painlevé_transcendents.
- Complex_differential_equation wikiPageWikiLink Partial_differential_equation.
- Complex_differential_equation wikiPageWikiLink Paul_Painlevé.
- Complex_differential_equation wikiPageWikiLink Pierre_Boutroux.
- Complex_differential_equation wikiPageWikiLink Rational_function.
- Complex_differential_equation wikiPageWikiLink Recurrence_relation.
- Complex_differential_equation wikiPageWikiLink Regular_singular_point.
- Complex_differential_equation wikiPageWikiLink Riemanns_differential_equation.
- Complex_differential_equation wikiPageWikiLink Riemann–Hilbert_correspondence.
- Complex_differential_equation wikiPageWikiLink Riemann–Hilbert_problem.
- Complex_differential_equation wikiPageWikiLink Schwarzian_derivative.
- Complex_differential_equation wikiPageWikiLink Several_complex_variables.
- Complex_differential_equation wikiPageWikiLink Special_functions.
- Complex_differential_equation wikiPageWikiLink Transcendental_function.
- Complex_differential_equation wikiPageWikiLinkText "Complex differential equation".
- Complex_differential_equation wikiPageWikiLinkText "ODE on the extended complex plane".
- Complex_differential_equation wikiPageWikiLinkText "complex".
- Complex_differential_equation wikiPageWikiLinkText "differential equations in the complex plane".
- Complex_differential_equation wikiPageWikiLinkText "ordinary differential equation in the complex plane".
- Complex_differential_equation wikiPageWikiLinkText "ordinary differential equations in the complex plane".
- Complex_differential_equation wikiPageUsesTemplate Template:Cite_book.
- Complex_differential_equation wikiPageUsesTemplate Template:Reflist.
- Complex_differential_equation subject Category:Complex_analysis.
- Complex_differential_equation subject Category:Differential_equations.
- Complex_differential_equation hypernym Equation.
- Complex_differential_equation comment "A complex differential equation is a differential equation whose solutions are functions of a complex variable.Constructing integrals involves choice of what path to take, which means singularities and branch points of the equation need to be studied.".
- Complex_differential_equation label "Complex differential equation".
- Complex_differential_equation sameAs Q3589420.
- Complex_differential_equation sameAs Équation_différentielle_holomorphe.
- Complex_differential_equation sameAs m.043qlzm.
- Complex_differential_equation sameAs Q3589420.
- Complex_differential_equation wasDerivedFrom Complex_differential_equation?oldid=637102800.
- Complex_differential_equation isPrimaryTopicOf Complex_differential_equation.