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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 wikiPageRevisionID "545323536".
- Complex_differential_equation hasPhotoCollection Complex_differential_equation.
- Complex_differential_equation subject Category:Complex_analysis.
- Complex_differential_equation subject Category:Differential_equations.
- Complex_differential_equation type Abstraction100002137.
- Complex_differential_equation type Communication100033020.
- Complex_differential_equation type DifferentialEquation106670521.
- Complex_differential_equation type DifferentialEquations.
- Complex_differential_equation type Equation106669864.
- Complex_differential_equation type MathematicalStatement106732169.
- Complex_differential_equation type Message106598915.
- Complex_differential_equation type Statement106722453.
- 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 label "Équation différentielle holomorphe".
- Complex_differential_equation sameAs Équation_différentielle_holomorphe.
- Complex_differential_equation sameAs m.043qlzm.
- Complex_differential_equation sameAs Q3589420.
- Complex_differential_equation sameAs Q3589420.
- Complex_differential_equation sameAs Complex_differential_equation.
- Complex_differential_equation wasDerivedFrom Complex_differential_equation?oldid=545323536.
- Complex_differential_equation isPrimaryTopicOf Complex_differential_equation.