- hypergeometric differential equation
- <math> ■ hypergeometrische Differentialgleichung f
English-german technical dictionary. 2013.
hypergeometric differential equation
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Hypergeometric differential equation — In mathematics, the hypergeometric differential equation is a second order linear ordinary differential equation (ODE) whose solutions are given by the classical hypergeometric series. Every second order linear ODE with three regular singular… … Wikipedia
Complex differential equation — 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… … Wikipedia
Riemann's differential equation — In mathematics, Riemann s differential equation is a generalization of the hypergeometric differential equation, allowing the regular singular points to occur anywhere on the Riemann sphere, rather than merely at 0,1, and infin;.DefinitionThe… … Wikipedia
Algebraic differential equation — Note: Differential algebraic equation is something different. In mathematics, an algebraic differential equation is a differential equation that can be expressed by means of differential algebra. There are several such notions, according to the… … Wikipedia
Hypergeometric — can refer to various related mathematical topics:*Hypergeometric series, p F q , a power series **Confluent hypergeometric function, 1 F 1, also known as the Kummer function **Euler hypergeometric integral, an integral representation of 2 F 1… … Wikipedia
Hypergeometric series — In mathematics, a hypergeometric series is a power series in which the ratios of successive coefficients k is a rational function of k . The series, if convergent, will define a hypergeometric function which may then be defined over a wider… … Wikipedia
hypergeometric equation — Math. a differential equation of the form, (x2 x) d2y/dx2 + [(a+b+1)x c] dy/dx + aby=0, where a, b, and c are arbitrary constants. * * * … Universalium
hypergeometric equation — Math. a differential equation of the form, (x2 x) d2y/dx2 + [(a+b+1)x c] dy/dx + aby=0, where a, b, and c are arbitrary constants … Useful english dictionary
Frobenius solution to the hypergeometric equation — In the following we solve the second order differential equation called the hypergeometric differential equation using Frobenius method, named after Ferdinand Georg Frobenius. This is a method that uses the series solution for a differential… … Wikipedia
Confluent hypergeometric function — In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular… … Wikipedia
Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… … Wikipedia
