hypergeometric equation
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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
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
hypergeometric series — noun Any power series such that the ratio of the (k+1) th and the k th terms is a rational function of the natural integer k. See Also: hypergeometric function, hypergeometric equation, confluent hypergeometric series, basic hypergeometric series … Wiktionary
hypergeometric function — noun Any function that is a solution of the hypergeometric equation; usually an expansion of an hypergeometric series … Wiktionary
hypergeometric function — Math. a function that is a solution to a hypergeometric equation. * * * … Universalium
hypergeometric function — function that is a solution to a hypergeometric equation (Mathematics) … English contemporary dictionary
hypergeometric function — Math. a function that is a solution to a hypergeometric equation … Useful english dictionary
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
