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There is a page named "Hypergeometric differential equation" on Wikipedia
- of the hypergeometric function by means of the differential equation it satisfies. Riemann showed that the second-order differential equation for 2F1(z)...40 KB (7,168 words) - 13:44, 27 August 2024
- confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where...24 KB (4,566 words) - 19:59, 11 August 2024
- mathematics, Riemann's differential equation, named after Bernhard Riemann, is a generalization of the hypergeometric differential equation, allowing the regular...7 KB (1,174 words) - 20:56, 6 May 2024
- In mathematics, a linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives...30 KB (4,757 words) - 05:05, 8 August 2024
- the following we solve the second-order differential equation called the hypergeometric differential equation using Frobenius method, named after Ferdinand...48 KB (14,196 words) - 18:25, 7 March 2024
- an Euler–Cauchy equation, or Cauchy–Euler equation, or simply Euler's equation, is a linear homogeneous ordinary differential equation with variable coefficients...12 KB (2,535 words) - 07:35, 3 August 2024
- dynamical system and differential equation topics, by Wikipedia page. See also list of partial differential equation topics, list of equations. Deterministic...5 KB (413 words) - 14:04, 5 April 2022
- {dw}{dz}}-ab\,w=0.} It is known as the hypergeometric differential equation. When c is not a positive integer, the substitution w = z...37 KB (7,739 words) - 21:59, 11 July 2024
- rational functions of the variables (e.g. the hypergeometric equation). Algebraic differential equations are widely used in computer algebra and number...4 KB (429 words) - 23:07, 24 September 2021
- Jacobi polynomials (redirect from Jacobi differential equation)In mathematics, Jacobi polynomials (occasionally called hypergeometric polynomials) P n ( α , β ) ( x ) {\displaystyle P_{n}^{(\alpha ,\beta )}(x)} are...11 KB (2,457 words) - 08:03, 15 July 2024
- differential equations that have received specific names, area by area. Ablowitz-Kaup-Newell-Segur (AKNS) system Clairaut's equation Hypergeometric differential...13 KB (1,095 words) - 04:32, 24 August 2024
- mathematical physics the Knizhnik–Zamolodchikov equations, or KZ equations, are linear differential equations satisfied by the correlation functions (on the...17 KB (3,059 words) - 20:30, 17 December 2023
- occurs, for example, between the hypergeometric equation, with three regular singular points, and the Bessel equation which is in a sense a limiting case...10 KB (1,674 words) - 20:42, 16 December 2023
- }{4j^{2}(1-1728j)^{2}}}f=0.\,} This equation can be cast into the form of the hypergeometric differential equation. It has two linearly independent solutions...4 KB (629 words) - 20:19, 27 June 2023
- Romanovski polynomials (category Special hypergeometric functions)Romanovski polynomials solve the following version of the hypergeometric differential equation Curiously, they have been omitted from the standard textbooks...20 KB (2,000 words) - 05:03, 13 March 2023
- Field electron emission (redirect from Fowler–Nordheim equation)starting from known special-case solutions of the Gauss hypergeometric differential equation). Also, approximation (11) has been found only recently....125 KB (16,087 words) - 09:14, 8 February 2024
- List of things named after Leonhard Euler (redirect from Euler's equation)turbine equation Euler transform used to accelerate the convergence of an alternating series and is also frequently applied to the hypergeometric series...14 KB (1,603 words) - 04:43, 30 August 2024
- Heun function (redirect from Heun equation)singular points, such as the Lamé equation or the hypergeometric differential equation, can be transformed into this equation by a change of variable. Coalescence...6 KB (718 words) - 14:41, 15 September 2023
- arbitrary ordinary differential equations of even order. Weyl applied his theory to Carl Friedrich Gauss's hypergeometric differential equation, thus obtaining...63 KB (9,370 words) - 02:43, 14 December 2023
- The Schrödinger equation of this potential can be solved analytically, by transforming it into a hypergeometric differential equation. The radial part...4 KB (547 words) - 17:32, 21 September 2022
- Britannica, Volume 8 Differential Equation by Henry Frederick Baker 7945701911 Encyclopædia Britannica, Volume 8 — Differential EquationHenry Frederick Baker
- does not satisfy any differential equation. The functions which do arise as solutions of some of the classical differential equations, such as Bessel functions
- the following we solve the second-order differential equation called the hypergeometric differential equation using Frobenius method, named after Ferdinand