In mathematics, the Ince equation, named for Edward Lindsay Ince, is the differential equation w ′ ′ + ξ sin ⁡ ( 2 z ) w ′ + ( η − p ξ cos ⁡ ( 2 z ) )...

coefficients such as the Mathieu equation and the Lamé equation. He introduced the Ince equation, a generalization of the Mathieu equation. He was born in Amblecote...

coordinates, one can write the higher-order modes using Ince polynomials. The even and odd Ince-Gaussian modes are given by u ε ( ξ , η , z ) = w 0 w (...

good introductory reference on differential equations.) Ince, E. L. (1956), Ordinary differential equations, New York: Dover Publications, ISBN 0486603490...

(1955). Theory of Ordinary Differential Equations. McGraw-Hill. Ince, E. L. (1956). Ordinary Differential Equations. Dover. Johnson, W. (1913). A Treatise...

the original Latin into English by Ian Bruce. Ince, E. L. (1956) [1926], Ordinary Differential Equations, New York: Dover Publications, pp. 23–25 Conte...

{\frac {dx}{\sqrt {a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}}}}=c} Ince, E. L. "L. 1944 Ordinary Differential Equations." 227. v t e...

In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other...

Volume II, Part II: Differential Equations pp. 128−ff. (Ginn & co., Boston, 1917) E. L. Ince, Ordinary Differential Equations, Dover Publications (1944) Il'yashenko...

fifty canonical forms (listed in (Ince 1956)). Painlevé (1900, 1902) found that forty-four of the fifty equations are reducible in the sense that they...