- Lommel function
- функция Ломмеля
Авиасловарь. М.А.Левин. 2004.
Lommel function
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Lommel function — The Lommel differential equation is an inhomogeneous form of the Bessel differential equation:z^2 frac{d^2y}{dz^2} + z frac{dy}{dz} + (z^2 u^2)y = z^{mu+1}.Two solutions are given by the Lommel functions s mu;, nu;( z ) and S mu;, nu;( z ),… … Wikipedia
Lommel polynomial — A Lommel polynomial R m , nu;( z ), introduced by harvs|txt|authorlink=Eugen von Lommel|first=Eugen von|last= Lommel|year=1871, is a polynomial in 1/ z giving the recurrence relation :displaystyle J {m+ u}(z) = J u(z)R {m, u}(z) J { u 1}(z)R {m 1 … Wikipedia
Eugen von Lommel — Pour les articles homonymes, voir Lommel (homonymie). Eugen von Lommel Eugen Cornelius Joseph von … Wikipédia en Français
Eugen von Lommel — Eugen Cornelius Joseph von Lommel (19 March 1837 ndash; 19 June, 1899) was a German physicist. He is notable for the Lommel polynomial, the Lommel function, the Lommel–Weber function, and the Lommel differential equation. He is also notable as… … Wikipedia
Polynôme de Lommel — Pour les articles homonymes, voir Lommel (homonymie). Les polynômes de Lommel, Rm,ν(z), introduits par Eugen von Lommel en 1871, sont des polynômes en 1/z vérifiant la relation suivante: où Jν(z) est la fonction de Bessel du premier ordre. Ils… … Wikipédia en Français
Bessel function — In mathematics, Bessel functions, first defined by the mathematician Daniel Bernoulli and generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel s differential equation: for an arbitrary real or complex number α (the order of the … Wikipedia
List of special functions and eponyms — This is a list of special function eponyms in mathematics, to cover the theory of special functions, the differential equations they satisfy, named differential operators of the theory (but not intended to include every mathematical eponym).… … Wikipedia
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Функция Ломмеля — Функция Ломмеля неэлементарная функция, которая является частным решением неоднородного уравнения Бесселя: Введена немецким математиком Эйгеном фон Ломмелем.[1][2] Интегральное выражение функции Ломмеля: где … Википедия
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