Search results

I'm writing this article while still learning about Laguerre transformations. Early versions of the article did have a few mistakes and misconceptions...

isomorphic. On top of that, the Laguerre transformations have got two connected components, while the Mobius transformations have only got one. So such an...

Springer, Arthur (1995). "New Euclidean theorems by the use of Laguerre transformations – Some geometry of Minkowski (2+1)-space" (PDF). Journal of Geometry...

distances, so the dual Laguerre geometry switches these, and Laguerre transformations are modeled by fractional linear transformations of dual numbers. In...

number matrices, which is discussed extensively in the article on Laguerre transformations, though not using the standard notation and perspective of PGA...

the Generalized Laguerre polynomials, the expression in the article (before my edit) was not if we use the definition in the Laguerre polynomials. I think...

(2005), Issue 23, Pages 3849-3866. [6] Khristo N. Boyadzhiev, Lah numbers, Laguerre polynomials of order negative one, and the nth derivative of exp(1/x),...

earlier several of my pencil steps, also in the transformation from the SE (Schrödinger) to the Laguerre equation. To avoid loosing overview I propose the...

Abramowitz and Stegun) referred to for Laguerre quadrature is incorrect. Or rather it is if the formulae for the Laguerre polynomial in chapter 22 of the same...

Directed infinity, Complex projective plane, Line coordinates, Laguerre transformations, Plane of rotation, ... There is a ton of material that could plausibly...

angles) and the Laguerre geometry of the "Lobachevskii plane" (and other planes with hyperbolic distances), analogous to Möbius transformations in the Euclidean...

transformation certainly discusses the identification of "the group of transformations SO+(1,3) ... with the group PSL(2,C) of Möbius transformations...

Lorentz transformation. Nor is it clear if he ever fully appreciated Einstein's critical contribution to the understanding of the Lorentz transformations, thinking...

method for computing all the roots of any polynomial in a hurry. Newton and Laguerre find only one root which may not be the interesting one. Ruffini makes...

{1}{2}}\right)}\left({\frac {k^{2}\pi }{x}}\right),} where L {\displaystyle L} is the Laguerre function (which reduces to a polynomial of degree s in case s is an integer);...

properties of the Fourier transform and Hermite polynomials. The entries with Laguerre and Gegenbauer polynomials clearly don't belong. The Fourier transforms...

expands a differential equation in a series of special functions (e.g. Laguerre polynomials, and establishes a recurrence relation between successive coefficients...

in R2, R4, and R8; treating them using linear combinations goes back to Laguerre in 1867, who also defined systems of linear equations. In 1857, Cayley...

∈ N 0 {\displaystyle x\,y''+(1-x)\,y'+ny=0,\ n\in \mathbb {N} _{0}} . Laguerre polynomials : x y ″ + ( 1 − x ) y ′ + n y = 0 {\displaystyle x\,y''+(1-x)\...

theory are associated the names of Cayley, Cockle, Sylvester, Forsyth, Laguerre, and Halphen. Recent writers have shown the same tendency noticeable in...