Search results
Sep 25, 2024 · Bessel function, any of a set of mathematical functions systematically derived around 1817 by the German astronomer Friedrich Wilhelm Bessel. They arise in the solution of Laplace’s equation when the latter is formulated in cylindrical coordinates.
3 days ago · When Gauss was asked for help by his colleague and friend Friedrich Wilhelm Bessel in 1810, who was in trouble at Königsberg University because of his lack of an academic title, Gauss provided a doctorate honoris causa for Bessel from the Philosophy Faculty of Göttingen in March 1811.
4 days ago · In 1841, Friedrich Wilhelm Bessel would calculate the Earth's flattening from ten meridian arcs measured with sufficient accuracy using the method of least squares and found a value of 1 / 299.15 . His reference ellipsoid would long be used by geodesists.
Sep 27, 2024 · Bessel functions by itself are eigenfunctions of the singular Sturm--Liouville problem on semi-infinite interval. \ [ \frac {\text d} { {\text d}x} \left ( x\,\frac { {\text d}y} { {\text d}x} \right) + x\,y (x) = \lambda \left ( \frac {1} {x} \right) y , \qquad y (+0) < \infty , \quad y (+\infty ) < \infty . \]
6 days ago · If parameters μ n and μ k are chosen in a way to annihilate the right-hand side of Eq. (2) (2), we get orthogonality of Bessel's functions. We consider three important cases of boundary conditions for which Bessel's functions are orthogonal.
Sep 26, 2024 · Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions y(x) of Bessel's differential equation + + = for an arbitrary complex number, which represents the order of the Bessel function.
Sep 18, 2024 · "Bessel, Friedrich Wilhelm" published on by Oxford University Press. (1784–1846) German astronomerBessel was born into a poor family in Minden, Germany, and started work as a clerk. His interest in and aptitude for astronomy brought him to the attention of ...
