Kelvin function

Kelvin function
A class of special functions usually denoted as two pairs of functions ber(x), bei(x), ker(x) and kei(x) with variable x and given order number n. The former two functions ber(x) and bei(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equations solution that can be expressed with the Bessel function of the first kind J(x), and the latter ker(x) and kei(x) correspond to those that can be expressed with the modified Bessel function of the second kind K(x).
See Also: Kelvin differential equation

Wikipedia foundation.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Kelvin probe force microscope — Kelvin probe force microscopy ( KPFM ), also known as surface potential microscopy, is a noncontact variant of atomic force microscopy (AFM) that was [http://dns.ntu ccms.ntu.edu.tw/references/APPL PHYS LETT 58 2921 1991.pdf invented] in 1991.… …   Wikipedia

  • Kelvin transform — This article is about a type of transform used in classical potential theory, a topic in mathematics. The Kelvin transform is a device used in classical potential theory to extend the concept of a harmonic function, by allowing the definition of… …   Wikipedia

  • Kelvin functions — The Kelvin functions Ber nu;( x ) and Bei nu;( x ) are the real and imaginary parts, respectively, of :J u(x e^{3 pi i/4}),, where x is real, and J u(z), is the nu;th order Bessel function of the first kind. Similarly, the functions Ker nu;( x )… …   Wikipedia

  • Kelvin Hall International Sports Arena — The Kelvin Hall International Sports Arena is located within the Kelvin Hall in Glasgow, Scotland. History Built in the West End of Glasgow, near the Kelvingrove Art Gallery and Museum, it was completed in 1927. The previous building on the site… …   Wikipedia

  • Kelvin Lancaster — Infobox Scientist name = Kelvin Lancaster image size = 60px caption = Kelvin John Lancaster birth date = birth date|1924|12|10 birth place = Sydney, Australia death date = July 23 1999, age Age at date|1924|12|10|1999|07|23 death place = New York …   Wikipedia

  • Kelvin's circulation theorem — In fluid mechanics, Kelvin s Circulation Theorem states In an inviscid, barotropic flow with conservative body forces, the circulation around a closed curve moving with the fluid remains constant with time [Kundu, P and Cohen, I: Fluid Mechanics …   Wikipedia

  • Work function — In solid state physics, the work function is the minimum energy (usually measured in electron volts) needed to remove an electron from a solid to a point immediately outside the solid surface (or energy needed to move an electron from the Fermi… …   Wikipedia

  • Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

  • 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

  • Confluent hypergeometric function — In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”