Bessel identity

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• 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

• Bessel's inequality — In mathematics, especially functional analysis, Bessel s inequality is a statement about the coefficients of an element x in a Hilbert space with respect to an orthonormal sequence.Let H be a Hilbert space, and suppose that e 1, e 2, ... is an… …   Wikipedia

• Sommerfeld identity — The Sommerfeld identity is a mathematical identity, due Arnold Sommerfeld, used in the theory of propagation of waves, :frace^{ik R} {R} = intlimits 0^infty I 0(lambda r) e^{ mu left| z ight| } fraclambda d lambdamuwhere:mu = sqrt {lambda ^2 k^2… …   Wikipedia

• Parseval's identity — In mathematical analysis, Parseval s identity is a fundamental result on the summability of the Fourier series of a function. Geometrically, it is the Pythagorean theorem for inner product spaces. Informally, the identity asserts that the sum of… …   Wikipedia

• Abel's identity — Abel s formula redirects here. For the formula on difference operators, see Summation by parts. In mathematics, Abel s identity (also called Abel s differential equation identity) is an equation that expresses the Wronskian of two homogeneous… …   Wikipedia

• Jacobi-Anger identity — The Jacobi Anger identity is an expansion of exponentials of trigonometric functions in the basis of their harmonics. It is useful in physics (for example, to convert between plane waves and cylindrical waves), and in signal processing (to… …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia

• List of mathematics articles (B) — NOTOC B B spline B* algebra B* search algorithm B,C,K,W system BA model Ba space Babuška Lax Milgram theorem Baby Monster group Baby step giant step Babylonian mathematics Babylonian numerals Bach tensor Bach s algorithm Bachmann–Howard ordinal… …   Wikipedia

• Common integrals in quantum field theory — There are common integrals in quantum field theory that appear repeatedly.[1] These integrals are all variations and generalizations of gaussian integrals to the complex plane and to multiple dimensions. Other integrals can be approximated by… …   Wikipedia

• Von Mises distribution — Probability distribution name =von Mises type =density pdf The support is chosen to be [ π,π] with μ=0 cdf The support is chosen to be [ π,π] with μ=0 parameters =mu real kappa>0 support =xin any interval of length 2π pdf =frac{e^{kappacos(x… …   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