Bessel function of order one

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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-Clifford function — In mathematical analysis, the Bessel Clifford function is an entire function of two complex variables which can be used to provide an alternative development of the theory of Bessel functions. If :pi(x) = frac{1}{Pi(x)} = frac{1}{Gamma(x+1)}is… …   Wikipedia

• Bessel filter — In electronics and signal processing, a Bessel filter is a variety of linear filter with a maximally flat group delay (linear phase response). Bessel filters are often used in audio crossover systems. Analog Bessel filters are characterized by… …   Wikipedia

• Window function — For the term used in SQL statements, see Window function (SQL) In signal processing, a window function (also known as an apodization function or tapering function[1]) is a mathematical function that is zero valued outside of some chosen interval …   Wikipedia

• Meijer G-Function — The G function was defined for the first time by the Dutch mathematician Cornelis Simon Meijer (1904 1974) in 1936 as an attempt to introduce a very general function that includes most of the known special functions as particular cases. This was… …   Wikipedia

• Struve function — In mathematics, Struve functions , are solutions y(x) of the non homogenous Bessel s differential equation: introduced by Hermann Struve (1882). The complex number α is the order of the Struve function, and is often an integer. The modified… …   Wikipedia

• special function — ▪ mathematics       any of a class of mathematical functions (function) that arise in the solution of various classical problems of physics. These problems generally involve the flow of electromagnetic, acoustic, or thermal energy. Different… …   Universalium

• 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

• Green's function for the three-variable Laplace equation — The free space Green s function for the three variable Laplace equation is given in terms of the reciprocal distance between two points. That is to say the solution of the equation : abla^2 G(mathbf{x},mathbf{x }) = delta(mathbf{x} mathbf{x }) is …   Wikipedia

• Point spread function — The point spread function (PSF) describes the response of an imaging system to a point source or point object. A related but more general term for the PSF is a system s impulse response. The PSF in many contexts can be thought of as the extended… …   Wikipedia

• Sinc function — In mathematics, the sinc function, denoted by scriptstylemathrm{sinc}(x), and sometimes as scriptstylemathrm{Sa}(x),, has two definitions, sometimes distinguished as the normalized sinc function and unnormalized sinc function. In digital signal… …   Wikipedia