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What (who) is cylinder function - definition
FAMILIES OF SOLUTIONS TO RELATED DIFFERENTIAL EQUATIONS
Bessel differential equation; Neumann function; Bessel Functions; Hankel function; Bessel equation; Bessel's equation; Bessel functions; Bessel function of the second kind; Bessel function of the first kind; Bessel function of the third kind; Hankel functions; Hankel function of the first kind; Hankel function of the second kind; Spherical Bessel function; Macdonald function; Spherical Bessel functions; Spherical Bessel differential equation; Spherical Bessel function of the first kind; Spherical Bessel function of the second kind; Spherical Bessel function of the third kind; Spherical modified Bessel function of the first kind; Spherical Hankel function of the first kind; Spherical Hankel function of the second kind; Riccati-Bessel functions; Riccati-Bessel function; Regular modified cylindrical Bessel functions; Cylindrical Bessel functions of the first kind; Irregular modified cylindrical Bessel functions; Cylindrical Bessel functions of the second kind; Cylindrical Neumann functions; Spherical Bessel functions of the first kind; Spherical Bessel functions of the second kind; Spherical Neumann functions; Modified Bessel function; Bessel's function; Bessel's differential equation; Spherical bessel function; Modified spherical Bessel function of the second kind; Spherical modified Bessel function of the second kind; Bessels function; Bessels equation; Neumann functions; Cylinder function; J(x); Bessell functions; Bourget's hypothesis; Basset function; Spherical Hankel function; Spherical Hankel functions; Riccati–Bessel function; Cylinder functions; Bessel functions of the first kind; Bessel's integrals; Bessel functions of the second kind; Bessel functions of the third kind; Modified Bessel functions; Hyperbolic Bessel functions; Modified Bessel function of the second kind; Modified Bessel functions of the second kind; Modified Bessel functions of the first kind; Modified Bessel function of the first kind; Hyperbolic Bessel functions of the first kind; Hyperbolic Bessel function of the first kind; Hyperbolic Bessel functions of the second kind; Hyperbolic Bessel function of the second kind; Basset functions; Modified Bessel function of the third kind; Modified Bessel functions of the third kind; Modified Hankel function; Modified Hankel functions; MacDonald functions; Spherical Neumann function; Rayleigh's Formulas; Rayleigh's Formula; Riccati–Bessel functions; Order of the Bessel function; Bessel integral; Bessel integrals; Bessel's integral; Modified Bessel's equation; Bessel function of an imaginary argument; Neumann's functions; Neumann's function; Bessel Y
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.svg?width=200 "1=''α'' = 0, 1, 2, 3}}")
.svg?width=200 "1=''α'' = 0, 1, 2}}")
.svg?width=200 "1=''α'' = 0, 1, 2}}")
 with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
 with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
 with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
 with n=0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
(z) with n=-0.5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "2+2i}} with colors created with Mathematica 13.1 function ComplexPlot3D")
.svg?width=200 "1=''n'' = 0, 1, 2}}")
.svg?width=200 "1=''n'' = 0, 1, 2}}")
Parabolic cylinder function
![Laplace's equation]] in these coordinates](https://commons.wikimedia.org/wiki/Special:FilePath/Parabolic cylindrical coordinates.png?width=200 "Laplace's equation]] in these coordinates")
 with v=5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "Plot of the parabolic cylinder function D v(z) with v=5 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D")
Weber equation; Weber's equation; Weber differential equation; Weber's differential equation; Weber differential equations; Parabolic cylinder functions; Weber–Hermite function; Weber-Hermite function; Hermite-Weber function; Hermite-weber function
In mathematics, the parabolic cylinder functions are special functions defined as solutions to the differential equation
Single-cylinder engine
![[[DKW]] RT 250 (1952–1953) motorcycle engine](https://commons.wikimedia.org/wiki/Special:FilePath/2007-05-20 3 DKW RT 250 in Mendig (kl).JPG?width=200 "[[DKW]] RT 250 (1952–1953) motorcycle engine")
![Villiers]] engine in a 1959 [[Bond Minicar]]](https://commons.wikimedia.org/wiki/Special:FilePath/Bond minicar engine bay 1959.jpg?width=200 "Villiers]] engine in a 1959 [[Bond Minicar]]")
![Yamaha SRX600]] (1985–1997) motorcycle engine](https://commons.wikimedia.org/wiki/Special:FilePath/Detail view of a large single-cylinder air-cooled motorcycle engine.jpg?width=200 "Yamaha SRX600]] (1985–1997) motorcycle engine")
PISTON ENGINE WITH ONE CYLINDER
Single cylinder; Single-cylinder; One-cylinder engine; One cylinder engine; 1 cylinder; Single cylinder engine
A single-cylinder engine, sometimes called a thumper, is a piston engine with one cylinder. This engine is often used for motorcycles, motor scooters, go-karts, all-terrain vehicles, radio-controlled vehicles, portable tools and garden machinery (such as lawnmowers, cultivators, and string trimmers).
Graduated cylinder
COMMON PIECE OF LABORATORY EQUIPMENT USED TO MEASURE THE VOLUME OF A LIQUID; HAS A NARROW CYLINDRICAL SHAPE
Measuring cylinder; Graduated cylinders; Measuring cylinders; Graduated glass; Graduated glasses
A graduated cylinder, also known as a measuring cylinder or mixing cylinder, is a common piece of laboratory equipment used to measure the volume of a liquid. It has a narrow cylindrical shape.
Wikipedia
Bessel function
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 , the order of the Bessel function. Although and produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of .The most important cases are when is an integer or half-integer. Bessel functions for integer are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates. Spherical Bessel functions with half-integer are obtained when the Helmholtz equation is solved in spherical coordinates.
