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Bessel function

Bessel functions are a class of special functions that commonly appear in problems involving wave motion, heat conduction, and other physical phenomena with circular or cylindrical symmetry. They are named after the German astronomer and mathematician Friedrich Bessel, who studied them systematically in 1824.

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Definitions

Asymptotic forms

Properties

Multiplication theorem

History

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Bessel function

Nodes145
Edges144
Triples149
Avg. degree1.99
Density0.013793
Components1

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Bessel function

Top relations

related to Bessel functions of the first kind: Jα · 16
Bessel function → Bessel, Bessel's, For, Frobenius, Gamma, It, J0, J1, Jn, Jα, Maclaurin, On, Some, Taylor, The, The Bessel
has application · 15
Bessel function → Bessel, Bessel's, Diffusion, DNA, Electromagnetic, Feynman, For, Helmholtz, In, Kirchhoff, Laplace's, Love, Mindlin, Reissner, Schrödinger
related to Hankel functions: H(1) α, H(2) α · 11
Bessel function → Another, Bessel, Bessel's, Euler's, For, Hankel, Here, Hermann Hankel, These, They, Thus
related to Bessel functions of the second kind: Yα · 10
Bessel function → Bessel, Carl Neumann, For, Jα, Neumann, Nα, The Bessel, These, Weber, Yα
related to Modified Bessel functions: Iα, Kα · 10
Bessel function → Bessel, Gamma, Hankel, In, Iα, Jα, The, The Bessel, These, When
related to Waves and elasticity problems · 10
Bessel function → Bernoulli, Bernoulli's, Bessel, Daniel, Daniel Bernoulli, Euler, Johann Bernoulli, Laguerre, Leonhard Euler, The
related to Bourget's hypothesis · 9
Bessel function → Bessel, Bourget's, Carl Ludwig Siegel, French, Jn, Specifically, The, This, When
related to Astronomical problems · 8
Bessel function → Bessel, Carl Friedrich Gauss, Fourier, Friedrich Wilhelm Bessel, In, Kepler's, Lagrange, Lagrange's
related to Recurrence relations · 8
Bessel function → Bessel, In, Jα, Spherical Bessel, The, These, Using, Yα
see also · 8
Bessel function → Anger, Bessel, Clifford, Exton, Gauss, Lebedev, Maitland, Newberger

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Important terminology

displaystyle bessel functions frac alpha left right equation infty function pi sin end begin integer cos aligned sum solutions spherical

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
sheet metalinstance ofor thicker plates0.80text
Bessel functionhas applicationBessel's0.60section
Bessel functionhas applicationLaplace's0.60section
Bessel functionhas applicationHelmholtz0.60section
Bessel functionhas applicationBessel0.60section
Bessel functionhas applicationIn0.60section
Bessel functionhas applicationFor0.60section
Bessel functionhas applicationElectromagnetic0.60section
Bessel functionhas applicationKirchhoff0.60section
Bessel functionhas applicationLove0.60section
Bessel functionhas applicationMindlin0.60section
Bessel functionhas applicationReissner0.60section

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