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gptkbp:instanceOf
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gptkb:software
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gptkbp:application
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gptkb:optics
gptkb:probability_theory
acoustics
electrical engineering
mechanical engineering
quantum mechanics
statistics
filter design
random walks
antenna theory
diffusion processes
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gptkbp:domain
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applied mathematics
complex analysis
engineering
physics
real analysis
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gptkbp:firstDescribed
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1817
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gptkbp:hasType
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gptkb:Bessel_function_of_the_first_kind
gptkb:Bessel_function_of_the_second_kind
gptkb:Hankel_function
gptkb:modified_Bessel_function
gptkb:spherical_Bessel_function
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|
https://www.w3.org/2000/01/rdf-schema#label
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Bessel functions
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gptkbp:namedAfter
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gptkb:Friedrich_Bessel
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gptkbp:notation
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H_n^{(1)}(x)
H_n^{(2)}(x)
I_n(x)
J_n(x)
K_n(x)
Y_n(x)
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gptkbp:property
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orthogonality
series expansion
asymptotic behavior
integral representations
recurrence relations
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gptkbp:relatedTo
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gptkb:wave_equation
gptkb:Laplace's_equation
gptkb:Helmholtz_equation
gptkb:Fourier-Bessel_series
gptkb:Sturm-Liouville_theory
cylindrical symmetry
|
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gptkbp:solvedBy
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Bessel's differential equation
|
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gptkbp:usedIn
|
gptkb:signal_processing
engineering
heat conduction
mathematical physics
electromagnetic wave propagation
vibration analysis
|
|
gptkbp:bfsParent
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gptkb:Friedrich_Bessel
gptkb:Friedrich_Wilhelm_Bessel
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gptkbp:bfsLayer
|
5
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