Fourier-Bessel series
E1536842
UNEXPLORED
A Fourier-Bessel series is an expansion of a function in terms of Bessel functions, analogous to a Fourier series but adapted to problems with cylindrical symmetry and radial coordinates.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Fourier-Bessel series canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T22437979 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fourier-Bessel series Context triple: [Bessel functions, relatedTo, Fourier-Bessel series]
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A.
Bessel functions
Bessel functions are special mathematical functions that commonly arise as solutions to differential equations with cylindrical symmetry, widely used in physics and engineering.
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B.
Fourier series
A Fourier series is a way of representing a periodic function as an infinite sum of sines and cosines with appropriately chosen coefficients.
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C.
Bohr–Fourier series
The Bohr–Fourier series is a generalization of the classical Fourier series that represents almost periodic functions as infinite sums of complex exponentials with possibly incommensurable frequencies.
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D.
Hermite functions
Hermite functions are a family of orthogonal functions built from Hermite polynomials and a Gaussian weight, widely used in quantum mechanics, signal processing, and approximation theory.
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E.
Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale
"Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale" is a classic mathematical treatise by Ulisse Dini on Fourier series and related analytic methods for representing real-valued functions.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Fourier-Bessel series Target entity description: A Fourier-Bessel series is an expansion of a function in terms of Bessel functions, analogous to a Fourier series but adapted to problems with cylindrical symmetry and radial coordinates.
-
A.
Bessel functions
Bessel functions are special mathematical functions that commonly arise as solutions to differential equations with cylindrical symmetry, widely used in physics and engineering.
-
B.
Fourier series
A Fourier series is a way of representing a periodic function as an infinite sum of sines and cosines with appropriately chosen coefficients.
-
C.
Bohr–Fourier series
The Bohr–Fourier series is a generalization of the classical Fourier series that represents almost periodic functions as infinite sums of complex exponentials with possibly incommensurable frequencies.
-
D.
Hermite functions
Hermite functions are a family of orthogonal functions built from Hermite polynomials and a Gaussian weight, widely used in quantum mechanics, signal processing, and approximation theory.
-
E.
Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale
"Serie di Fourier e altre rappresentazioni analitiche delle funzioni di una variabile reale" is a classic mathematical treatise by Ulisse Dini on Fourier series and related analytic methods for representing real-valued functions.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.