Lommel polynomials
E1398550
UNEXPLORED
Lommel polynomials are a family of special polynomials arising in the study of Bessel functions and certain differential equations in mathematical physics.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Lommel polynomials canonical | 2 |
| Lommel functions | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T19827602 — 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: Lommel polynomials Context triple: [Eugen von Lommel, notableWork, Lommel polynomials]
-
A.
Laguerre polynomials
Laguerre polynomials are a classical family of orthogonal polynomials that arise in solutions of differential equations and play a key role in quantum mechanics and numerical analysis.
-
B.
Kummer's differential equation
Kummer's differential equation is a second-order linear ordinary differential equation whose solutions are the confluent hypergeometric functions, playing a central role in special function theory and mathematical physics.
-
C.
Kummer's function (confluent hypergeometric function)
Kummer's function, or the confluent hypergeometric function, is a special function that solves a simplified form of the hypergeometric differential equation and appears widely in mathematical physics, probability, and differential equations.
-
D.
Gauss hypergeometric function
The Gauss hypergeometric function is a special function defined by a power series that generalizes many elementary and higher transcendental functions and plays a central role in mathematical analysis, differential equations, and mathematical physics.
-
E.
Mittag-Leffler function
The Mittag-Leffler function is a complex function that generalizes the exponential function and plays a central role in fractional calculus and the theory of differential and integral equations.
- 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: Lommel polynomials Target entity description: Lommel polynomials are a family of special polynomials arising in the study of Bessel functions and certain differential equations in mathematical physics.
-
A.
Laguerre polynomials
Laguerre polynomials are a classical family of orthogonal polynomials that arise in solutions of differential equations and play a key role in quantum mechanics and numerical analysis.
-
B.
Kummer's differential equation
Kummer's differential equation is a second-order linear ordinary differential equation whose solutions are the confluent hypergeometric functions, playing a central role in special function theory and mathematical physics.
-
C.
Kummer's function (confluent hypergeometric function)
Kummer's function, or the confluent hypergeometric function, is a special function that solves a simplified form of the hypergeometric differential equation and appears widely in mathematical physics, probability, and differential equations.
-
D.
Gauss hypergeometric function
The Gauss hypergeometric function is a special function defined by a power series that generalizes many elementary and higher transcendental functions and plays a central role in mathematical analysis, differential equations, and mathematical physics.
-
E.
Mittag-Leffler function
The Mittag-Leffler function is a complex function that generalizes the exponential function and plays a central role in fractional calculus and the theory of differential and integral equations.
- F. None of above. chosen
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Lommel polynomials