Bessel functions of the first kind
GPTKB entity
Statements (66)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:Berserker
|
| gptkbp:appears_in |
wave propagation problems
|
| gptkbp:are_continuous |
for all x
|
| gptkbp:are_even_or_odd |
depending on the order n
|
| gptkbp:are_orthogonal |
over the interval [0, 1]
|
| gptkbp:are_tabulated |
in mathematical handbooks
|
| gptkbp:denoted_by |
J_n(x)
|
| gptkbp:has_property |
recurrence relations
|
| gptkbp:have_asymptotic_forms |
for large arguments
|
| gptkbp:have_symmetry |
J_n(-x) = -J_n(x) if n is odd
J_n(-x) = J_n(x) if n is even |
| gptkbp:have_zeros |
which are not simple
|
| https://www.w3.org/2000/01/rdf-schema#label |
Bessel functions of the first kind
|
| gptkbp:is_a_solution_for |
Bessel's equation
|
| gptkbp:is_defined_by |
Bessel's differential equation
|
| gptkbp:is_expressed_in |
power series
|
| gptkbp:is_related_to |
gptkb:Legendre_polynomials
gptkb:series |
| gptkbp:is_used_in |
gptkb:engineers
gptkb:medical_imaging gptkb:nanotechnology gptkb:Artificial_Intelligence gptkb:Quantum_Mechanics gptkb:Telecommunications gptkb:Graphics_Processing_Unit gptkb:quantum_computing gptkb:machine_learning gptkb:optics gptkb:robotics image processing materials science data analysis chemical engineering computational mathematics environmental engineering fluid dynamics signal transmission acoustic engineering aerospace engineering biomedical engineering computational physics data science mechanical engineering numerical methods signal processing structural engineering electromagnetic theory computational chemistry control theory acoustics pattern recognition geophysics stability analysis seismology computational biology optical fibers nuclear engineering acoustic waveguides heat conduction problems solving problems in cylindrical coordinates vibrations of circular membranes waveguide theory |
| gptkbp:named_after |
gptkb:Friedrich_Bessel
|
| gptkbp:order |
n
|
| gptkbp:bfsParent |
gptkb:Friedrich_Bessel
|
| gptkbp:bfsLayer |
4
|