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spherical_bessel

Overloads

NameDescription
spherical_bessel(integer n, integer x) -> realEvaluates the spherical Bessel function of the first kind at the given position. The spherical Bessel functions are defined as:...
spherical_bessel(integer n, real x) -> realEvaluates the spherical Bessel function of the first kind at the given position. The spherical Bessel functions are defined as:...
spherical_bessel(integer n, bool x) -> realEvaluates the spherical Bessel function of the first kind at the given position. The spherical Bessel functions are defined as:...

spherical_bessel(integer n, integer x) -> real

Evaluates the spherical Bessel function of the first kind at the given position. The spherical Bessel functions are defined as:

jn(x)=π2xJn+1/2(x)j_n(x) = \sqrt{\frac{\pi}{2x}} J_{n+1/2}(x)

Parameters

  • n: The degree of the polynomial.
  • x: The value at which the function is evaluated.

spherical_bessel(integer n, real x) -> real

Evaluates the spherical Bessel function of the first kind at the given position. The spherical Bessel functions are defined as:

jn(x)=π2xJn+1/2(x)j_n(x) = \sqrt{\frac{\pi}{2x}} J_{n+1/2}(x)

Parameters

  • n: The degree of the polynomial.
  • x: The value at which the function is evaluated.

spherical_bessel(integer n, bool x) -> real

Evaluates the spherical Bessel function of the first kind at the given position. The spherical Bessel functions are defined as:

jn(x)=π2xJn+1/2(x)j_n(x) = \sqrt{\frac{\pi}{2x}} J_{n+1/2}(x)

Parameters

  • n: The degree of the polynomial.
  • x: The value at which the function is evaluated.