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beta

Overloads​

NameDescription
beta(bool n, integer x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(bool n, real x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(real n, bool x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(bool n, bool x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(real n, real x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(real n, integer x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(integer n, bool x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(integer n, real x) -> realEvaluates the beta function at the given position. The beta function is defined as:...
beta(integer n, integer x) -> realEvaluates the beta function at the given position. The beta function is defined as:...

beta(bool n, integer x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(bool n, real x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(real n, bool x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(bool n, bool x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(real n, real x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(real n, integer x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(integer n, bool x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(integer n, real x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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

beta(integer n, integer x) -> real​

Evaluates the beta function at the given position. The beta function is defined as:

B(x,y)=∫01tx−1(1−t)y−1dtB(x, y) = \int_0^1 t^{x-1} (1-t)^{y-1} dt

Parameters​

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