Exponential functions

Floating point special functions about a point.

boring_math.special_functions.exponential.exp0(x: float, /, n: int = 22) → float

Partially factored Taylor expansion of exp about x = 0.

Note

Best if -1 <= x <= 1.

Parameters:

• x – independent variable

• n – terms in expansion, must have n >= 22

Returns:

Taylor series expansion of eˣ centered at x = 0

boring_math.special_functions.exponential.exp(x: float, /, n: int = 22) → float

Exponential function good for all floating point x.

Parameters:

• x – independent variable

• n – terms in expansion, must have n >= 20

Returns:

Value of eˣ

boring_math.special_functions.exponential.cexp0(z: complex, /, n: int = 22) → complex

Partially factored Taylor expansion of exp about z = 0.

Note

Best if |z| <= 1.

Parameters:

• z – independent variable

• n – terms in expansion, must have n >= 20

Returns:

Taylor series expansion of eᶻ centered at z = 0

boring_math.special_functions.exponential.cexp(z: complex, /, n: int = 22) → complex

Exponential function good for all complex z.

Parameters:

• z – independent variable

• n – terms in expansion, must have n >= 20

Returns:

Value of eᶻ