exp(z)
Assuming "exp" is a math function | Use as instead

Input

exp(z)

Result

e^z

Plot

Plot
Plot

Complex map

Complex map

Roots

(no roots exist)

Periodicity

periodic in z with period 2 i π

Branch points

(none; function is entire)

Series expansion at z=0

1 + z + z^2/2 + z^3/6 + z^4/24 + O(z^5) (Taylor series)
Big‐O notation »

Derivative

d/dz(exp(z)) = e^z

Indefinite integral

integral e^z dz = e^z + constant

Limit

lim_(z->-∞) e^z = 0

Alternative representation

e^z = ζ^z for ζ = e
e^z = w^a for a = z/log(w)
e^z = 1 + 2/(-1 + coth(z/2))
More information »
POWERED BY THE WOLFRAM LANGUAGE