Understanding the IMEXP Formula

The IMEXP function in Excel returns the exponential of a complex number (e raised to the power of the complex number). It's an advanced mathematical tool for complex analysis—like solving differential equations, analyzing oscillations, or working with complex transformations.

IMEXP("1+i") returns e^(1+i), which equals e^1 × e^i according to complex number properties. It takes a complex number argument in the form of text ("x+yi" or "x+yj"), calculating e raised to that power—essential for applications in physics, engineering, or advanced mathematics.

Why Use IMEXP?

IMEXP enables complex exponential calculations—think signal analysis or wave function evaluation. Its implementation of complex exponentiation follows the mathematical identity e^(a+bi) = e^a × (cos(b) + i×sin(b)), making it valuable for fields where complex exponentials commonly appear.

Example with Sample Data

IMEXP calculates complex exponentials: e^(1+i) equals approximately 1.47+2.29i. When applied to a pure imaginary number like i, it gives values related to cos(1)+i×sin(1). For real numbers, it works just like the regular EXP function. It's a complex exponential calculator.