exponential function (redirected from Complex exponential function)

exponential function

In mathematics, a function in which a constant base is raised to a variable power. Exponential functions are used to model changes in population size, in the spread of diseases, and in the growth of investments. They can also accurately predict types of decline typified by radioactive decay (see half-life). The essence of exponential growth, and a characteristic of all exponential growth functions, is that they double in size over regular intervals. The most important exponential function is e^x, the inverse of the natural logarithmic function (see logarithm).

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exponential function [‚ek·spə′nen·chəl ′fəŋk·shən]

(mathematics)

The function ƒ(x) =e^x, written ƒ(x) = exp (x).