# Category:Definitions/Exponential Function

Jump to navigation
Jump to search

This category contains definitions related to Exponential Function.

Related results can be found in Category:Exponential Function.

The **exponential function** can be defined as the unique particular solution $y = \map f z$ to the first order ODE:

- $\dfrac {\d y} {\d z} = y$

satisfying the initial condition $\map f 0 = 1$.

That is, the defining property of $\exp$ is that it is its own derivative.

## Subcategories

This category has only the following subcategory.

### L

## Pages in category "Definitions/Exponential Function"

The following 15 pages are in this category, out of 15 total.

### E

- Definition:Exponential Function
- Definition:Exponential Function/Complex
- Definition:Exponential Function/Complex/Differential Equation
- Definition:Exponential Function/Complex/Limit of Sequence
- Definition:Exponential Function/Complex/Real Functions
- Definition:Exponential Function/Complex/Sum of Series
- Definition:Exponential Function/Real
- Definition:Exponential Function/Real/Differential Equation
- Definition:Exponential Function/Real/Extension of Rational Exponential
- Definition:Exponential Function/Real/Inverse of Natural Logarithm
- Definition:Exponential Function/Real/Limit of Sequence
- Definition:Exponential Function/Real/Sum of Series
- Definition:Exponential Integral Function