Transcendental Function/Examples/Logarithm Functions
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Examples of Transcendental Functions
The logarithm functions are transcendental.
Real Logarithm Function is Transcendental
Real Logarithm Function is Transcendental
Complex Logarithm Function is Transcendental
Let $a \in \R_{>0}$ be a strictly positive real number such that $a \ne 1$.
Let $\log_a: \C \to \C$ denote the complex general logarithm base $a$.
$\log_a$ is a transcendental function.
Sources
- 1973: G. Stephenson: Mathematical Methods for Science Students (2nd ed.) ... (previous) ... (next): Chapter $1$: Real Numbers and Functions of a Real Variable: $1.3$ Functions of a Real Variable: $\text {(g)}$ Transcendental Functions
- 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $2$: Functions, Limits and Continuity: The Elementary Functions: $10$
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): function (map, mapping)
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): function (map, mapping)