Definition:Analytic Complex Function/Also known as

Analytic Complex Function: Also known as

An analytic complex function is also referred to as a holomorphic function.

Some sources use the term regular function, but this is not endorsed on $\mathsf{Pr} \infty \mathsf{fWiki}$ as the word regular is overused.

The order of words can be varied: complex analytic function.

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): analytic: 1. (of a complex function)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): analytic function (holomorphic function, regular function)
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): regular function
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): analytic function (holomorphic function, regular function)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): regular function
• 2021: Richard Earl and James Nicholson: The Concise Oxford Dictionary of Mathematics (6th ed.) ... (previous) ... (next): analytic (of a complex function)