A function possessing a single period in the complex plane is said to be singly periodic, of often simply periodic. Singly periodic functions include the trigonometric functions. Elliptic functions are, however, doubly periodic.
Singly Periodic Function
See also
Doubly Periodic Function, Periodic Function, Triply Periodic FunctionExplore with Wolfram|Alpha
References
Whittaker, E. T. and Watson, G. N. A Course in Modern Analysis, 4th ed. Cambridge, England: Cambridge University Press, p. 429, 1990.Referenced on Wolfram|Alpha
Singly Periodic FunctionCite this as:
Weisstein, Eric W. "Singly Periodic Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SinglyPeriodicFunction.html