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lacunary value
In complex analysis, a subfield of mathematics, a lacunary value or gap of a complex-valued function defined on a subset of the complex plane is a complex number which is not in the image of the function.〔.〕
More specifically, given a subset ''X'' of the complex plane C and a function ''f'':''X''→C, a complex number ''z'' is called a ''lacunary value'' of ''f'' if ''z''∉image(''f'').
Note, for example, that 0 is the only lacunary value of the complex exponential function. The two Picard theorems limit the number of possible lacunary values of certain types of holomorphic functions.
==References==
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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