Picard,s Little Theorem
المؤلف:
Krantz, S. G.
المصدر:
"Picard,s Little Theorem." §10.5.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser
الجزء والصفحة:
...
25-11-2018
1156
Picard's Little Theorem
Any entire analytic function whose range omits two points must be a constant function.
Of course, an entire function that omits a single point from its range need not be a constant, as illustrated by the function 
, which is entire but omits the point 
from its range.
REFERENCES:
Krantz, S. G. "Picard's Little Theorem." §10.5.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 140, 1999.
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