Grothard Messages 26 Reaction score 0 Thread starter May 5, 2011 #1 A function f that is analytic in the whole plane does not take any value more than 3 times. What can it be?
A function f that is analytic in the whole plane does not take any value more than 3 times. What can it be?
berkeman Admin Messages 69,781 Reaction score 25,629 May 6, 2011 #2 Grothard said: A function f that is analytic in the whole plane does not take any value more than 3 times. What can it be? Please PM me the solution so that this can stay posted as a puzzle. Otherwise, the HH rules would apply. Thanks.
Grothard said: A function f that is analytic in the whole plane does not take any value more than 3 times. What can it be? Please PM me the solution so that this can stay posted as a puzzle. Otherwise, the HH rules would apply. Thanks.
mathman Science Advisor Homework Helper Messages 8,130 Reaction score 575 May 6, 2011 #3 Grothard said: A function f that is analytic in the whole plane does not take any value more than 3 times. What can it be? How about a cubic polynomial?
Grothard said: A function f that is analytic in the whole plane does not take any value more than 3 times. What can it be? How about a cubic polynomial?