07/27/2014, 05:01 PM
About that perpendicular thing...
I think I was able to show that the first occurance - between the first 2 zero's starting from 0 going to -oo - is true if all zero's are on the negative real line.
Basicly it uses hadamard and says that adding a linear term (by product) does not change the property. I started with a polynomial of degree 2 and then used induction.
Probably this can be extended to all occurances.
regards
tommy1729
I think I was able to show that the first occurance - between the first 2 zero's starting from 0 going to -oo - is true if all zero's are on the negative real line.
Basicly it uses hadamard and says that adding a linear term (by product) does not change the property. I started with a polynomial of degree 2 and then used induction.
Probably this can be extended to all occurances.
regards
tommy1729
