compute zeros Pollaczek polynomial with "w(x)=exp(-(1-x^2))^(-alpha), alpha>0" weight

[araz2020]

compute zeros Pollaczek polynomial with "w(x)=exp(-(1-x^2))^(-alpha), alpha>0" weight

hi friends
I have two question please help me.
question1:
I want to compute zeros Pollaczek polynomial with "w(x)=exp(-(1-x^2))^(-alpha), alpha>0" weight.
I would like to know how about the recurrence relation of the polynomial with this weigh?


question 2 :
What happen when we said above weight violates Szego condition ?

 

[Deleted member 4993]

hi friends
I have two question please help me.
question1:
I want to compute zeros Pollaczek polynomial with "w(x)=exp(-(1-x^2))^(-alpha), alpha>0" weight.
I would like to know how about the recurrence relation of the polynomial with this weigh?


question 2 :
What happen when we said above weight violates Szego condition ?

What are your thoughts?

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