If, from certain arguments, I am aware that polynomials of order n, $P_n(t)$, are orthogonal with respect to some weight and some normalization, what is the best or most general way to find out the weight and normalization? Specific details: The specific problem I am having concerns $P_n(t)=F_n(t)+G_{n-1}(t)+t H_{n-2}(t)$ where $F,G,H$ are known orthogonal polynomials but with different weights.
2026-03-28 02:48:20.1774666100
Determining weights and normalization for orthogonality given all polynomials
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