Hello, I was wondering if in this question we are talking about the polinomial sequence p_n(x)=x^n or is there some other well known sequence of polynomials that satisfy (1)? (by the way, it doesn’t appear in the hw who (1) is)

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Hello, I was wondering if in this question we are talking about the polinomial sequence p_n(x)=x^n or is there some other well known sequence of polynomials that satisfy (1)? (by the way, it doesn’t appear in the hw who (1) is)

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Rafael, I was intentionally vague about this. 🙂 But if anyone knows other polynomial sequences satisfying this, feel free to post them here.

And yes, (1) is that “binomial-theorem-looking” equation.