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## Main Question or Discussion Point

Hello everyone.

The Legendre polynomials are defined between (-1 and 1) as 1, x, ½*(3x

My question is how can I switch the domain to (1, 2) and how can I calculate the new polynomials.

I need them to construct an estimation of a random uniform variable by chaos polynomials between 1 and 2

Thanks

The Legendre polynomials are defined between (-1 and 1) as 1, x, ½*(3x

^{2}-1), ½*(5x^{3}-3x)...My question is how can I switch the domain to (1, 2) and how can I calculate the new polynomials.

I need them to construct an estimation of a random uniform variable by chaos polynomials between 1 and 2

Thanks