Are Jacobi SN functions orthonormal in some sense?

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Agah D. Garnadi

1. Use Gramm-Schmidt Orthogonalization Process ...

2. Basic : Equivalent Set of Complete Polynomials is dense ...

Gro Hovhannisyan

Sin[x] and Sin[2x] are orthogonal on [0,pi] since \int_0^\pi Sin[x] Sin[2x]dx=0.

Jacobi SN(x,k) could be orthogonal for some k. If k=1 it is not so, since SN[x,1]

is not oscillating, but for k=2 one can get \int_0^(2.628) SN[x,2] SN[2x,2]dx=0.

Masoud Shokri

Shouldn't k be equal or less than 1?