List questions from orthogonal-polynomials

Published on 22 Mar 2026 - 19:39

250

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Generalization of monomial orthogonality?

Published on 22 Mar 2026 - 9:11

520

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Precise conditions on Sturm-Liouville Theorems

Published on 22 Mar 2026 - 19:02

70

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Problem about Integration of several orthogonal polynomials

Published on 22 Mar 2026 - 8:31

71

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Eigenvalues and orthogonal function expansions

Published on 22 Mar 2026 - 15:54

273

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Complex generating function for Legendre polynomials

Published on 22 Mar 2026 - 2:57

210

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Are there any complete orthogonal basis functions inside unit sphere?

Published on 22 Mar 2026 - 4:02

809

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If three functions A, B and C are mutually orthogonal, is the inner product of all three functions equal to zero?

Published on 19 Jun 2018 - 5:33

87

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Basis functions for a Galerkin procedure

Published on 23 Mar 2026 - 3:48

53

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Is any algebraic number a root of a given orthogonal polynomial?

Published on 21 Mar 2026 - 20:22

50

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Is there a name for "almost-subspaces" $U$ that do not satisfy $cu \in U, \forall u \in U$? If so do they have any properties?

Published on 21 Mar 2026 - 17:20

80

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How to construct an orthogonal, complete set of functions on the interval $[0, L]$ with given conditions at $x=0,L$?

Published on 21 Mar 2026 - 18:32

362

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Use Gram-Schmidt orthogonalisation to orthogonalise the system of vectors

Published on 22 Mar 2026 - 2:41

222

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Determining Rodriguez formula for Legendre polynomials

Published on 22 Mar 2026 - 7:45

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I want to prove that $ \int_{-1}^{+1}xp_{s}(x)p_{r}(x)dx=\delta_{r,s+1}\frac{2r}{(2r+1)(2r-1)}+\delta_{s,r+1}\frac{2s}{(2s+1)(2s-1)}. $

Published on 22 Mar 2026 - 12:10

List Question

Orthogonality Condition for hypergeometric functions

Generalization of monomial orthogonality?

Precise conditions on Sturm-Liouville Theorems

Problem about Integration of several orthogonal polynomials

Eigenvalues and orthogonal function expansions

Complex generating function for Legendre polynomials

Are there any complete orthogonal basis functions inside unit sphere?

If three functions A, B and C are mutually orthogonal, is the inner product of all three functions equal to zero?

Basis functions for a Galerkin procedure

Is any algebraic number a root of a given orthogonal polynomial?

Is there a name for "almost-subspaces" $U$ that do not satisfy $cu \in U, \forall u \in U$? If so do they have any properties?

How to construct an orthogonal, complete set of functions on the interval $[0, L]$ with given conditions at $x=0,L$?

Use Gram-Schmidt orthogonalisation to orthogonalise the system of vectors

Determining Rodriguez formula for Legendre polynomials

I want to prove that $ \int_{-1}^{+1}xp_{s}(x)p_{r}(x)dx=\delta_{r,s+1}\frac{2r}{(2r+1)(2r-1)}+\delta_{s,r+1}\frac{2s}{(2s+1)(2s-1)}. $

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