List questions from orthogonal-polynomials

Published on 28 Mar 2026 - 4:33

32

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Which two functions, each with a degree of one, are orthogonal to one another?

Published on 28 Apr 2021 - 14:29

57

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Prerequisites for understanding Zernike Polynomials

Published on 07 May 2021 - 3:11

280

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Derivation of Kravchuk polynomial identity

Published on 28 Mar 2026 - 8:39

46

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Can division of two generic polynomials be expressed as another polynomial?

Published on 14 May 2021 - 3:11

75

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Generating function of Meixner polynomial

Published on 25 May 2021 - 6:06

433

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Orthonormal polynomial basis of $L^2([0,1])$

Published on 28 Mar 2026 - 6:23

137

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Gaussian Hermite expansion for complex numbers

Published on 24 Feb 2026 - 11:34

483

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Rodrigues' Formula for Laguerre equation

Published on 23 Feb 2026 - 15:46

170

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Do Hermite polynomials satisfy $\int(H_n(x))^2 e^{-x^2} dx= 2n \int (H_{n-1}(x))^2 e^{-x^2} dx$?

Published on 25 Mar 2026 - 19:25

120

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Jacobi Polynomials integral

Published on 05 Jun 2021 - 10:43

480

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Deriving Gauss-Hermite weights

Published on 26 Mar 2026 - 10:57

235

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Why does interpolating a function on an interval using orthogonal polynomials give the best possible approximation in that interval?

Published on 27 Jun 2021 - 10:14

90

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Alternative orthogonality relations between associated Legendre polynomials

Published on 28 Mar 2026 - 6:30

269

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On an orthogonal polynomial expansion of a function

Published on 30 Jun 2021 - 16:47

List Question

How to prove generating function of legendre polynomials? What am I doing wrong?

Which two functions, each with a degree of one, are orthogonal to one another?

Prerequisites for understanding Zernike Polynomials

Derivation of Kravchuk polynomial identity

Can division of two generic polynomials be expressed as another polynomial?

Generating function of Meixner polynomial

Orthonormal polynomial basis of $L^2([0,1])$

Gaussian Hermite expansion for complex numbers

Rodrigues' Formula for Laguerre equation

Do Hermite polynomials satisfy $\int(H_n(x))^2 e^{-x^2} dx= 2n \int (H_{n-1}(x))^2 e^{-x^2} dx$?

Jacobi Polynomials integral

Deriving Gauss-Hermite weights

Why does interpolating a function on an interval using orthogonal polynomials give the best possible approximation in that interval?

Alternative orthogonality relations between associated Legendre polynomials

On an orthogonal polynomial expansion of a function

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