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Interpolation and general Gaussian quadrature

score 42 · Answer 1 · 2023-12-20 20:49:41

42

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Interpolation and general Gaussian quadrature

Published on 20 Dec 2023 - 20:49

score 38 · Answer 2 · 2026-03-26 04:34:40

38

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Expansion of $\frac{\text{erfc}({|\vec{r} - \vec{r'}|})}{|\vec{r} - \vec{r'}|}$ in spherical harmonics?

Published on 26 Mar 2026 - 4:34

score 198 · Answer 3 · 2026-03-25 16:03:50

198

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How to express a Gaussian as a series of exponential? $\displaystyle e^{-x^2}=\sum_{n=1}^{\infty}c_n e^{-nx}$

Published on 25 Mar 2026 - 16:03

score 36 · Answer 4 · 2024-01-09 09:18:52

36

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legendre solution for non homogenous equation

Published on 09 Jan 2024 - 9:18

score 67 · Answer 5 · 2024-01-25 02:59:08

67

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Closed Forms for Sums of Legendre Polynomials

Published on 25 Jan 2024 - 2:59

score 62 · Answer 6 · 2024-02-16 11:52:39

62

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Calculating the behaviour of an integral with Legendre polynomials of large order

Published on 16 Feb 2024 - 11:52

score 22 · Answer 7 · 2024-02-23 10:55:36

22

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Investigating the numerical accuracy of a truncated Legendre polynomial expansion of an unknown function

Published on 23 Feb 2024 - 10:55

score 16 · Answer 8 · 2026-03-09 09:09:04

Is it possible to prove orthogonal form of integral of legendre polynomial solely from legendre's differential equation without using anything?

score 41 · Answer 9 · 2024-03-03 01:18:21

41

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Finding $l$ such that the Legendre differential equation has a polynomial solution

Published on 03 Mar 2024 - 1:18

score 46 · Answer 10 · 2024-03-04 15:12:28

46

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Morse and Fesbach identity $\sum_{n=0}^{\infty} e^{-(n+\frac{1}{2})|u|} \; P_n(x) =(2\cosh u - 2x)^{-1/2}$

Published on 04 Mar 2024 - 15:12

score 30 · Answer 11 · 2024-03-07 12:52:03

30

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Multidimensional Legendre polynomials?

Published on 07 Mar 2024 - 12:52

score 57 · Answer 12 · 2026-03-25 20:35:48

57

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Is the Gram-Schmidt Orthogonalization process for functions the same as it is for vectors?

Published on 25 Mar 2026 - 20:35

score 90 · Answer 13 · 2026-02-23 16:53:29

90

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Calculation for negative integer order Associated Legendre Function

Published on 23 Feb 2026 - 16:53

score 26 · Answer 14 · 2026-03-26 09:42:49

26

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Integral of product of Legendre polynomial and exponential function

Published on 26 Mar 2026 - 9:42

score 1k · Answer 15 · 2015-01-23 13:46:23

1k

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Integral containing Associated Legendre Polynomials

Published on 23 Jan 2015 - 13:46

List Question

Interpolation and general Gaussian quadrature

Expansion of $\frac{\text{erfc}({|\vec{r} - \vec{r'}|})}{|\vec{r} - \vec{r'}|}$ in spherical harmonics?

How to express a Gaussian as a series of exponential? $\displaystyle e^{-x^2}=\sum_{n=1}^{\infty}c_n e^{-nx}$

legendre solution for non homogenous equation

Closed Forms for Sums of Legendre Polynomials

Calculating the behaviour of an integral with Legendre polynomials of large order

Investigating the numerical accuracy of a truncated Legendre polynomial expansion of an unknown function

Is it possible to prove orthogonal form of integral of legendre polynomial solely from legendre's differential equation without using anything?

Finding $l$ such that the Legendre differential equation has a polynomial solution

Morse and Fesbach identity $\sum_{n=0}^{\infty} e^{-(n+\frac{1}{2})|u|} \; P_n(x) =(2\cosh u - 2x)^{-1/2}$

Multidimensional Legendre polynomials?

Is the Gram-Schmidt Orthogonalization process for functions the same as it is for vectors?

Calculation for negative integer order Associated Legendre Function

Integral of product of Legendre polynomial and exponential function

Integral containing Associated Legendre Polynomials

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