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Calculation for negative integer order Associated Legendre Function

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#special-functions #hypergeometric-function #legendre-polynomials #legendre-functions
87
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Does Associated Legendre Function of Second Kind Give Delta Function?

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#ordinary-differential-equations #dirac-delta #singularity #legendre-functions
198
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Showing a summation identity for $1$, possibly tied to Legendre polynomials

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#integration #sequences-and-series #fourier-series #legendre-polynomials #legendre-functions
102
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Derivation of the relation between Associated Legendre Function and Gauss Hypergeometric Function

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#special-functions #gamma-function #hypergeometric-function #legendre-functions
421
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Legendre Polynomials proving a relation using Rodrigue's Formula

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#ordinary-differential-equations #differential #legendre-polynomials #legendre-functions
80
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Convergence of a serie to obtain the eigenvalues of general Legendre operator

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#sequences-and-series #ordinary-differential-equations #convergence-divergence #power-series #legendre-functions
66
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Is this task impossible?

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#linear-algebra #partial-differential-equations #legendre-functions
60
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How to find the associated Legendre functions

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#ordinary-differential-equations #legendre-functions
60
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Deriving normalization for the shifted associated Legendre function

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#orthogonality #legendre-polynomials #legendre-functions
149
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Prove $1+\sum_{k=1}^{p} \frac{(-1)^k.n(n-1)(n-2)\cdots(n-2k+1)}{2^k.k!.(2n-1)(2n-3)\cdots(2n-2k+1)}=\frac{2^n(n!)^2}{(2n)!}$

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#sequences-and-series #legendre-polynomials #legendre-functions
205
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How can I derive the Legendre function of first kind in terms of the hypergeometric function?

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#ordinary-differential-equations #derivatives #special-functions #hypergeometric-function #legendre-functions
92
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Series of Legendre Polynomials and Harmonic numbers. $\sum_{n=1}^{\infty} P_n (z) \frac{H(n)}{n+k}$

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#sequences-and-series #legendre-polynomials #legendre-functions
103
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Finding the Legendre Polynomial formula from the Legendre equation

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#special-functions #legendre-polynomials #legendre-functions
201
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Series involving product of Legendre polynomials

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#sequences-and-series #functional-analysis #analysis #legendre-polynomials #legendre-functions
456
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How to calculate the integral of a Legendre polynomial

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#integration #definite-integrals #legendre-polynomials #spherical-harmonics #legendre-functions

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