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How to rearrange $py'' + (2l+2-2p)y' + 2(n-l-1)y = 0$ into $2py'' + (2l+2-2p)y' + (n-l-1)y = 0$?

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#ordinary-differential-equations #quantum-mechanics #laguerre-polynomials
51
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Give a lower bound of $h(x)=\sqrt{\frac{x}{4n-x}}g^2(x)+\sqrt{\frac{4n-x}{x}}f^2(x)$ on $[\frac{1}{n-1},4n-4]$.

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#ordinary-differential-equations #laguerre-polynomials
13
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Finding demonstration of a formula used for calculating Laguerre integrals

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#definite-integrals #laguerre-polynomials
52
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Approximate solution of the following integral

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#definite-integrals #complex-numbers #approximation #laguerre-polynomials
13
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Simple Laguerre polynomial for half-integer orders

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#laguerre-polynomials
20
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Limiting behavior of the associated Laguerre polynomial

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#special-functions #laguerre-polynomials
16
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Quantization Laguerre equation

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#ordinary-differential-equations #laguerre-polynomials #mirror-symmetry
304
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Recursion relation for the Laguerre polynomials

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#linear-algebra #binomial-coefficients #recursion #orthogonal-polynomials #laguerre-polynomials
289
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Laguerre Polynomial Termination

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#ordinary-differential-equations #convergence-divergence #orthogonal-polynomials #laguerre-polynomials
389
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Prove that $(-1)^n \text{Laguerre}_n(2) \leq 1$.

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#laguerre-polynomials
65
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Problem with orthogonalizing the Laguerre polynomials

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#orthogonal-polynomials #gram-schmidt #function-spaces #laguerre-polynomials
275
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Laguerre polynomial question

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#real-analysis #polynomials #special-functions #laguerre-polynomials
109
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Approximating integral involving associated Laguerre polynomial

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#integration #asymptotics #orthogonal-polynomials #laguerre-polynomials #semiclassical-analysis
376
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Integral relation between Hermite and Laguerre polynomials

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#integration #polynomials #hermite-polynomials #laguerre-polynomials
452
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How to prove the laguerre polynomial has n zero point?

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#calculus #laguerre-polynomials

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