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Proving Stability of a Function of Laguerre Polynomials

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#derivatives #stability-theory #laguerre-polynomials
26
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Limiting distribution of generalized derangement

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#integration #limits #probability-theory #derangements #laguerre-polynomials
482
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Rodrigues' Formula for Laguerre equation

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#ordinary-differential-equations #polynomials #special-functions #orthogonal-polynomials #laguerre-polynomials
47
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Can someone help with step by step method of finding the normalization constant of this wave function?

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#calculus #improper-integrals #hypergeometric-function #constants #laguerre-polynomials
145
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How to expand the product of Laguerre polynomials into a sum of series？

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#summation #power-series #laguerre-polynomials
99
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Proof of an equation with the aid of Laguerre functions?

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#combinatorics #power-series #generating-functions #binomial-theorem #laguerre-polynomials
410
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Can an associated Laguerre polynomial be expressed in terms of a Bessel function of the first kind $J_a$?

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#bessel-functions #laguerre-polynomials
266
Views

Quadrature for logarithmic weight: $ \int_0^1 f(x) x \log x\, dx.$

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#integration #numerical-methods #laguerre-polynomials
279
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Computing the normalisation constant of the Laguerre polynomials

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#real-analysis #calculus #integration #polynomials #laguerre-polynomials
715
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Construct First 3 Orthogonal Polynomials with Gram-Schmidt

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#polynomials #orthogonal-polynomials #gram-schmidt #laguerre-polynomials
153
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Prove that the sequence of Laguerre polynomials is total

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#functional-analysis #banach-spaces #inner-products #laguerre-polynomials
167
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proving orthogonality of associated Laguerre polynomial using Generating function

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#laguerre-polynomials
65
Views

How is the relation between the general Laguerre Differential equation and associated Laguerre differential equation deduced?

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#calculus #ordinary-differential-equations #laguerre-polynomials
135
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Simple Identity for Derivative of Laguerre Polynomial

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#solution-verification #orthogonal-polynomials #laguerre-polynomials
75
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Combinatorial problem: triple binomial product related to squared Laguerre polynomials

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#combinatorics #binomial-coefficients #special-functions #mathematical-physics #laguerre-polynomials

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