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How one can reformulate the sentence: $T_{n}(x)/x$ is irreducible over the integers

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#number-theory #inequality #finite-fields #orthogonal-polynomials #primality-test
35
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Methods for numerically calculating families of ON polynomials given inner product?

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#linear-algebra #reference-request #numerical-methods #soft-question #orthogonal-polynomials
112
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Evaluate $\int^1_{-1} \frac{P_{l_1}^{m_1}(x)P_{l_2}^{m_2}(x)}{\sqrt{1-x^2}} dx$

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#integration #special-functions #orthogonal-polynomials #legendre-polynomials
207
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Prove a relation for Chebyshev polynomials

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#orthogonal-polynomials
1.3k
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Find the generating function of Chebyshev polynomials

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#orthogonal-polynomials
191
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Prove a relation of Laguerre polynomials

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#orthogonal-polynomials
277
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Polynomial basis - why orthogonal?

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#functional-analysis #polynomials #orthogonal-polynomials
192
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Notes on Hermite Polynomials

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#polynomials #reference-request #problem-solving #orthogonal-polynomials #hermite-polynomials
259
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Least square using orthogonal polynomial

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#linear-algebra #polynomials #numerical-methods #least-squares #orthogonal-polynomials
80
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Smallest root of a given polynomial when the degree tends to infinity

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#polynomials #asymptotics #roots #orthogonal-polynomials
121
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Chebyshev Polynomials of the first kind

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#orthogonal-polynomials #chebyshev-polynomials
196
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Orthogonality Lagrange basis

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#orthogonal-polynomials
81
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Orthogonal polynomial approximation of any function

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#polynomials #approximation #approximation-theory #orthogonal-polynomials #numerical-calculus
234
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High order (up to 4) derivatives of Chebyshev polynomials needed

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#derivatives #numerical-methods #orthogonal-polynomials
91
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A generalization of the Hermite polynomial: is there a name for this class of polynomials in the literature?

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#combinatorics #reference-request #terminology #orthogonal-polynomials #hermite-polynomials

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