{
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  "Version": "1.0-6.1",
  "Date": "2022-05-06",
  "Title": "Collection of Functions for Orthogonal and Orthonormal\nPolynomials",
  "Author": "Frederick Novomestky <fnovomes@poly.edu>",
  "Maintainer": "Frederick Novomestky <fnovomes@poly.edu>",
  "Description": "A collection of functions to construct sets of orthogonal\npolynomials and their recurrence relations. Additional\nfunctions are provided to calculate the derivative, integral,\nvalue and roots of lists of polynomial objects.",
  "License": "GPL (>= 2)",
  "NeedsCompilation": "no",
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    "User": "root"
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    "chebyshev.t.recurrences",
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    "chebyshev.u.inner.products",
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    "chebyshev.u.recurrences",
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    "gegenbauer.inner.products",
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    "pochhammer",
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    "polynomial.integrals",
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    "slegendre.recurrences",
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    "spherical.polynomials",
    "spherical.recurrences",
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    "ultraspherical.recurrences",
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      "page": "chebyshev.c.inner.products",
      "title": "Inner products of Chebyshev polynomials",
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      "page": "chebyshev.c.polynomials",
      "title": "Create list of Chebyshev polynomials",
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    {
      "page": "chebyshev.c.recurrences",
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      "topics": [
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    },
    {
      "page": "chebyshev.t.weight",
      "title": "Weight function for the Chebyshev polynomial",
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    {
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      "title": "Inner products of Chebyshev polynomials",
      "topics": [
        "chebyshev.u.inner.products"
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    },
    {
      "page": "chebyshev.u.polynomials",
      "title": "Create list of Chebyshev polynomials",
      "topics": [
        "chebyshev.u.polynomials"
      ]
    },
    {
      "page": "chebyshev.u.recurrences",
      "title": "Recurrence relations for Chebyshev polynomials",
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    },
    {
      "page": "chebyshev.u.weight",
      "title": "Weight function for the Chebyshev polynomial",
      "topics": [
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      ]
    },
    {
      "page": "gegenbauer.inner.products",
      "title": "Inner products of Gegenbauer polynomials",
      "topics": [
        "gegenbauer.inner.products"
      ]
    },
    {
      "page": "gegenbauer.polynomials",
      "title": "Create list of Gegenbauer polynomials",
      "topics": [
        "gegenbauer.polynomials"
      ]
    },
    {
      "page": "gegenbauer.recurrences",
      "title": "Recurrence relations for Gegenbauer polynomials",
      "topics": [
        "gegenbauer.recurrences"
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    },
    {
      "page": "gegenbauer.weight",
      "title": "Weight function for the Gegenbauer polynomial",
      "topics": [
        "gegenbauer.weight"
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    },
    {
      "page": "ghermite.h.inner.products",
      "title": "Inner products of generalized Hermite polynomials",
      "topics": [
        "ghermite.h.inner.products"
      ]
    },
    {
      "page": "ghermite.h.polynomials",
      "title": "Create list of generalized Hermite polynomials",
      "topics": [
        "ghermite.h.polynomials"
      ]
    },
    {
      "page": "ghermite.h.recurrences",
      "title": "Recurrence relations for generalized Hermite polynomials",
      "topics": [
        "ghermite.h.recurrences"
      ]
    },
    {
      "page": "ghermite.h.weight",
      "title": "Weight function for the generalized Hermite polynomial",
      "topics": [
        "ghermite.h.weight"
      ]
    },
    {
      "page": "glaguerre.inner.products",
      "title": "Inner products of generalized Laguerre polynomials",
      "topics": [
        "glaguerre.inner.products"
      ]
    },
    {
      "page": "glaguerre.polynomials",
      "title": "Create list of generalized Laguerre polynomials",
      "topics": [
        "glaguerre.polynomials"
      ]
    },
    {
      "page": "glaguerre.recurrences",
      "title": "Recurrence relations for generalized Laguerre polynomials",
      "topics": [
        "glaguerre.recurrences"
      ]
    },
    {
      "page": "glaguerre.weight",
      "title": "Weight function for the generalized Laguerre polynomial",
      "topics": [
        "glaguerre.weight"
      ]
    },
    {
      "page": "hermite.h.inner.products",
      "title": "Inner products of Hermite polynomials",
      "topics": [
        "hermite.h.inner.products"
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    },
    {
      "page": "hermite.h.polynomials",
      "title": "Create list of Hermite polynomials",
      "topics": [
        "hermite.h.polynomials"
      ]
    },
    {
      "page": "hermite.h.recurrences",
      "title": "Recurrence relations for Hermite polynomials",
      "topics": [
        "hermite.h.recurrences"
      ]
    },
    {
      "page": "hermite.h.weight",
      "title": "Weight function for the Hermite polynomial",
      "topics": [
        "hermite.h.weight"
      ]
    },
    {
      "page": "hermite.he.inner.products",
      "title": "Inner products of Hermite polynomials",
      "topics": [
        "hermite.he.inner.products"
      ]
    },
    {
      "page": "hermite.he.polynomials",
      "title": "Create list of Hermite polynomials",
      "topics": [
        "hermite.he.polynomials"
      ]
    },
    {
      "page": "hermite.he.recurrences",
      "title": "Recurrence relations for Hermite polynomials",
      "topics": [
        "hermite.he.recurrences"
      ]
    },
    {
      "page": "hermite.he.weight",
      "title": "Weight function for the Hermite polynomial",
      "topics": [
        "hermite.he.weight"
      ]
    },
    {
      "page": "jacobi.g.inner.products",
      "title": "Inner products of Jacobi polynomials",
      "topics": [
        "jacobi.g.inner.products"
      ]
    },
    {
      "page": "jacobi.g.polynomials",
      "title": "Create list of Jacobi polynomials",
      "topics": [
        "jacobi.g.polynomials"
      ]
    },
    {
      "page": "jacobi.g.recurrences",
      "title": "Recurrence relations for Jacobi polynomials",
      "topics": [
        "jacobi.g.recurrences"
      ]
    },
    {
      "page": "jacobi.g.weight",
      "title": "Weight function for the Jacobi polynomial",
      "topics": [
        "jacobi.g.weight"
      ]
    },
    {
      "page": "jacobi.matrices",
      "title": "Create list of Jacobi matrices from monic recurrence parameters",
      "topics": [
        "jacobi.matrices"
      ]
    },
    {
      "page": "jacobi.p.inner.products",
      "title": "Inner products of Jacobi polynomials",
      "topics": [
        "jacobi.p.inner.products"
      ]
    },
    {
      "page": "jacobi.p.polynomials",
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      "topics": [
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    {
      "page": "jacobi.p.recurrences",
      "title": "Recurrence relations for Jacobi polynomials",
      "topics": [
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    },
    {
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      "title": "Weight function for the Jacobi polynomial",
      "topics": [
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      ]
    },
    {
      "page": "laguerre.inner.products",
      "title": "Inner products of Laguerre polynomials",
      "topics": [
        "laguerre.inner.products"
      ]
    },
    {
      "page": "laguerre.polynomials",
      "title": "Create list of Laguerre polynomials",
      "topics": [
        "laguerre.polynomials"
      ]
    },
    {
      "page": "laguerre.recurrences",
      "title": "Recurrence relations for Laguerre polynomials",
      "topics": [
        "laguerre.recurrences"
      ]
    },
    {
      "page": "laguerre.weight",
      "title": "Weight function for the Laguerre polynomial",
      "topics": [
        "laguerre.weight"
      ]
    },
    {
      "page": "legendre.inner.products",
      "title": "Inner products of Legendre polynomials",
      "topics": [
        "legendre.inner.products"
      ]
    },
    {
      "page": "legendre.polynomials",
      "title": "Create list of Legendre polynomials",
      "topics": [
        "legendre.polynomials"
      ]
    },
    {
      "page": "legendre.recurrences",
      "title": "Recurrence relations for Legendre polynomials",
      "topics": [
        "legendre.recurrences"
      ]
    },
    {
      "page": "legendre.weight",
      "title": "Weight function for the Legendre polynomial",
      "topics": [
        "legendre.weight"
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    },
    {
      "page": "lpochhammer",
      "title": "Calculate the logarithm of Pochhammer's symbol",
      "topics": [
        "lpochhammer"
      ]
    },
    {
      "page": "monic.polynomial.recurrences",
      "title": "Create data frame of monic recurrences",
      "topics": [
        "monic.polynomial.recurrences"
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    },
    {
      "page": "monic.polynomials",
      "title": "Create list of monic orthogonal polynomials",
      "topics": [
        "monic.polynomials"
      ]
    },
    {
      "page": "orthogonal.polynomials",
      "title": "Create orthogonal polynomials",
      "topics": [
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      ]
    },
    {
      "page": "orthonormal.polynomials",
      "title": "Create orthonormal polynomials",
      "topics": [
        "orthonormal.polynomials"
      ]
    },
    {
      "page": "pochhammer",
      "title": "Calculate the value of Pochhammer's symbol",
      "topics": [
        "pochhammer"
      ]
    },
    {
      "page": "polynomial.coefficients",
      "title": "Create list of polynomial coefficient vectors",
      "topics": [
        "polynomial.coefficients"
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    },
    {
      "page": "polynomial.derivatives",
      "title": "Create list of polynomial derivatives",
      "topics": [
        "polynomial.derivatives"
      ]
    },
    {
      "page": "polynomial.functions",
      "title": "Coerce polynomials to functions",
      "topics": [
        "polynomial.functions"
      ]
    },
    {
      "page": "polynomial.integrals",
      "title": "Create list of polynomial integrals",
      "topics": [
        "polynomial.integrals"
      ]
    },
    {
      "page": "polynomial.orders",
      "title": "Create vector of polynomial orders",
      "topics": [
        "polynomial.orders"
      ]
    },
    {
      "page": "polynomial.powers",
      "title": "Create a list of polynomial linear combinations",
      "topics": [
        "polynomial.powers"
      ]
    },
    {
      "page": "polynomial.roots",
      "title": "Create a list of polynomial roots",
      "topics": [
        "polynomial.roots"
      ]
    },
    {
      "page": "polynomial.values",
      "title": "Create vector of polynomial values",
      "topics": [
        "polynomial.values"
      ]
    },
    {
      "page": "scaleX",
      "title": "Scale values from [a,b] to [u.v]",
      "topics": [
        "scaleX"
      ]
    },
    {
      "page": "schebyshev.t.inner.products",
      "title": "Inner products of shifted Chebyshev polynomials",
      "topics": [
        "schebyshev.t.inner.products"
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    },
    {
      "page": "schebyshev.t.polynomials",
      "title": "Create list of shifted Chebyshev polynomials",
      "topics": [
        "schebyshev.t.polynomials"
      ]
    },
    {
      "page": "schebyshev.t.recurrences",
      "title": "Recurrence relations for shifted Chebyshev polynomials",
      "topics": [
        "schebyshev.t.recurrences"
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    },
    {
      "page": "schebyshev.t.weight",
      "title": "Weight function for the shifted Chebyshev polynomial",
      "topics": [
        "schebyshev.t.weight"
      ]
    },
    {
      "page": "schebyshev.u.inner.products",
      "title": "Inner products of shifted Chebyshev polynomials",
      "topics": [
        "schebyshev.u.inner.products"
      ]
    },
    {
      "page": "schebyshev.u.polynomials",
      "title": "Create list of shifted Chebyshev polynomials",
      "topics": [
        "schebyshev.u.polynomials"
      ]
    },
    {
      "page": "schebyshev.u.recurrences",
      "title": "Recurrence relations for shifted Chebyshev polynomials",
      "topics": [
        "schebyshev.u.recurrences"
      ]
    },
    {
      "page": "schebyshev.u.weight",
      "title": "Weight function for the shifted Chebyshev polynomial",
      "topics": [
        "schebyshev.u.weight"
      ]
    },
    {
      "page": "slegendre.inner.products",
      "title": "Inner products of shifted Legendre polynomials",
      "topics": [
        "slegendre.inner.products"
      ]
    },
    {
      "page": "slegendre.polynomials",
      "title": "Create list of shifted Legendre polynomials",
      "topics": [
        "slegendre.polynomials"
      ]
    },
    {
      "page": "slegendre.recurrences",
      "title": "Recurrence relations for shifted Legendre polynomials",
      "topics": [
        "slegendre.recurrences"
      ]
    },
    {
      "page": "slegendre.weight",
      "title": "Weight function for the shifted Legendre polynomial",
      "topics": [
        "slegendre.weight"
      ]
    },
    {
      "page": "spherical.inner.products",
      "title": "Inner products of spherical polynomials",
      "topics": [
        "spherical.inner.products"
      ]
    },
    {
      "page": "spherical.polynomials",
      "title": "Create list of spherical polynomials",
      "topics": [
        "spherical.polynomials"
      ]
    },
    {
      "page": "spherical.recurrences",
      "title": "Recurrence relations for spherical polynomials",
      "topics": [
        "spherical.recurrences"
      ]
    },
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