Weighted \(L^2\)-norms of Gegenbauer polynomials
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Publication:2156071
DOI10.1007/s00010-022-00871-9OpenAlexW4213208722MaRDI QIDQ2156071
Johann S. Brauchart, Peter J. Grabner
Publication date: 15 July 2022
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.08303
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Generalized hypergeometric series, ({}_pF_q) (33C20)
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Cites Work
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- Energy and discrepancy of rotationally invariant determinantal point processes in high dimensional spheres
- The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
- General expansion for period maps of Riemann surfaces
- Hyperuniform point sets on the sphere: probabilistic aspects
- A quantitative central limit theorem for the Euler-Poincaré characteristic of random spherical eigenfunctions
- On the \(L^2\)-norm of Gegenbauer polynomials
- Approximation to uniform distribution in \(\mathrm{SO}(3)\)
- Stolarsky's invariance principle for projective spaces
- The spherical ensemble and uniform distribution of points on the sphere
- Spherical harmonics
- The special functions and their approximations. Vol. I, II
- Singularity Analysis of Generating Functions
- Evaluation of integrals involving powers of (1-x2) and two associated Legendre functions or Gegenbauer polynomials
- Some integrals involving associated Legendre functions and Gegenbauer polynomials
- Some Integrals Involving Associated Legendre Functions
- Sums of Distances Between Points on a Sphere. II
- Discrete Energy on Rectifiable Sets
- Linearization and connection formulae involving squares of Gegenbauer polynomials
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