Asymptotic growth of Hermite series and an application to the theory of the Riemann zeta function
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Publication:678732
DOI10.1007/BF03322153zbMath0871.11053MaRDI QIDQ678732
Publication date: 1 October 1997
Published in: Results in Mathematics (Search for Journal in Brave)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)
Cites Work
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- Norm estimates for \((C,\delta)\) means of Hermite expansions and bounds for \(\delta_{eff}\)
- Classical Fourier transforms
- Asymptotic Solutions of Differential Equations with Transition Points or Singularities
- Mean Convergence of Expansions in Laguerre and Hermite Series
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