Linear transform that preserve real roots of polynomials
DOI10.1007/S13324-024-00929-8zbMATH Open1540.33017MaRDI QIDQ6545471
Islem Saidani, Lazhar Dhaouadi
Publication date: 29 May 2024
Published in: Analysis and Mathematical Physics (Search for Journal in Brave)
zeros of polynomialsLaguerre-Pólya classvariation diminishing kernellinear transformations preserving real-rootedness
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Real polynomials: location of zeros (26C10) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Multiplier sequences for generalized Laguerre bases
- Variation diminishing Hankel transforms
- The q-analogue of the Laguerre polynomials
- Über zwei Arten von Faktorenfolgen in der Theorie der algebraischen Gleichungen.
- On \(q\)-definite integrals.
- Hermite polynomials
- The \textit{q-j}\(_\alpha\) Bessel function
- \(q\)-Macdonald function as a variation diminishing \({^\ast}_q\)-kernel
- Generalized harmonic analysis and wavelet packets
- Zeros of Transformed Polynomials
- On q-Analogues of the Fourier and Hankel Transforms
- An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
- Zeros of expansions in orthogonal polynomials
- On the $q$-Bessel Fourier transform
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