Asymptotic distribution of the zeros of a certain family of generalized hypergeometric polynomials
DOI10.1080/00036811.2023.2300396zbMATH Open1548.33005MaRDI QIDQ6608449
Heng Li, Yongzhi Xu, Jianrong Zhou
Publication date: 19 September 2024
Published in: Applicable Analysis (Search for Journal in Brave)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Real polynomials: location of zeros (26C10) Generalized hypergeometric series, ({}_pF_q) (33C20)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Riemann--Hilbert analysis for Jacobi polynomials orthogonal on a single contour
- Polynomial solutions of differential-difference equations
- Separation theorems for the zeros of certain hypergeometric polynomials
- An integral representation of some hypergeometric functions
- Pólya frequency sequences and real zeros of some \(_3F_2\) polynomials
- Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials
- The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients
- Asymptotic zero distribution of a class of \(_{3}F_{2}\) hypergeometric functions
- Zeros of hypergeometric functions
- Zeros of \(_3F_2\left(\begin{smallmatrix}-n,b,c\\ d,e\end{smallmatrix};z\right)\) polynomials
- Incomplete rational approximation in the complex plane
- Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences
- Strong asymptotics for Jacobi polynomials with varying nonstandard parameters
- Generalized hypergeometric series.
- Asymptotic distributions of the zeros of a family of hypergeometric polynomials
- Asymptotic distributions of the zeros of certain classes of hypergeometric functions and polynomials
- Zeros of the hypergeometric polynomials \(F(-n,b;2b;z)\)
- Zeros of hypergeometric polynomials \(F(-n,b;-2n;z)\)
- Asymptotic properties of zeros of hypergeometric polynomials
- An Infinite Asymptotic Expansion for the Extreme Zeros of the Pollaczek Polynomials
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