Interlacing properties and bounds for zeros of \({}_2\phi_1\) hypergeometric and little \(q\)-Jacobi polynomials

DOI10.1007/s11139-015-9709-5zbMath1335.33002OpenAlexW1590479021MaRDI QIDQ276609

Priyabrat Gochhayat, Kerstin Jordaan, Anbhu Swaminathan, Kondooru Raghavendar

Publication date: 4 May 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-015-9709-5

zbMATH Keywords

orthogonal polynomialszeroslittle \(q\)-Jacobi polynomialsbasic hypergeometric seriesinterlacing of zerosbounds for zeros

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (6)

Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials ⋮ Mixed recurrence equations and interlacing properties for zeros of sequences of classical \(q\)-orthogonal polynomials ⋮ Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences ⋮ Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials ⋮ Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials ⋮ Certain \(q\)-series identities and applications to lecture hall type partitions

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