Interlacing of the zeros of contiguous hypergeometric functions

DOI10.1007/s11075-008-9211-xzbMath1171.33008OpenAlexW2056477932MaRDI QIDQ1014771

Javier Segura

Publication date: 29 April 2009

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9211-x

zbMATH Keywords

zeroshypergeometric functionsinterlacingfirst order DDEs

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Linear functional-differential equations (34K06) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (9)

Zeros of quasi-orthogonal Jacobi polynomials ⋮ Zeros of pseudo-ultraspherical polynomials ⋮ Asymptotic computation of classical orthogonal polynomials ⋮ Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences ⋮ Interlacing of zeros of Gegenbauer polynomials of non-consecutive degree from different sequences ⋮ Zeros of Orthogonal Polynomials ⋮ Mixed recurrence relations and interlacing of the zeros of some \(q\)-orthogonal polynomials from different sequences ⋮ Interlacing of zeros of orthogonal polynomials under modification of the measure ⋮ Common and interlacing zeros of families of Laguerre~polynomials

Uses Software

• SumTools

Cites Work

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• New inequalities from classical Sturm theorems
• Separation theorems for the zeros of certain hypergeometric polynomials
• On the zeros and turning points of special functions.
• Contiguous relations of hypergeometric series
• Computing the real zeros of hypergeometric functions
• Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
• On the Square of the Zeros of Bessel Functions
• Computing the Zeros and Turning Points of Solutions of Second Order Homogeneous Linear ODEs
• The Zeros of Special Functions from a Fixed Point Method
• Numerical Methods for Special Functions

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