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ZEROS OF A CERTAIN CLASS OF GAUSS HYPERGEOMETRIC POLYNOMIALS
Stockholm University, Faculty of Science, Department of Mathematics. Addis Ababa University, Ethiopia.
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 22018 (English)In: Czechoslovak Mathematical Journal, ISSN 0011-4642, E-ISSN 1572-9141, Vol. 68, no 4, p. 1021-1031Article in journal (Refereed) Published
Abstract [en]

We prove that as n -> infinity, the zeros of the polynomial F-2(1) 9-n, (an + 2) (an + 1) ; z] cluster on (a part of) a level curve of an explicit harmonic function. This generalizes previous results of Boggs, Driver, Duren et al. (1999-2001) to the case of a complex parameter alpha and partially proves a conjecture made by the authors in an earlier work.

Place, publisher, year, edition, pages
2018. Vol. 68, no 4, p. 1021-1031
Keywords [en]
asymptotic zero-distribution, hypergeometric polynomial, saddle point method
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-163596DOI: 10.21136/CMJ.2018.0055-17ISI: 000451778500009OAI: oai:DiVA.org:su-163596DiVA, id: diva2:1277875
Available from: 2019-01-11 Created: 2019-01-11 Last updated: 2019-01-11Bibliographically approved

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