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The asymptotic zero-counting measure of iterated derivaties of a class of meromorphic functions
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 12019 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 57, no 1, p. 107-120Article in journal (Refereed) Published
Abstract [en]

We give an explicit formula for the logarithmic potential of the asymptotic zero-counting measure of the sequence {(d(n)/dz(n)) (R(z) expT(z))}(n=1)(infinity). Here, R(z) is a rational function with at least two poles, all of which are distinct, and T(z) is a polynomial. This is an extension of a recent measure-theoretic refinement of Polya's Shire theorem for rational functions.

Place, publisher, year, edition, pages
2019. Vol. 57, no 1, p. 107-120
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-176646DOI: 10.4310/ARKIV.2019.v57.n1.a6ISI: 000496261800006OAI: oai:DiVA.org:su-176646DiVA, id: diva2:1381589
Available from: 2019-12-23 Created: 2019-12-23 Last updated: 2019-12-23Bibliographically approved

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