On a problem of hellerstein shen and williamson

A. Hinkkanen, J. Rossi

Research output: Contribution to journalArticlepeer-review

Abstract

Suppose that ⨍ is a nonentire transcendental meromorphic function, real on the real axis, such that ⨍ and ⨍' have only real zeros and poles, and ⨍' omits a nonzero value. Confirming a conjecture of Hellerstein, Shen and Williamson, it is shown that then⨍is essentially⨍(z) = tanz - Bz - C for suitable values of B and C.

Original languageEnglish (US)
Pages (from-to)72-74
Number of pages3
JournalProceedings of the American Mathematical Society
Volume92
Issue number1
DOIs
StatePublished - Sep 1984
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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