TY - JOUR
T1 - On a problem of hellerstein shen and williamson
AU - Hinkkanen, A.
AU - Rossi, J.
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1984/9
Y1 - 1984/9
N2 - 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.
AB - 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.
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U2 - 10.1090/S0002-9939-1984-0749894-1
DO - 10.1090/S0002-9939-1984-0749894-1
M3 - Article
AN - SCOPUS:84968497555
SN - 0002-9939
VL - 92
SP - 72
EP - 74
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 1
ER -