ABSTRACT
V. Nestoridis conjectured that if Ω is a simply connected domain of that does not contain 0 and
is the set of all functions
with the property that the set
is dense in
, then
is a dense
set in
. We answer the conjecture in the affirmative in the special case where Ω is an open disc
that does not contain 0.
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Acknowledgments
I would like to thank V. Nestoridis, E. Archer and G. Vasdekis for taking interest in this work. I would also like to thank E. Katsoprinakis and the anonymous referees for their suggestions and comments.
Disclosure statement
No potential conflict of interest was reported by the author.