An unorthodox entire function

Lingua machinae - an unorthodox proposal

Voice User Interfaces (VUI) are slowly emerging into today’s IT applications. A decade ago, members of the speech science community (as well as market analysts) predicted a much faster growth of commercial VUI usage and are now wondering why the acceptance was so moderate during the last five years. One reasons for this is certainly the difficult economic situation since the crash of the new te...

An Entire Function with Simply and Multiply Connected Wandering Domains

We modify a construction of Kisaka and Shishikura to show that there exists an entire function f which has both a simply connected and a multiply connected wandering domain. Moreover, these domains are contained in the set A(f) consisting of the points where the iterates of f tend to infinity fast. The results answer questions by Rippon and Stallard.

On Relations among Some Constants of an Entire Function

If Piz) is an entire function of order p, it is known that (1) M, m are its type and co-type, in case/ happens to be the rank (or position) function of the maximum term of the Maclaurin series of P (see Chapter II of [l] and Chapter II of [2]) and that (2) M and m are the logarithmic type and co-type of P, if fix) is the number of zeroes z of Piz) such that \z\ ^x (see Jensen's Theorem, Chapter...

Sums of an Entire Function in Certain Weighted L-spaces

A property of the derivative of an entire function

We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set. MSC 2010: 30D30.