The Range of a Gap Series
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 753-754
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Theorem. Letbe a function holomorphic in the disk, wherep is a natural number andIfthen then f(z) assumes every complex value infinitely often in every sector.The purpose of this note is to prove the above result. To do this, we first observe that from the condition a<∞, we can easily show that the derivative f′(z) satisfying
Hwang, J. S. The Range of a Gap Series. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 753-754. doi: 10.4153/CMB-1975-130-7
@article{10_4153_CMB_1975_130_7,
author = {Hwang, J. S.},
title = {The {Range} of a {Gap} {Series}},
journal = {Canadian mathematical bulletin},
pages = {753--754},
year = {1975},
volume = {18},
number = {5},
doi = {10.4153/CMB-1975-130-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-130-7/}
}
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