Nicks, Daniel
(2009).
*S* and *B*.*Computational Methods and Function Theory*, 9(1) pp. 239–253.

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URL: | http://www.heldermann.de/CMF/CMF09/CMF091/cmf09016... |
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## Abstract

Let *f* be transcendental and meromorphic in the plane of finite lower order with a bounded set of finite critical and asymptotic values. It is shown that a rational deficient function of any derivative of *f* is zero at infinity. If instead *f* has arbitrary order and a finite set of critical and asymptotic values, then any rational deficient function of *f*' must have a multiple zero at infinity. Furthermore, if such *f* has finite lower order then *f*' admits no rational deficient functions other than 0.

Item Type: | Journal Article |
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Copyright Holders: | 2009 Heldermann Verlag |

ISSN: | 1617-9447 |

Keywords: | Meromorphic function; Nevanlinna deficiency; singularities; inverse function |

Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology |

Item ID: | 22674 |

Depositing User: | Daniel Nicks |

Date Deposited: | 04 Aug 2010 11:19 |

Last Modified: | 26 Feb 2016 06:24 |

URI: | http://oro.open.ac.uk/id/eprint/22674 |

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