Generalised class of starlike functions of Koebe type with complex order
In this paper, we investigate some results on subordination, superordination, best dominant result and the sandwich theorem of the new class Hb , , of analytic functions with Koebe type. Further, by making use of Jack’s Lemma as well as several differential and other inequalities, suff...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Penerbit Universiti Kebangsaan Malaysia
2017
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| Online Access: | http://journalarticle.ukm.my/11938/ http://journalarticle.ukm.my/11938/ http://journalarticle.ukm.my/11938/1/jqma-13-1-paper1.pdf |
| Summary: | In this paper, we investigate some results on subordination, superordination, best dominant
result and the sandwich theorem of the new class
Hb , ,
of analytic functions with
Koebe type. Further, by making use of Jack’s Lemma as well as several differential and other
inequalities, sufficient condition for starlikeness of the class
Hb , ,
of n-fold symmetric
analytic functions of Koebe type is derived. Relevant connections of the results presented here
with those given in earlier works are also indicated. |
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