p-Subordination chains and p-valence integral operators

Deniz E., ORHAN H., Caglar M.

TURKISH JOURNAL OF MATHEMATICS, vol.41, no.4, pp.956-968, 2017 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.3906/mat-1505-9
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.956-968
  • Ataturk University Affiliated: Yes

Abstract

In the present investigation we obtain some sufficient conditions for the analyticity and the p-valence of an integral operator in the unit disk D. Using these conditions we give some applications for a few different integral operators. The significant relationships and relevance to other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.