A class of analytic functions related to convexity and functions with bounded turning

In this paper, we define a new subclass k-Q(α) of analytic functions, which generalizes the class of k-uniformly convex functions. Various interesting relationships between k-Q(α) and the class B(δ) of functions with bounded turning are derived.

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Bibliographic Details
Published inAIMS mathematics Vol. 5; no. 3; pp. 1926 - 1935
Main Authors Wang, Zhi-Gang, Naeem, M., Hussain, S., Mahmood, T., Rasheed, A.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
analytic functions
convex functions
functions with bounded turning
subordination
uniformly convex functions
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ISSN2473-6988
2473-6988
DOI10.3934/math.2020128

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Summary:In this paper, we define a new subclass k-Q(α) of analytic functions, which generalizes the class of k-uniformly convex functions. Various interesting relationships between k-Q(α) and the class B(δ) of functions with bounded turning are derived.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020128