On α-close-to-convex functions

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 May 1979 English Publisher:Springer Science and Business Media LLCJournal:Proceedings of the Indian Academy of Sciences - Section A, volume 88, pages 93-103 (issn: 0370-0089,

Copyright policy )

Authors: R Bharati;

doi: 10.1007/bf02871606

On α-close-to-convex functions

- Summary
- Metrics

Abstract

LetP(α) denote the class of functionsf analytic in the unit discE, withf(0)=0,f(z)≠0 (0 - \pi $$ whenever 0≤θ1≤θ2≤θ1+2π,z=reiθ r<1 and α is any positive real number. The functions inP(α) unify the classes of close-to-starlike (α=0) and close-to-convex (α=1) functions. We callf∈P(α) and α-close-to-convex function. In this paper we investigate certain properties of the classP(α).

Related Organizations

University of Madras
India

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

0

Average

Fields of Science

Fields of Science

Upload OA version

Are you the author of this publication? Upload your Open Access version to Zenodo!

It’s fast and easy, just two clicks!

uploadUpload now