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- Title
Some Janowski Type Harmonic q-Starlike Functions Associated with Symmetrical Points.
- Authors
Arif, Muhammad; Barkub, Omar; Srivastava, Hari Mohan; Abdullah, Saleem; Khan, Sher Afzal
- Abstract
The motive behind this article is to apply the notions of q-derivative by introducing some new families of harmonic functions associated with the symmetric circular region. We develop a new criterion for sense preserving and hence the univalency in terms of q-differential operator. The necessary and sufficient conditions are established for univalency for this newly defined class. We also discuss some other interesting properties such as distortion limits, convolution preserving, and convexity conditions. Further, by using sufficient inequality, we establish sharp bounds of the real parts of the ratios of harmonic functions to its sequences of partial sums. Some known consequences of the main results are also obtained by varying the parameters.
- Subjects
SYMMETRIC functions; STAR-like functions; HARMONIC functions; MATHEMATICAL convolutions; CONVEXITY spaces
- Publication
Mathematics (2227-7390), 2020, Vol 8, Issue 4, p629
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math8040629