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Close-to-Convexity of Convolutions of Classes of Harmonic Functions
Joint Authors
M. Jahangiri, Jay
Garg, Raj Kumar
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-02
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
For j=1,2 and for positive integers m and n, we consider classes of harmonic functions fj=hj+gj¯, where g1(z)=znh1(z) and g2′(z)=znh2′(z) or g1′(z)=znh1′(z) and g2′(z)=zmh2′(z), and we prove that their convolution f1⁎f2=h1⁎h2+g1⁎g2¯ is locally one-to-one, sense-preserving, and close-to-convex harmonic in z<1.
American Psychological Association (APA)
Garg, Raj Kumar& M. Jahangiri, Jay. 2018. Close-to-Convexity of Convolutions of Classes of Harmonic Functions. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-4.
https://search.emarefa.net/detail/BIM-1173458
Modern Language Association (MLA)
Garg, Raj Kumar& M. Jahangiri, Jay. Close-to-Convexity of Convolutions of Classes of Harmonic Functions. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-4.
https://search.emarefa.net/detail/BIM-1173458
American Medical Association (AMA)
Garg, Raj Kumar& M. Jahangiri, Jay. Close-to-Convexity of Convolutions of Classes of Harmonic Functions. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-4.
https://search.emarefa.net/detail/BIM-1173458
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173458