EN
NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS
Abstract
Complex-valued harmonic functions that are univalent and sense-preserving in the unit disk D can be written in the form f = h + ¯g, where h and g are analytic in D. We give some inequalities for normalized harmonic functions that are starlike.
Keywords
References
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- Duren, P., Harmonic Mappings in the Plane, Cambridge Tracts in Mathematics, vol. 156, Cambridge University Press, Cambridge, 2004. MR 2048384 (2005d:31001)
- Goodman, A.W., Univalent Functions. Vol. I and Vol. II, Mariner Publishing Co. Inc., Tampa, FL, 1983. MR 704183 (85j:30035a)
- Sheil-Small, T., Constants for planar harmonic mappings, J. London Math. Soc. (2) 42 (1990), 237- 248. MR 1083443 (91k:30052)
Details
Primary Language
English
Subjects
-
Journal Section
-
Publication Date
June 1, 2014
Submission Date
-
Acceptance Date
-
Published in Issue
Year 2014 Volume: 4 Number: 1
APA
Duman, M. Y., & Owa, S. (2014). NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS. TWMS Journal of Applied and Engineering Mathematics, 4(1), 20-26. https://izlik.org/JA57CA57DE
AMA
1.Duman MY, Owa S. NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS. JAEM. 2014;4(1):20-26. https://izlik.org/JA57CA57DE
Chicago
Duman, M. Yavuz, and S. Owa. 2014. “NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS”. TWMS Journal of Applied and Engineering Mathematics 4 (1): 20-26. https://izlik.org/JA57CA57DE.
EndNote
Duman MY, Owa S (June 1, 2014) NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS. TWMS Journal of Applied and Engineering Mathematics 4 1 20–26.
IEEE
[1]M. Y. Duman and S. Owa, “NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS”, JAEM, vol. 4, no. 1, pp. 20–26, June 2014, [Online]. Available: https://izlik.org/JA57CA57DE
ISNAD
Duman, M. Yavuz - Owa, S. “NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS”. TWMS Journal of Applied and Engineering Mathematics 4/1 (June 1, 2014): 20-26. https://izlik.org/JA57CA57DE.
JAMA
1.Duman MY, Owa S. NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS. JAEM. 2014;4:20–26.
MLA
Duman, M. Yavuz, and S. Owa. “NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS”. TWMS Journal of Applied and Engineering Mathematics, vol. 4, no. 1, June 2014, pp. 20-26, https://izlik.org/JA57CA57DE.
Vancouver
1.M. Yavuz Duman, S. Owa. NOTES ON CERTAIN HARMONIC STARLIKE MAPPINGS. JAEM [Internet]. 2014 Jun. 1;4(1):20-6. Available from: https://izlik.org/JA57CA57DE