Abstract
We introduce a new subclass of analytic and valent functions with negative coefficients. Coefficient theorem, distortion theorem and closure theorem of functions belonging to the class are determined. Also we obtain radius of convexity for Integral operators of functions belonging to the class are studied here. Furthermore the extreme points of are also determined.
References
- M. K. Aouf, Certain classes of p −valent functions with negative coefficients II, Indian J. Pure Appl. Math. 19 (8), (1988), 761-767.
- T. R. Caplinger, On certain classes of analytic functions, Ph. D. Thesis University of Mississipi, (1972).
- V. P. Gupta, P. K. Jain, On certain classes of univalent functions with negative coeffici- ents, Bull. Aust. Math. Soc. 15, (1976), 467-473.
- O. P. Juneja, M. L. Mogra, radius of convexity for certain classes of univalent analytic functions, Pasific Journal Math. 78, (1978), 359-368.
- S. R. Kulkarni, Some problems connected with univalent functions, Ph. D. Dissertation Shivaji University Kolhapur (1981).
- S. R. Kulkarni, M. K. Aouf, S. B. Joshi, On a subfamily of p −valent functions with negative coefficients, Math. Bech. 46 (1994), 71-75.
- G. S. Salagean, Subclass of univalent functions, Lecture Notes in Math. (springer- Verlag) 1013, (1983), 362-372.
- H. Orhan and H. Kiziltunç, A generalization on subfamily of p −valent functions with negative coefficients, Appl. Math. Comp. 155 (2004) 521-530.
Abstract
Bu makalede negative katsayılı valent analitik fonksiyonların ile gösterilen yeni bir sınıfı tanıtıldı. sınıfına ait fonksiyonlar için katsayı teoremi, distorsiyon teoremi ve kapanış teoremi belirlendi. Ayrıca sınıfı için konvekslik yarıçapı elde edildi. Bundan başka sınıfına ait fonksiyonların integral operatörleri çalışıldı. Bunlara ilave olarak sınıfının extreme noktaları belirlendi.
Keywords
Distorsiyon teoremi extreme noktaları analitik fonksiyon konvekslik yarıçapı Salagean operator
References
- M. K. Aouf, Certain classes of p −valent functions with negative coefficients II, Indian J. Pure Appl. Math. 19 (8), (1988), 761-767.
- T. R. Caplinger, On certain classes of analytic functions, Ph. D. Thesis University of Mississipi, (1972).
- V. P. Gupta, P. K. Jain, On certain classes of univalent functions with negative coeffici- ents, Bull. Aust. Math. Soc. 15, (1976), 467-473.
- O. P. Juneja, M. L. Mogra, radius of convexity for certain classes of univalent analytic functions, Pasific Journal Math. 78, (1978), 359-368.
- S. R. Kulkarni, Some problems connected with univalent functions, Ph. D. Dissertation Shivaji University Kolhapur (1981).
- S. R. Kulkarni, M. K. Aouf, S. B. Joshi, On a subfamily of p −valent functions with negative coefficients, Math. Bech. 46 (1994), 71-75.
- G. S. Salagean, Subclass of univalent functions, Lecture Notes in Math. (springer- Verlag) 1013, (1983), 362-372.
- H. Orhan and H. Kiziltunç, A generalization on subfamily of p −valent functions with negative coefficients, Appl. Math. Comp. 155 (2004) 521-530.
Details
| Other ID | JA43RJ96FZ |
|---|---|
| Journal Section | Review Article |
| Authors | |
| Publication Date | July 15, 2016 |
| Published in Issue | Year 2013 Volume: 21 Issue: 3 |