Journal of Mathematics and Applications
11/40, DOI: 10.7862/rf.2017.11
Fekete-Szegő Problems for Certain Class of Analytic Functions Associated with Quasi-Subordination
Pravati Sahoo
DOI: 10.7862/rf.2017.11
Abstract
References
- O.P. Ahuja, M. Jahangiri, Fekete-Szegő problem for a unified class of analytic functions, PanAmerican Mathematical Journal 7 2 (1997) 67-78.
- R.M. Ali, S.K. Lee, V. Ravichandran and S. Supramaniam, The Fekete-Szegő coefficient functional for transforms of analytic functions, Bull. Iranian Math. Soc. 35 2 (2009) 119-142.
- O. Altintas, S. Owa, Majorizations and quasi-subordinations for certain analytic functions, Proc. Japan. Acad. Ser. A 68 7 (1992) 181-185.
- P.L. Duren, Univalent Functions, Springer-Verlag, Berlin-New York 1983.
- R. El-Ashwah, M.K. Aouf and A.H. Hassan, Fekete-Szegő problem for a new class of anaytic functions with complex order defined by certain differential operator, Stud. Univ. Babes-Bolyai Math. 9 1 (2014) 25-36.
- R. El-Ashwah, S. Kanas, Fekete-Szegő inequalities for the quasi-subordination functions classes of complex order, Kyunpook Math. J. 55 3 (2014) 679-688.
- Ch. Gao, Fekete-Szegő problem for strongly Bazilević functions, Northest Math. J. 12 4 (1996) 469-474.
- H.R. Abdel-Gawad, On the Fekete-Szegő problem for alpha-quasi-convex functions, Tamkang Journal of Mathematics 31 4 (2000) 251-255.
- S.P. Goyal, O. Singh, Fekete-Szegő problems and coefficient estimates and quasi-subordination classes, J. Rajasthan. Acad. Phys. Sci. 13 (2014) 133-142.
- W. Janowski, Extremal problems for a family of functions with positive real parts and for some related families, Ann. Polon. Math. 23 (1970/1971) 159-177.
- F.R. Keogh, E.P. Merkes, A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc. 20 1 (1969) 8-12.
- S.Y. Lee, Quasi-subordinate functions and coefficient conjectures, Journal of the Korean Mathematical Society 12 1 (1975) 43-50.
- N. Magesh, V.K. Balaji and J. Yamini, Certain subclasses of bistarlike and biconvex functions based on quasi-subordination, Abstract and Applied Analysis, Volume 2016 (2016) Article ID 3102960, 6 pages.
- M.H. Mohd, M. Darus, Fekete-Szegő problems for quasi-subordination classes, Abstract and Applied Analysis, Volume 2012 (2012), Article ID 192956, 14 pages.
- W.C. Ma, D. Minda, A unified treatment of some special classes of univalent functions, in Proc. of the Conference on Complex Analysis (Tianjin, 1992) 157-169 Conf. Proc. Lecture Notes Anal. I, Int. Press, Cambridge, M.A.
- S.S. Miller, P.T. Mocanu and M.O. Reade, All α-convex functions are starlike, Rev. Roumaine de Mathematique Pures et Appliquees 17 (1972) 1395-1397.
- Z. Nehari, Conformal Mapping, Dover, New York, USA 1975 (reprinting of 1952 edition).
- V. Ravichandran, Y. Polotoglu, M. Bolcal and A. Sen, Certain subclasses of starlike and convex functions of complex order, Hacettepe Journal of Math. and Stats. 34 (2005) 9-15.
- M.S Robertson, Quasi-subordination and coefficient conjectures, Bull. Amer. Math. Soc. 76 (1970) 1-9.
- F.Y. Ren, S. Owa and S. Fukui, Some inequalities on quasi-subordinate functions, Bulletin of the Australian Mathematical Society 43 2 (1991) 317-324.
- P. Sharma, R.K. Raina, On a Sakaguchi type class of analytic functions associated with quasi-subordination, Comment. Math. Univ. St. Pauli 64 1 (2015) 59-70.
- P. Sahoo, S. Singh, Fekete-Szegő problems for a special class of analytic functions, J. of Orissa Math. Soc. 27 1 and 2 (2008) 53-60.
- H.M. Srivastava, A.K. Mishra and M.K. Das, The Fekete-Szegő problem for a subclass of close-to-convex functions, Complex Variables Theory and Appl. 44 2 (2001) 145-163.
About this Article
TITLE:
Fekete-Szegő Problems for Certain Class of Analytic Functions Associated with Quasi-Subordination
AUTHORS:
Pravati Sahoo
AUTHORS AFFILIATIONS:
Department of Mathematics, Banaras Hindu University, Varanasi, India
JOURNAL:
Journal of Mathematics and Applications
11/40
KEY WORDS AND PHRASES:
Univalent functions; Starlike; Convex functions; Subordination and quasi-subordination
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/60
DOI:
10.7862/rf.2017.11
URL:
http://dx.doi.org/10.7862/rf.2017.11
RECEIVED:
2017-05-30
COPYRIGHT:
Publishing House of Rzeszow University of Technology Powstańców Warszawy 12, 35-959 Rzeszow