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Fekete-Szegö problems for certain class of analytic functions associated with quasi-subordination

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Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we determine the coefficient estimates and the Fekete-Szegö inequalities for [wzór], the class of analytic and univalent functions associated with quasi-subordination.
Rocznik
Tom
Strony
161--170
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
  • Department of Mathematics, Banaras Hindu University, Varanasi 221005, India
Bibliografia
  • 1] O.P. Ahuja, M. Jahangiri, Fekete-Szegö problem for a unified class of analytic functions, PanAmerican Mathematical Journal 7 2 (1997) 67-78.
  • [2] R.M. Ali, S.K. Lee, V. Ravichandran and S. Supramaniam, The Fekete-Szegö coefficient functional for transforms of analytic functions, Bull. Iranian Math. Soc. 35 2 (2009) 119-142.
  • [3] O. Altintas, S. Owa, Majorizations and quasi-subordinations for certain analytic functions, Proc. Japan. Acad. Ser. A 68 7 (1992) 181-185.
  • [4] P.L. Duren, Univalent Functions, Springer-Verlag, Berlin-New York 1983.
  • [5] R. El-Ashwah, M.K. Aouf and A.H. Hassan, Fekete-Szegö 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.
  • [6] R. El-Ashwah, S. Kanas, Fekete-Szegö inequalities for the quasi-subordination functions classes of complex order, Kyunpook Math. J. 55 3 (2014) 679-688.
  • [7] Ch. Gao, Fekete-Szegö problem for strongly Bazilević functions, Northest Math. J. 12 4 (1996) 469-474.
  • [8] H.R. Abdel-Gawad, On the Fekete-Szegö problem for alpha-quasi-convex functions, Tamkang Journal of Mathematics 31 4 (2000) 251-255.
  • [9] S.P. Goyal, O. Singh, Fekete-Szegö problems and coefficient estimates and quasi-subordination classes, J. Rajasthan. Acad. Phys. Sci. 13 (2014) 133-142.
  • [10] 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.
  • [11] F.R. Keogh, E.P. Merkes, A coefficient inequality for certain classes of analytic functions, Proc. Amer. Math. Soc. 20 1 (1969) 8-12.
  • [12] S.Y. Lee, Quasi-subordinate functions and coefficient conjectures, Journal of the Korean Mathematical Society 12 1 (1975) 43-50.
  • [13] 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.
  • [14] M.H. Mohd, M. Darus, Fekete-Szegö problems for quasi-subordination classes, Abstract and Applied Analysis, Volume 2012 (2012), Article ID 192956, 14 pages.
  • [15] 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.
  • [16] 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.
  • [17] Z. Nehari, Conformal Mapping, Dover, New York, USA 1975 (reprinting of 1952 edition).
  • [18] 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.
  • [19] M.S Robertson, Quasi-subordination and coefficient conjectures, Bull. Amer. Math. Soc. 76 (1970) 1-9.[4] P.L. Duren, Univalent Functions, Springer-Verlag, Berlin-New York 1983.
  • [20] 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.
  • [21] 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.
  • [22] P. Sahoo, S. Singh, Fekete-Szegö problems for a special class of analytic functions, J. of Orissa Math. Soc. 27 1 and 2 (2008) 53-60.
  • [23] H.M. Srivastava, A.K. Mishra and M.K. Das, The Fekete-Szegö problem for asubclass of close-to-convex functions, Complex Variables Theory and Appl. 44, 2 (2001) 145-163.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-437c46f0-784a-4ae6-beca-7adff05d517e
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