PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

On a subclass of uniformly convex functions with fixed second coefficient

Autorzy
Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Using of Salagean operator, we define a new subclass of uniformly convex functions with negative coefficients and with fixed second coefficient. The main objective of this paper is to obtain coefficient estimates, distortion bounds, closure theorems and extreme points for functions belonging of this new class. The results are generalized to families with fixed finitely many coefficients.
Wydawca
Rocznik
Strony
791--803
Opis fizyczny
Bibliogr. 23 poz.
Twórcy
autor
  • Department of Mathematics Faculty of Science Mansoura University Mansoura 35516, Egypt, darwish333@yahoo.com
Bibliografia
  • [1] O. P. Ahuja and H. Silverman, Extreme points of families of univalent functions with fixed second coefficient, Colloq. Math. 54 (1987), 127-137.
  • [2] M. K. Aouf, Neighborhoods of certain classes of analytic functions with negative coefficients, Internat. J. Math. Math. Sci. Vol. 2006, Article ID 38258, 1-6.
  • [3] M. K. Aouf and H. E. Darwish, Fixed coefficients for certain class of analytic functions with negative coefficients, Comm. Fac. Sci. Univ. Ank. Ser. A, 45 (1996), 37-44.
  • [4] M. K. Aouf, H. E. Darwish and A. A. Attiya, Generalization of certain subclasses of analytic functions with negative coefficients, Univ. Babes-Bolyai, Studia Math. 45 (2000), no. 1, 11-22.
  • [5] M. K. Aouf, H. M. Hossen and A. Y. Lashin, On certain families of analytic functions with negative coefficients, Indian J. Pure Appl. Math. 31 (2000), no. 8, 999-1015.
  • [6] M. K. Aouf, H. M. Hossen and H. M. Srivastava, Some new classes of analytic functions with negative coefficients and fixed coefficients, Soochow. J. Math. 25 (1999), no. 1, 97-109.
  • [7] M. D. Ganigi, Fixed coefficients for certain univalent functions with negative coefficients, II, J. Karnatak Univ. Sci. 32 (1978), 202-210.
  • [8] A. W. Goodman, On uniformly convex functions, Ann. Polon. Math. 56 (1991), 87-92.
  • [9] A. W. Goodman,On uniformly starlike functions, J. Math. Anal. Appl. 155 (1991), 364-370.
  • [10] H. M. Hossen, Fixed coefficients for certain subclasses of univalent functions with negative coefficients, Soochow J. Math., 24 (1998), no. 1, 39-50.
  • [11] H. M. Hossen, G. S. Salagean and M. K. Aouf, Notes on certain classes of analytic functions with negative coefficients, Math. (Cluj) 39 (62) (1997), no. 2, 165-179.
  • [12] S. Kanas and T. Yaguchi, Subclasses of k-uniformly convex and starlike functions defined by generalized derivative. I, Indian J. Pure Appl. Math. 32 (9), (2001), 1275-1282.
  • [13] S. Kanas and A. Wisniowska, Conic regions and k-uniformly convexity, J. Comput. Appl. Math. 104 (1999), 327-336.
  • [14] S. Kanas and A. Wisniowska, Conic regions and starlike functions, Rev. Roum. Math. Pures Appl. 45 (2000), no. 4, 647-657.
  • [15] W. Ma and D-Minda, Uniformly convex functions, Ann. Polon. Math. 57 (1992), no. 2, 165-175.
  • [16] S. Owa, Fixed coefficients for certain class of univalent functions with negative coefficients, Ranchi Univ. Math. J. 15 (1984), 11-22.
  • [17] S. Owa, Fixed coefficients for certain class of univalent functions, Bull. Cal. Math. Soc. 77 (1985), 73-79.
  • [18] F. Ronning, On starlike functions associated with parabolic regions, Ann. Univ. Mariae-Curie Sklodowska Sect. A 45 (1991), 117-122.
  • [19] F. Ronning, Uniformly convex functions and a corresponding class of starlike functions, Proc. Amer. Math. Soc. 118 (1993), 189-196.
  • [20] T. Rosy and G. Murugusundaramoorthy, Fractional calculus and their applications to certain subclass of uniformly convex functions, Far East J. Math. Sci. (FJMS) 115 (2004), no. 2, 231-242.
  • [21] G. H. Salagean, Subclasses of Univalent Functions, Lecture Notes in Math. (Springer-Verlag) 1013 (1983), 362-372.
  • [22] T. Sekine, Generalization of certain subclasses of analytic functions, Internat. J. Math. Math. Sci. 10 (1987), no. 4, 725-732.
  • [23] H. Silverman and E. M. Silvia, Fixed coefficients for subclasses of starlike functions, Houston J. Math. 7(1997), 129-136.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0050-0006
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.