PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Certain classes of multivalent functions with negative coefficients involving the Hadamard product

Autorzy
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this paper, we introduce and investigate a new class of multivalent functions by using the Hadamard product structure defined in the open unit disk. We obtain coefficient estimates, a distortion theorem, extreme points and criteria of starlikeness and convexity for functions which belong to our class. Relevant connections of the results with those obtained in earlier works are also pointed out.
Wydawca
Rocznik
Strony
133--143
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
Bibliografia
  • [1] M. K. Aouf, Generalization of certain subclass of convex functions and a corresponding subclass of starlike functions with negative coefficients. Mat. Tom. 50 (2008), 119-138.
  • [2] B. C. Carlson and D. B. Shaffer, Starlike and prestarloke hypergeometric functions, SIAM J. Math. Anal. 15 (1984), 737-745.
  • [3] N. E. Cho and H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling 37 (2003), 39-49.
  • [4] J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), 1-13.
  • [5] G. Murugusundaramoorthy and S. B. Joshi, Certain classes of analytic functions with negative coefficients associated with a convolution structure, J. Math. Inq. 3 (2009), 293-303.
  • [6] T. Rosy and G. Murugusundaramoorthy, Fractional calculus and their applications to certain subclass of uniformly convex functions, Far East J. Math. Sci. 15 (2004), 231-242.
  • [7] S. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.
  • [8] G. S. Salagean, Subclasses of Univalent Functions, Lecture Notes in Math. 1013, Springer (1983), 362-372.
  • [9] S. Shams and S. R. Kulkami, Certain properties of the class of univalent functions defined by Ruscheweyh derivative. Bull. Cal. Math. Soc. 97 (2005), 223-234.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD7-0033-0033
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.