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On certain class of analytic functions associated with a convolution structure

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Języki publikacji
EN
Abstrakty
EN
Making use of a convolution structure, we introduce a new class of analytic functions defined in the open unit disc and investigate its various characteristics. Apart from deriving a set of coefficient bounds, we establish several inclusion relation-ships involving the (n, [...)-neighborhoods of analytic functions with negative coefficients belonging to this subclass.
Wydawca
Rocznik
Strony
551--559
Opis fizyczny
Bibliogr. 12 poz.
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autor
Bibliografia
  • [1] O. Altintas, Ö. Özkan, H. M. Srivastava, Neighborhoods of a class analytic functions with negative coefficients, Appl. Math. Letters. 13 (2000), 63-67.
  • [2] O. Altintas, Ö. Özkan, H. M. Srivastava, Neighborhoods of a certain family of multivalent functions with negative coefficients, Comput. Math. Appl. 47 (2004), 1667-1672.
  • [3] B. C. Carlson, S. B. Shaffer, Starlike and prestarlike hypergeometric functions, SIAM, J. Math. Anal. 15 (2002), 737-745.
  • [4] N. E. Cho, T. H. Kim, Multiplier transformations and strongly close-to-convex functions, Bull. Korean Math. Soc. 40(3) (2003), 399-410.
  • [5] N. E. Cho, H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling 37 (2003), no. 1-2, 39-49.
  • [6] J. Dziok, H. M. Srivastava, Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms Spec. Funct. 14 (2003), 7-18.
  • [7] A. W. Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc. (8) (1957), 598-601.
  • [8] G. Murugusundaramoorthy, H. M. Srivastava, Neighborhoods of certain classes of analytic functions of complex order, J. Inequal. Pure Appl. Math. 5 (2) (2004), Art. 24. 8 pp.
  • [9] St. Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109-115.
  • [10] S. Rucheweyh, Neighborhoods of univalent functions, Proc. Amer. Math. Soc. 81 (1981), 521-527.
  • [11] G. Ş. Sălăgean, Subclasses of univalent functions, in: Complex analysis - fifth Romanian-Finnish seminar, Part 1 (Bucharest, 1981), 362-372, Lecture Notes in Math., 1013, Springer, Berlin.
  • [12] H. Silverman, Neighborhoods of a classes of analytic function, Far East J. Math. Sci. 3 (2) (1995), 165-169.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0049-0008
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