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Tytuł artykułu

Neighbourhoods of certain p-valently analytic functions defined by using Salagean operator

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Abstrakty
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By making use of the familiar concept of neighbourhood of analytic and p-valent functions, the author prove coefficient bounds and distortion inequalities and associated inclusion relations for the (j, [...)-neighbourhoods of a family of p-valent functions with negative coefficients and defined by using Salagean operator which is defined by means of a certain non-homogenous Cauchy-Euler differential equation.
Wydawca
Rocznik
Strony
561--570
Opis fizyczny
Bibliogr. 22 poz.
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autor
Bibliografia
  • [1] O. Altintas, On a subnclass of certain starlike functions with negative coefficients, Math. Japon. 36 (1991), 489-495.
  • [2] O. Altintas, Neighborhoods of certain p-valently analytic functions with negative coefficients, Appl. Math. Comput. 187 (2007), no. 1, 47-53.
  • [3] O. Altintas, H. Irmak and H. M. Srivastava, Fractional calculus and certain starlike functions with negative coefficients, Comput. Math. Appl. 30 (1995), no. 2, 9-15.
  • [4] O. Altintas, H. Irmak and H. M. Srivastava, Neighborhoods for certain subclasses of multivalently analytic functions defined by using a differential operator, Comput. Math. Appl. (2007) (To appear).
  • [5] O. Altintas and S. Owa, Neighborhoods of certain analytic functions with negative coefficients, Internat. J. Math. Math. Sci. 19 (1996), 797-800.
  • [6] O. Altintas, Ö. Özkan and H. M. Srivastava, Neighborhoods of a class of analytic functions with negative coefficients, Appl. Math. Letters 13 (2000), no. 3, 63-67.
  • [7] O. Altintas, Ö. Özkan and H. M. Srivastava, Neighborhoods of a certain family of multivalent functions with negative coefficients, Comput. Math. Appl. 47 (2004),1667-1672.
  • [8] 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.
  • [9] M. K. Aouf and H. M. Srivastava, Some families of starlike functions with negative coefficients, J. Math. Anal. Appl. 203 (1996), 762-790.
  • [10] P. L. Duren, Univalent Functions, Grundlehen der Mathematischen Wissenschaften 259, Springer, New York, Berlin, Heidelberg, Tokoyo, 1983.
  • [11] A. W. Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc. 8 (1957), 598-601.
  • [12] G. Murugusundaramoorthy and H. M. Srivastava, Neighborhoods of certain classes of analytic functions of complex order, J. Inequal. Pure Appl. Math. 5 (2)(2004), Article 24, 1-8 (electronic).
  • [13] H. Orhan and E. Kadioglu, Neighborhoods of a class of analytic functions with negative coefficients, Tamsui Oxford J. Math. Sci. 20 (2004), 135-142.
  • [14] H. Orhan and M. Kamali, Neighborhoods of a class of analytic functions with negative coefficients, Acta Math. Acad. Paedagog. Nyhazi. (N.S.) 21 (2005), no. 1, 55-61 (electronic).
  • [15] S. Owa, The quasi-Hadamard products of certain analytic functions, in: H. M. Srivastava and S. Owa (Eds.) Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, Lnodon, and Hong Kong, 1992, 234-251.
  • [16] J. K. Prajapat, R. K. Raina and H. M. Srivastava, Inclusion and neighbourhood properties for certain classes of multivalently analytic functions associated with the convolution structure, J. Inequal. Pure Appl. Math. 8 (1) (2007), Article 7, 1-8 (electronic).
  • [17] R. K. Raina and H. M. Srivastava, Inclusion and neighborhood properties of some analytic and multivalent functions, J. Inequal. Pure Appl. Math. 7 (1) (2006), Article 5, 1-6 (electronic).
  • [18] St. Ruscheweyh, Neighborhoods of univalent functions, Proc. Amer., Math. Soc. 8 (1981), 521-527.
  • [19] G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math. (Springer) 1013 (1983), 362-372.
  • [20] H. M. Srivastava and H. Orhan, Coefficient inequalities and inclusion some families of analytic and multivalent functions, Appl. Math. Letters 20 (2007), 686-691.
  • [21] H. M. Srivastava and S. Owa (Eds.), Current Topics in Analyic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1992.
  • [22] R. Yamakawa, Certain subclasses of p-valently starlike functions with negative coefficients, in: H. M. Srivastava and S. Owa (Eds.) Current Topics in Analytic Function Theory, World Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong, 1992, 393-402.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA3-0049-0009
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