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MEROMORPHIC p-VALENT FUNCTION WITH FIXED SECOND NEGATIVE COEFFICIENTS

MEROMORPHIC p-VALENT FUNCTION WITH FIXED SECOND NEGATIVE COEFFICIENTS
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摘要 In this paper we consider the class ∑^＊（p,α,β,k,c） consisting of analytic functions with negativecoefficients and fixed second coefficient. The object of the present paper is to give coefficient estimates, convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f（z） in the class ∑^＊（p,α,β,k,c） . In this paper we consider the class ∑^＊（p,α,β,k,c） consisting of analytic functions with negativecoefficients and fixed second coefficient. The object of the present paper is to give coefficient estimates, convex linear combinations, some distortion theorems and radii of starlikeness and convexity for f（z） in the class ∑^＊（p,α,β,k,c） .
作者 M.Darus
机构地区 Universiti Kebangsaan Malaysia Malaysia
出处 《Analysis in Theory and Applications》 2005年第2期132-142,共11页 分析理论与应用（英文刊）
基金 The work is supported by UKM grant ST-028-2003 IRPA grant 09-02-02-80 EA208, Malysia.
关键词 analytic function meromorphic function negative coefficient fixed second negative coefficient growth and distortion theorem analytic function, meromorphic function, negative coefficient, fixed second negative coefficient, growth and distortion theorem
分类号 O174.52 [理学—基础数学]
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参考文献17

  • 1Uralegaddi, B. A. and Ganigi, M. D., A Certain Class of Meromorphic Univalent Functions with Positive Coefficients, Pure Appl. Math. Sci., 26(1987), 75-81.
  • 2Uralegaddi, B. A. and Somanatha, C., New Criteria for Meromorphic Starlike Univalent Functions,Bull. Austral. Math. Soc., 43(1991), 137-140.
  • 3Uralegaddi, B. A. and Somanatha, C., Certain Differential Operator for Meromorphic, Houston J.Math., 17(1991), 279-284.
  • 4Pommerenke, Ch., On Meromorphic Starlike Functions, Pasific J. Math., 25(1963), 1-11.
  • 5Pommerenke, Ch., Uber Einige Klassen Meromorfer Schlichter Funktionen, Math. Zeitschrt, 78(1962),263-284.
  • 6Srivastava, H. M. and Owa (Eds.) S., Current Topics in Analytic Functions Theory, World Scientific,Singapore/New Jersey/London/Hongkong, pp. 86 and 429, (1992).
  • 7Clunie, J., On Meromorphic Schlicht Functions., J. London, Math. Soc., 34(1959), 215-216.
  • 8Miller, J. E., Convex Meromorphic Mapping and Related Functions, Proc. Amer. Math. Soc.,25(1970), 220-228.
  • 9Darus, M., Meromorphic Functions for Positive Coefficients, Inter. Math. and Math Sci., 6:2004(2004),319-324.
  • 10Aouf, M. K., On a Certain Class of Meromorphic Univalent Functions with Positive Coefficients,Rend. Mat. Appl., 11:7(1991), 209-219.
Analysis in Theory and Applications
2005年 第2期

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