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A Class of Analytic Functions of Complex Order 被引量：3

A Class of Analytic Functions of Complex Order
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摘要 在这份报纸，不可分的表示，系数不平等和失真，定理为分析功能 L 的班被给(， b，一， B ) 它由使用定义 Ruscheweyh derivatives.This 纸散布结果[6 ] 。 In this paper,the integral expression,coefficient inequality and distortion theorems are given for the class of analytic functions L（λ,b,A,B） which defined by making use of Ruscheweyh derivatives.This paper spreads the result of [6].
作者 LI Shu-hai YANG Jing-yu
机构地区 Department of Mathematics
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2010年第3期414-421,共8页 数学季刊（英文版）
基金 Supported by the Key Scientific Research Fund of Inner Mongolian Educational Bureau(NJ2Y08150)
关键词 星形 凸 复杂顺序 starlike convex complex order
分类号 O174.51 [理学—基础数学]
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参考文献8

  • 1JANOWSKI W.Some extremal problems for certain families of analytic functions[J].I Ann Polon Math,1973,28:297-326.
  • 2ALTINTAS O,OZKAN O,SRIVASTAVA H M.Majorization by starlike functions of complex order[J].Complex Variables Theory,App,2001,46(3):207-218.
  • 3ALTINTAS O,SRIVASTSVA H M.Some majorization problems associated with p-valently stazlike and convex functions of complex order[J].East Asian Math J,2001,17(2):175-183.
  • 4POLATOGLU Yasar,BOLCAL Metin.A coefficient inequality for the class of analytic functions in the disc[J].Int J Math Math Sci,2003,59:3752-3759.
  • 5RUSCHEWEYH S.New criteria for univalent functions[J].Proc Amer Math Sci,1975,49:109-115.
  • 6ZHAO Ye-xi.Family analytic functions of linear homeomorphic and Starlike functions[J].Acta Mathe-matic Sinica,1997,40(3):385-394.
  • 7CARLSON B C,SHAFFER D B,STARLIKE et al.Hypergeometric functions[J].SIAMJ Math Amal,1984,15:737-745.
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同被引文献54

  • 1路见可.某些带变换的边值问题和奇异积分方程[J].数学进展,1994,23(5):424-431. 被引量：16
  • 2BREAZ D, GUNEYHO. The integral operator on the classes S* (b) and Ca (b)[J]. Journal of Mathematical Inequalities, 2008, 2(1): 97-100.
  • 3BREAZ D, AOUF M K, BREAZ N. Some properties for integral operators on some analytic functions with complex order[J]. Acta Mathematica Academiae Paedagogicae Nylregyhaziensis, 2009, 25: 39-43.
  • 4BULUT S. A note on the paper of Breaz and G(iney[J]. Journal of Mathematical Inequalities, 2008, 2(4): 549-553.
  • 5FRASIN B A. Family of analytic functions of complex order[J]. Acta Mathematica Academia Paedagogicae Nylregyhaziensis, 2006, 22: 179-191.
  • 6FUKUI S. On a-convex functions of order β[J]. International Journal of Mathematics and Mathematical Sciences, 1997, 20(4): 769-772.
  • 7MILLER S S, MOCANU P T. Differential Subordinations: Theory and Applications[C]. New York: Marcel Dekker, 2000.
  • 8KANAS S, WISNIOWSKA A. Conic regions and k-uniform convexity[J]. Journal of Computational and Applied Mathematics, 1999, 105: 327-336.
  • 9KANAS S, WISIOWSKA A. Conic regions and k-starlike functions[J]. Rev Roumaine Math Pures Appl 2000, 45(4): 647-657.
  • 10KANAS S, SRIVASTAVA H M. Linear operators associated with k-uniformly convex functions[J]. Integral Transforms and Special Functions, 2000, 9: 121-132.

引证文献3

二级引证文献3

Chinese Quarterly Journal of Mathematics
2010年 第3期

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