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A Class of Analytic Functions with Missing Coefficients

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  • Ding-Gong Yang
  • Jin-Lin Liu

Abstract

Let Tn(A, B, γ, α) (−1 ≤ B 0) denote the class of functions of the form f(z)=z+∑k=n+1∞akzk (n∈N={1,23,,…}), which are analytic in the open unit disk U and satisfy the following subordination condition f′(z) + αzf′′(z)≺((1 + Az)/(1 + Bz)) γ, for(z ∈ U; A ≤ 1; 0

Suggested Citation

  • Ding-Gong Yang & Jin-Lin Liu, 2011. "A Class of Analytic Functions with Missing Coefficients," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:456729
    DOI: 10.1155/2011/456729
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    References listed on IDEAS

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    1. Yong Chan Kim & H. M. Srivastava, 1999. "Some applications of a differential subordination," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 22, pages 1-6, January.
    2. Herb Silverman, 1994. "A class of bounded starlike functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-4, January.
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    Cited by:

    1. Lei Shi & Zhi-Gang Wang, 2014. "On the Starlikeness of Certain Class of Multivalent Analytic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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