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The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of Bi-Close-to-Convex functions connected with the q-convolution

  • Received: 01 August 2020 Accepted: 03 September 2020 Published: 10 September 2020
  • MSC : Primary: 05A30, 30C45; Secondary: 11B65, 47B38

  • In this paper, we introduce a new class of analytic and bi-close-to-convex functions connected with q-convolution, which are defined in the open unit disk. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this subclass by using the Faber polynomial expansion method. Several corollaries and consequences of our main results are also briefly indicated.

    Citation: H. M. Srivastava, Sheza M. El-Deeb. The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of Bi-Close-to-Convex functions connected with the q-convolution[J]. AIMS Mathematics, 2020, 5(6): 7087-7106. doi: 10.3934/math.2020454

    Related Papers:

  • In this paper, we introduce a new class of analytic and bi-close-to-convex functions connected with q-convolution, which are defined in the open unit disk. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this subclass by using the Faber polynomial expansion method. Several corollaries and consequences of our main results are also briefly indicated.


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