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A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions

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  • F. Ghanim
  • M. Darus

Abstract

We introduce a new class of meromorphically analytic functions, which is defined by means of a Hadamard product (or convolution) involving some suitably normalized meromorphically functions related to Cho-Kwon-Srivastava operator. A characterization property giving the coefficient bounds is obtained for this class of functions. The other related properties, which are investigated in this paper, include distortion and the radii of starlikeness and convexity. We also consider several applications of our main results to generalized hypergeometric functions.

Suggested Citation

  • F. Ghanim & M. Darus, 2014. "A Study of Cho-Kwon-Srivastava Operator with Applications to Generalized Hypergeometric Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-6, July.
    • Handle: RePEc:hin:jijmms:374821
    DOI: 10.1155/2014/374821
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    References listed on IDEAS

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    1. Firas Ghanim & Maslina Darus, 2011. "A New Class of Meromorphically Analytic Functions with Applications to the Generalized Hypergeometric Functions," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-10, September.
    2. F. Ghanim, 2013. "A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, September.
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    Cited by:

    1. Norah Saud Almutairi & Awatef Shahen & Hanan Darwish, 2023. "On Meromorphic Parabolic Starlike Functions with Fixed Point Involving the q-Hypergeometric Function and Fixed Second Coefficients," Mathematics, MDPI, vol. 11(13), pages 1-10, July.

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