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Differential Subordination Results for Certain Integrodifferential Operator and Its Applications

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  • M. A. Kutbi
  • A. A. Attiya

Abstract

We introduce an integrodifferential operator ( ) which plays an important role in the Geometric Function Theory . Some theorems in differential subordination for ( ) are used. Applications in Analytic Number Theory are also obtained which give new results for Hurwitz-Lerch Zeta function and Polylogarithmic function.

Suggested Citation

  • M. A. Kutbi & A. A. Attiya, 2012. "Differential Subordination Results for Certain Integrodifferential Operator and Its Applications," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, December.
    • Handle: RePEc:hin:jnlaaa:638234
    DOI: 10.1155/2012/638234
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