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Convexity of Certain q‐Integral Operators of p‐Valent Functions

Author

Listed:
  • K. A. Selvakumaran
  • S. D. Purohit
  • Aydin Secer
  • Mustafa Bayram

Abstract

By applying the concept (and theory) of fractional q‐calculus, we first define and introduce two new q‐integral operators for certain analytic functions defined in the unit disc 𝒰. Convexity properties of these q‐integral operators on some classes of analytic functions defined by a linear multiplier fractional q‐differintegral operator are studied. Special cases of the main results are also mentioned.

Suggested Citation

  • K. A. Selvakumaran & S. D. Purohit & Aydin Secer & Mustafa Bayram, 2014. "Convexity of Certain q‐Integral Operators of p‐Valent Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:925902
    DOI: 10.1155/2014/925902
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    References listed on IDEAS

    as
    1. Thomas Ernst, 2012. "A Comprehensive Treatment of q-Calculus," Springer Books, Springer, edition 127, number 978-3-0348-0431-8, March.
    2. F. M. Al-Oboudi, 2004. "On univalent functions defined by a generalized Sălăgean operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-8, January.
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