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Some Subordination Results on q‐Analogue of Ruscheweyh Differential Operator

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  • Huda Aldweby
  • Maslina Darus

Abstract

We derive the q‐analogue of the well‐known Ruscheweyh differential operator using the concept of q‐derivative. Here, we investigate several interesting properties of this q‐operator by making use of the method of differential subordination.

Suggested Citation

  • Huda Aldweby & Maslina Darus, 2014. "Some Subordination Results on q‐Analogue of Ruscheweyh Differential Operator," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:958563
    DOI: 10.1155/2014/958563
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    References listed on IDEAS

    as
    1. S. L. Shukla & Vinod Kumar, 1983. "Univalent functions defined by Ruscheweyh derivatives," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-4, January.
    2. M. L. Mogra, 1999. "Applications of Ruscheweyh derivatives and Hadamard product to analytic functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 22, pages 1-11, January.
    3. Ali Aral & Vijay Gupta & Ravi P Agarwal, 2013. "Applications of q-Calculus in Operator Theory," Springer Books, Springer, edition 127, number 978-1-4614-6946-9, March.
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    Cited by:

    1. Ekram E. Ali & Rabha M. El-Ashwah & Teodor Bulboacă & Abeer M. Albalahi, 2025. "Majorization Problems for Subclasses of Meromorphic Functions Defined by the Generalized q -Sălăgean Operator," Mathematics, MDPI, vol. 13(10), pages 1-13, May.
    2. Rashid Murtaza & Adnan & Amna Aziz & Abdulaziz H. Alghtani & Ilyas Khan & Mulugeta Andualem, 2022. "Certain Families of Analytic Functions Characterized by (p, q)‐Difference Operator," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Vasile-Aurel Caus, 2025. "On Certain Subclasses of Analytic Functions Associated with a Symmetric q -Differential Operator," Mathematics, MDPI, vol. 13(17), pages 1-23, September.

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