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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2023 / Cilt: 72 Sayı: 3

Subordination theorems for a class related to q-fractional differential operator

Mohamed MOWAFY
A. O. MOSTAFA
Samar MOHAMED
Pages
701–709
Publication Date
2023-09-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our results not only generalize previous results but also modified some previous results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:By using the definition of q-difference operator, we defined the new q-Al-Oboudi-Al-Amoudi operator, which generalize modified Al-Oboudi-Al-Amoudi operator.
📊
Key Findings & Data:Using the new operator, we defined a new class of uniformly functions and obtained subordination result for functions in it.
💡
Conclusion & Impact:Our results not only generalize previous results but also modified some previous results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Coefficient estimate · subordination factor sequence · q-difference and fractional operator

Abstract

By using the definition of q-difference operator, we defined the new q-Al-Oboudi-Al-Amoudi operator, which generalize modified Al-Oboudi-Al-Amoudi operator. Using the new operator, we defined a new class of uniformly functions and obtained subordination result for functions in it. Our results not only generalize previous results but also modified some previous results.

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Cite This Article

MOWAFY, M., MOSTAFA, A. O., MOHAMED, S. (2023). Subordination theorems for a class related to q-fractional differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 72 Sayı: 3, 701–709. https://ajindex.com/articles/964132

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References (12)

  1. Risha, M.A., Annaby, M.H., Mansour, Z.S., Ismail, M.E., Linear q-difference equations, Zeitschrift für Analysis und ihre Anwendungen, 26(4) (2007), 481-494. doi 10.4171/zaa/1338 Al-Oboudi, F.M., On univalent functions defined by a generalized Salagean operator, International Journal of Mathematics and Mathematical Sciences, 2004(27) (2004), 1429-1436. https://doi.org/10.1155/S0161171204108090
  2. Al-Oboudi, F.M., Al-Amoudi, K.A., On classes of analytic functions related to conic domains, Journal of Mathematical Analysis and Applications, 339(1) (2008), 655-667. https://doi.org/10.1016/j.jmaa.2007.05.087
  3. Annaby, M.H., Mansour, Z.S., Fractional q-difference equations, q-Fractional Calculus and Equations, (2012), 223-270.
  4. Aouf, M.K., Mostafa, A.O., Subordination results for analytic functions associated with fractional q-calculus operators with complex order, Afrika Matematika, 31(7) (2020), 1387-1396. https://doi.org/10.1007/s13370-020-00803-3
  5. Aouf, M.K., Mostafa, A.O., Some subordinating results for classes of functions defined by Salagean type q derivative operator, Filomat, 34(7) (2020), 2283-2292. https://doi.org/10.2298/FIL2007283A
  6. Aouf, M.K., Mostafa, A.O., Some subordination results for classes of analytic functions defined by the Al-Oboudi–Al-Amoudi operator, Archiv der Mathematik, 92(3) (2009), 279-286. https://doi.org/10.1007/s00013-009-2984-x
  7. Aouf, M.K., Mostafa, A.O., Al-Quhali, F.Y., A class of $\beta$-uniformly univalent functions defined by Salagean type q- difference operator, Acta Univ. Apulensis, 60 (2019), 19-35.
  8. Aouf, M.K., Mostafa, A.O., Elmorsy, R.E, Certain subclasses of analytic functions with varying arguments associated with q-difference operator, Afrika Matematika, 32(3) (2021), 621-630. https://doi.org/10.1007/s13370-020-00849-3
  9. Aouf, M.K., Mostafa, A.O., Hussain, A.A., Properties of certain class of uniformly Starlike and Convex functions defined by convolution, Int. J. Open Problems Complex Analysis, 7(2) (2015), 1-15.
  10. Aouf, M.K., Mostafa, A.O., Shahin, A.M., Madian, S.M., Subordination theorem for analytic function defined by convolution, Indian J. Math., 54(1) (2012), 1-11. https://doi.org/10.2298/FIL2007283A
  11. Aouf, M.K., Shamandy, A., Mostafa, A.O., El-Emam, F., Subordination results associated with β−uniformly convex and starlike functions, Proc. Pakistan Acad. Sci, 46(2) (2009), 97-101.
  12. Aouf, M.K., Shamandy, A., Mostafa, A.O., Madian, S.M., Subordination theorem for analytic function defined by convolution, Proc. Pakistan Acad.