Research Article

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

Volume: 72 Number: 3 September 30, 2023
EN

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

Keywords

References

  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
  2. 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
  3. 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
  4. Annaby, M.H., Mansour, Z.S., Fractional q-difference equations, q-Fractional Calculus and Equations, (2012), 223-270.
  5. 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
  6. 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
  7. 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
  8. 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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

September 30, 2023

Submission Date

November 8, 2022

Acceptance Date

February 14, 2023

Published in Issue

Year 2023 Volume: 72 Number: 3

APA
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, 72(3), 701-709. https://doi.org/10.31801/cfsuasmas.1199113
AMA
1.Mowafy M, Mostafa AO, Mohamed S. Subordination theorems for a class related to q-fractional differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72(3):701-709. doi:10.31801/cfsuasmas.1199113
Chicago
Mowafy, Mohamed, A. O. Mostafa, and Samar Mohamed. 2023. “Subordination Theorems for a Class Related to Q-Fractional Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 (3): 701-9. https://doi.org/10.31801/cfsuasmas.1199113.
EndNote
Mowafy M, Mostafa AO, Mohamed S (September 1, 2023) Subordination theorems for a class related to q-fractional differential operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72 3 701–709.
IEEE
[1]M. Mowafy, A. O. Mostafa, and S. Mohamed, “Subordination theorems for a class related to q-fractional differential operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 72, no. 3, pp. 701–709, Sept. 2023, doi: 10.31801/cfsuasmas.1199113.
ISNAD
Mowafy, Mohamed - Mostafa, A. O. - Mohamed, Samar. “Subordination Theorems for a Class Related to Q-Fractional Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 72/3 (September 1, 2023): 701-709. https://doi.org/10.31801/cfsuasmas.1199113.
JAMA
1.Mowafy M, Mostafa AO, Mohamed S. Subordination theorems for a class related to q-fractional differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023;72:701–709.
MLA
Mowafy, Mohamed, et al. “Subordination Theorems for a Class Related to Q-Fractional Differential Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 72, no. 3, Sept. 2023, pp. 701-9, doi:10.31801/cfsuasmas.1199113.
Vancouver
1.Mohamed Mowafy, A. O. Mostafa, Samar Mohamed. Subordination theorems for a class related to q-fractional differential operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2023 Sep. 1;72(3):701-9. doi:10.31801/cfsuasmas.1199113

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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