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
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- Annaby, M.H., Mansour, Z.S., Fractional q-difference equations, q-Fractional Calculus and Equations, (2012), 223-270.
- 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
- 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
- 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
- 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
Authors
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
