Research Article

Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator

Volume: 3 Number: 1 March 1, 2020
EN

Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator

Abstract

In this paper, we study Fekete-Szegö Problem for certain subclass of analytic functions with complex order in the open unit disk by applying the q-analogue of Ruscheweyh operator in conjunction with the principle of subordination between analytic functions.

Keywords

Supporting Institution

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Project Number

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References

  1. H. Aldweby and M. Darus, Some subordination results on q-analogue of Ruscheweyh differential operator, Abstract and Applied Analysis, vol. 2014,Art. ID 958563, 1-6, 2014.
  2. H. Aldweby and M. Darus, Coefficient estimates of classes of q-starlike and q-convex functions, Advanced Studies in Contemporary Math., 26(2016), no. 1, 21-26.
  3. H. Aldweby and M. Darus, On Fekete-Szegö problems for certain subclasses defined by q-derivative, J. Function Spaces, Vol. 2017, Art. ID 7156738, 1-5, 2017.
  4. F. M. Al-Oboudi and M. M. Haidan, Spirallike functions of complex order, J. Natur. Geom., 19(2000), 53-72.
  5. M. K. Aouf, F. M. Al-Oboudi and M. M. Haidan, On some results for λ-spirallike and λ-Robertson functions of complex order, Publ. Instit. Math. Belgrade, 77(2005), no. 91, 93-98.
  6. A. Aral, V. Gupta, and R. P.Agarwal, Applications of q-Calculus in Operator Theory, Springer, New York, USA, 2013.
  7. T. Bulboacă, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
  8. B. A. Frasin, Family of analytic functions of complex order, Acta Math. Acad. Paedagog. Nyházi. (N. S.), 22(2006), no.2, 179-191.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 1, 2020

Submission Date

November 19, 2019

Acceptance Date

February 5, 2020

Published in Issue

Year 2020 Volume: 3 Number: 1

APA
Seoudy, T., & Aouf, M. K. (2020). Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. Constructive Mathematical Analysis, 3(1), 36-44. https://doi.org/10.33205/cma.648478
AMA
1.Seoudy T, Aouf MK. Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. CMA. 2020;3(1):36-44. doi:10.33205/cma.648478
Chicago
Seoudy, Tamer, and Mohamed Kamal Aouf. 2020. “Fekete-Szegö Problem for Certain Subclass of Analytic Functions With Complex Order Defined by Q-Analogue of Ruscheweyh Operator”. Constructive Mathematical Analysis 3 (1): 36-44. https://doi.org/10.33205/cma.648478.
EndNote
Seoudy T, Aouf MK (March 1, 2020) Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. Constructive Mathematical Analysis 3 1 36–44.
IEEE
[1]T. Seoudy and M. K. Aouf, “Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator”, CMA, vol. 3, no. 1, pp. 36–44, Mar. 2020, doi: 10.33205/cma.648478.
ISNAD
Seoudy, Tamer - Aouf, Mohamed Kamal. “Fekete-Szegö Problem for Certain Subclass of Analytic Functions With Complex Order Defined by Q-Analogue of Ruscheweyh Operator”. Constructive Mathematical Analysis 3/1 (March 1, 2020): 36-44. https://doi.org/10.33205/cma.648478.
JAMA
1.Seoudy T, Aouf MK. Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. CMA. 2020;3:36–44.
MLA
Seoudy, Tamer, and Mohamed Kamal Aouf. “Fekete-Szegö Problem for Certain Subclass of Analytic Functions With Complex Order Defined by Q-Analogue of Ruscheweyh Operator”. Constructive Mathematical Analysis, vol. 3, no. 1, Mar. 2020, pp. 36-44, doi:10.33205/cma.648478.
Vancouver
1.Tamer Seoudy, Mohamed Kamal Aouf. Fekete-Szegö Problem for Certain Subclass of Analytic Functions with Complex Order Defined by q-Analogue of Ruscheweyh Operator. CMA. 2020 Mar. 1;3(1):36-44. doi:10.33205/cma.648478

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