Research Article

ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR

Volume: 5 Number: 1 April 3, 2017
EN

ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR

Abstract

The aim of this paper is to establish the Fekete-Szego inequalities for two new subclasses of analytic functions which are associated with symmetric $q$-derivative operator.

Keywords

References

  1. [1] S. Altinkaya and S. Yalcin, Fekete-Szego inequalities for classes of bi-univalent functions de ned by subordination, Advances in Mathematics: Scienti c Journal, Vol:3, No.2 (2014), 63-71.
  2. [2] M. K. Aouf, R. M. El-Ashwah, A. M. Hassan and A. H. Hassan, Fekete-Szego problem for a new class of analytic functions de ned by using a generalized differential operator, Acta Universitatis Palackianae Olomucensis, Facultas Rerum Naturalium Mathematica, Vol:52, No.1 (2013), 21-34.
  3. [3] K. L. Brahim and Y. Sidomou, On some symmetric q-special functions, Le Matematiche, Vol:LXVIII (2013), 107{122.
  4. [4] L.C. Biedenharn, The Quantum Group SU(2)(q) and a q-Analogue of the Boson Operators, J. Phys. A Vol: 22 (1984), L873-L878.
  5. [5] R. Bucur, L. Andrei and D. Breaz, Coeffient bounds and Fekete-Szego problem for a class of analytic functions de ned by using a new differential operator, Applied Mathematical Sciences, Vol:9, No.28 (2015), 1355 - 1368.
  6. [6] Duren, P. L., Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Springer, New York, USA, 259, 1983.
  7. [7] M. Fekete and G. Szego, Eine Bemerkung uber ungerade schlichte Funktionen, J. Lond. Math. Soc. Vol:8, (1933), 85-89.
  8. [8] Gasper, G. and Rahman, M., Basic Hypergeometric Series (with a Foreword by Richard Askey), Encyclopedia of Mathematics and Its Applications, Vol:35, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne and Sydney, 1990; Second edition, Encyclopedia ofMathematics and Its Applications, Vol:96, Cambridge University Press, Cambridge, London and New York, 2004.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Şahsene Altınkaya
Uludag University, Faculty of Arts and Science, Department of Mathematics, Bursa
Türkiye

Sibel Yalçın
Uludag University, Faculty of Arts and Science, Department of Mathematics, Bursa
Türkiye

Publication Date

April 3, 2017

Submission Date

April 1, 2017

Acceptance Date

January 25, 2017

Published in Issue

Year 2017 Volume: 5 Number: 1

APA
Altınkaya, Ş., & Yalçın, S. (2017). ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR. Konuralp Journal of Mathematics, 5(1), 176-186. https://izlik.org/JA48LW96LD
AMA
1.Altınkaya Ş, Yalçın S. ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR. Konuralp J. Math. 2017;5(1):176-186. https://izlik.org/JA48LW96LD
Chicago
Altınkaya, Şahsene, and Sibel Yalçın. 2017. “ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR”. Konuralp Journal of Mathematics 5 (1): 176-86. https://izlik.org/JA48LW96LD.
EndNote
Altınkaya Ş, Yalçın S (April 1, 2017) ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR. Konuralp Journal of Mathematics 5 1 176–186.
IEEE
[1]Ş. Altınkaya and S. Yalçın, “ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR”, Konuralp J. Math., vol. 5, no. 1, pp. 176–186, Apr. 2017, [Online]. Available: https://izlik.org/JA48LW96LD
ISNAD
Altınkaya, Şahsene - Yalçın, Sibel. “ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR”. Konuralp Journal of Mathematics 5/1 (April 1, 2017): 176-186. https://izlik.org/JA48LW96LD.
JAMA
1.Altınkaya Ş, Yalçın S. ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR. Konuralp J. Math. 2017;5:176–186.
MLA
Altınkaya, Şahsene, and Sibel Yalçın. “ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR”. Konuralp Journal of Mathematics, vol. 5, no. 1, Apr. 2017, pp. 176-8, https://izlik.org/JA48LW96LD.
Vancouver
1.Şahsene Altınkaya, Sibel Yalçın. ON THE FEKETE-SZEGÖ PROBLEM FOR ANALYTIC FUNCTIONS DEFINED BY USING SYMMETRIC $Q$-DERIVATIVE OPERATOR. Konuralp J. Math. [Internet]. 2017 Apr. 1;5(1):176-8. Available from: https://izlik.org/JA48LW96LD
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