Research Article

PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS

Volume: 5 Number: 2 October 15, 2017
  • OLGA Engel
  • ORSOLYA Agnes Pall-szabo
EN

PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS

Abstract

In this paper we study the properties of the image of some subclasses of starlike functions, through the generalized Bernardi - Libera - Livingston integral operator. A new subclass of functions with negative coefficients is introduced and we study some properties of this class.

Keywords

References

  1. [1] O. Engel, On the composition of two starlike functions, Acta Univ. Apulensis, Vol:48 (2016), 47-53.
  2. [2] O. Engel, R. Szasz, Diferensiyel geometri, On a subclass of convex functions, Stud. Univ. Babeş - Bolyai Mathematica, Vol:59, No.2 (2016), 137-146.
  3. [3] S. S. Miller, P. T. Mocanu, Differential Subordinations Theory and Applications, Marcel Dekker, New York, Basel 2000.
  4. [4] P. T. Mocanu, T. Bulboaca, G. Şt. Salagean, Teoria Geometrica a Functiilor Univalente, Ed. a II-a, Casa Cartii de Stiinta, Cluj-Napoca, 2006, 460+9 pag., ISBN 973-686-959-8.
  5. [5] R. M. Ali, V. Ravichandran, N. Seenivasagan, Differential subordination and superordination of analytic functions de ned by the multiplier transformation, Math. Inequal. Appl., Vol:12, No.1 (2009), 123-139.
  6. [6] N. Seenivasagan, R. M. Ali, V. Ravichandran, On Bernardi's integral operator and the Briot Bouquet differential subordination, J. of Math. Anal. and Appl., Vol:324 (2006), 663-668. MR2262499 (2007e:30026) Zbl 1104.30013 (SCI).
  7. [7] H. Silverman, A survey with open problems on univalent functions whose coefficients are negative, Rocky Montain J. Math., Vol:21 (1991), 1099-1125.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

OLGA Engel This is me
Romania

ORSOLYA Agnes Pall-szabo This is me
Romania

Publication Date

October 15, 2017

Submission Date

October 15, 2017

Acceptance Date

October 10, 2017

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Engel, O., & Agnes Pall-szabo, O. (2017). PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS. Konuralp Journal of Mathematics, 5(2), 207-215. https://izlik.org/JA83FC62ZU
AMA
1.Engel O, Agnes Pall-szabo O. PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS. Konuralp J. Math. 2017;5(2):207-215. https://izlik.org/JA83FC62ZU
Chicago
Engel, OLGA, and ORSOLYA Agnes Pall-szabo. 2017. “PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS”. Konuralp Journal of Mathematics 5 (2): 207-15. https://izlik.org/JA83FC62ZU.
EndNote
Engel O, Agnes Pall-szabo O (October 1, 2017) PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS. Konuralp Journal of Mathematics 5 2 207–215.
IEEE
[1]O. Engel and O. Agnes Pall-szabo, “PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS”, Konuralp J. Math., vol. 5, no. 2, pp. 207–215, Oct. 2017, [Online]. Available: https://izlik.org/JA83FC62ZU
ISNAD
Engel, OLGA - Agnes Pall-szabo, ORSOLYA. “PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS”. Konuralp Journal of Mathematics 5/2 (October 1, 2017): 207-215. https://izlik.org/JA83FC62ZU.
JAMA
1.Engel O, Agnes Pall-szabo O. PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS. Konuralp J. Math. 2017;5:207–215.
MLA
Engel, OLGA, and ORSOLYA Agnes Pall-szabo. “PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS”. Konuralp Journal of Mathematics, vol. 5, no. 2, Oct. 2017, pp. 207-15, https://izlik.org/JA83FC62ZU.
Vancouver
1.OLGA Engel, ORSOLYA Agnes Pall-szabo. PRESERVING PROPERTIES OF THE GENERALIZED BERNARDI-LIBERA-LIVINGSTON INTEGRAL OPERATOR DEFINED ON SOME SUBCLASSES OF STARLIKE FUNCTIONS. Konuralp J. Math. [Internet]. 2017 Oct. 1;5(2):207-15. Available from: https://izlik.org/JA83FC62ZU
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