Research Article

Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure

Volume: 1 Number: 1 June 30, 2018
EN

Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure

Abstract

The main object of the present paper is to investigate certain interesting argument inequalities and differential subordinations properties of multivalent functions associated with a linear operator $D_{\lambda ,p}^{n}(f\ast g)(z)\ $defined by Hadamard product

Keywords

References

  1. [1] F. M. Al-Oboudi, On univalent function defined by a generalized Salagean operator, Internat. J. Math. Math. Sci., 27(2004),1429-1436.
  2. [2] M. K. Aouf and A.O. Mostaafa, On a subclass of p-valent functions prestarlike functions, Comput. Math. Appl., (2008), no. 55, 851-861.
  3. [3] M.K.Aouf and A.O.Mostafa, Sandwich theorems for analytic functions defined by convolution, Acta Univ. Apulensis, 21(2010), 7-20.
  4. [4] T. Bulboaca, Differential Subordinations and Superordinations, Recent Results, House of Scientific Book Publ., Cluj-Napoca, 2005.
  5. [5] A. Catas, On certain classes of p-valent functions defined by multiplier transformations, in Proceedings of the International Symposium on Geometric Function Theory and Applications: GFTA 2007 Proceedings (˙Istanbul, Turkey; 20-24 August 2007) (S. Owa and Y. Polatog¸lu, Editors), pp. 241–250, TC İstanbul Kültür University Publications, Vol. 91, TC İstanbul Kültür University, İstanbul, Turkey, 2008.
  6. [6] N. E.Cho, O. S. Kwon and H. M Srivastava, Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl., 292(2004), 470-483.
  7. [7] J. H. Choi, M. Saigo and H. M. Srivastava, Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl. 276(2002), 432-445.
  8. [8] J. Dziok and H. M. Srivastava, Classes of analytic functions associated with the generalized hypergeometric function, Appl. Math. Comput. 103 (1999), no. 1, 1–13.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mohamed Kamal Aouf This is me
Egypt

Rabha El-ashwah This is me
Egypt

Publication Date

June 30, 2018

Submission Date

March 12, 2018

Acceptance Date

June 5, 2018

Published in Issue

Year 2018 Volume: 1 Number: 1

APA
Aouf, M. K., El-ashwah, R., & Ali, E. E. (2018). Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure. Fundamental Journal of Mathematics and Applications, 1(1), 82-87. https://doi.org/10.33401/fujma.404408
AMA
1.Aouf MK, El-ashwah R, Ali EE. Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure. Fundam. J. Math. Appl. 2018;1(1):82-87. doi:10.33401/fujma.404408
Chicago
Aouf, Mohamed Kamal, Rabha El-ashwah, and Ekram Elsayed Ali. 2018. “Differential Bubordinations and Argument Inequalities for Certain Multivalent Functions Defined by Convolution Structure”. Fundamental Journal of Mathematics and Applications 1 (1): 82-87. https://doi.org/10.33401/fujma.404408.
EndNote
Aouf MK, El-ashwah R, Ali EE (June 1, 2018) Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure. Fundamental Journal of Mathematics and Applications 1 1 82–87.
IEEE
[1]M. K. Aouf, R. El-ashwah, and E. E. Ali, “Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure”, Fundam. J. Math. Appl., vol. 1, no. 1, pp. 82–87, June 2018, doi: 10.33401/fujma.404408.
ISNAD
Aouf, Mohamed Kamal - El-ashwah, Rabha - Ali, Ekram Elsayed. “Differential Bubordinations and Argument Inequalities for Certain Multivalent Functions Defined by Convolution Structure”. Fundamental Journal of Mathematics and Applications 1/1 (June 1, 2018): 82-87. https://doi.org/10.33401/fujma.404408.
JAMA
1.Aouf MK, El-ashwah R, Ali EE. Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure. Fundam. J. Math. Appl. 2018;1:82–87.
MLA
Aouf, Mohamed Kamal, et al. “Differential Bubordinations and Argument Inequalities for Certain Multivalent Functions Defined by Convolution Structure”. Fundamental Journal of Mathematics and Applications, vol. 1, no. 1, June 2018, pp. 82-87, doi:10.33401/fujma.404408.
Vancouver
1.Mohamed Kamal Aouf, Rabha El-ashwah, Ekram Elsayed Ali. Differential bubordinations and argument inequalities for certain multivalent functions defined by convolution structure. Fundam. J. Math. Appl. 2018 Jun. 1;1(1):82-7. doi:10.33401/fujma.404408

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