Differential Subordination and Superordination of Multivalent Functions Involving Differential Operator

Authors

  • Huda Fawzi Isawi Department of Mathematics, College of Education, University of Anbar, Ramadi.
  • Abdul Rahman S. Juma Department of Mathematics, College of Education, University of Anbar, Ramadi.

DOI:

https://doi.org/10.23851/mjs.v32i3.956

Keywords:

Differential operator, Differential Subordination, Differential Superordination, Hadamard product, Multivalent function

Abstract

In the present work, we derive some properties of subordination and superordination results associated with the Hadamard product concept involving the composition of the differential operator.

References

M. Haji Mohd, & M. Daus (2011). Differential subordination and superordination for Srivastava Attiya operator. International Journal of Differential Equations, 2011.

CrossRef

S. S. Miller, & P. T. Mocanu, (1981). Differenatial subordinations and univalent functions. The Michigan Mathematical Journal, 28(2), 157-172.

CrossRef

S. S. Miller, P. T. Mocanu, (2000). Differential subordinations: theory and applications. CRC Press.

CrossRef

S. S. Miller, & P. T. Mocanu, (2003). Subordinats of differential superordinations. Complex Variables, 48(10), 815-826.

CrossRef

M. I. Faisal, (2019). Study of simply connected domain and its geometric properties. Journal of Taibah University for Science, 13(1), 993-997.

CrossRef

M. Darus , I. Faisal, & Shareef, Z. (2011). Application of an integral operator for p-valent functions. Bull Math Anal Appl. 4(3), 232-239.

H. Orhan and H. Kiziltunc, (2004). A generalization on subfamily of p-valent functions with negative coefficients. Applied Mathematics and Computation, 155(2), 521-530.

CrossRef

M. P. Jeyaraman, and T. K. Suresh, (2012). Strong differential subordination and superordination of analytic functions. Journal of Mathematical Analysis and Applications, 385(2), 854-864.

CrossRef

A. R. S. Juma, R. A. Hameed, & M. I. Hameed, (2018). On second-order differential subordination and superordination of analytic functions involving the Komatu integral operator. Journal of Al-Qadisiyah for Computer Science and Mathematics, 10(1), 8-14.

CrossRef

Downloads

Published

2021-06-24

How to Cite

[1]
H. F. Isawi and A. R. S. Juma, “Differential Subordination and Superordination of Multivalent Functions Involving Differential Operator”, MJS, vol. 32, no. 3, pp. 26–31, Jun. 2021.

Issue

Section

Mathematics

Most read articles by the same author(s)