International Journal of Nonlinear Analysis and Applications

On a class of multivalent meromorphic functions defined by the combinational differential operator

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran

2 Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran

10.22075/ijnaa.2024.35082.5237

Abstract

In this paper, we define a class of meromorphically multivalent functions in U∗={z:z∈C:0<|z|<1} by using a differential operator. Important properties of this class such as coefficient estimates, distortion theorem, radius of starlikeness and convexity, closure theorems, and convolution properties are obtained. We also study δ-neighboorhoods and partial sums for this class.

Keywords

[1] M.K. Aouf, A class of meromorphic multivalent functions with positive coefficients, Taiwan. J. Math. 12 (2008), 2517–2533.
[2] W.G. Atshan and S.R. Kulkarni, On application of differential subordination for certain subclass of meromorphically p-valent functions with positive coefficients defined by linear operator, J. Ineq. Pure Appl. Math. 10 (2009), 1–11.
[3] Sh. Najafzadeh and A. Ebadian, Convex family of meromorphically multivalent functions on connected sets, Math. Com. Mod. 57 (2013), 301–305.
[4] H. Orhan, D. Raducanu, and E. Deniz, Subclasses of meromorphically multivalent functions defined by a differential operator, Comput. Math. Appl. 61 (2011), 966–979.
[5] A. Schlid and H. Silverman, Convolution of univalent functions with negative coefficients, Ann. Univ. Curie-Sklodowska Sect. A 29 (1975), 99–107.
[6] P.M. Sharma, Iterative combinations for Srivastava-Gupta operators, Asian-Eur. J. Math. 14 (2021), no. 7, 2150108.
[7] H.M. Srivastava and V. Gupta, A family of summation-integral type operators, Math. Comput. Model. 37 (2003), no. 12-13, 1307–1315.
International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 07 January 2025
  • Receive Date: 20 August 2024
  • Accept Date: 06 October 2024