Research article

Majorization problem for two subclasses of meromorphic functions associated with a convolution operator

  • Received: 03 December 2019 Accepted: 25 May 2020 Published: 15 June 2020
  • MSC : 30C45, 30C50

  • In the present paper, we investigate a majorization problem for the class $% M_{\alpha, \beta }^{\nu, j}(\eta, \varkappa; A, B)$ of meromorphic functions and the class $N_{\alpha, \beta }^{\nu, j}(\theta, b;A, B)$ of meromorphic spirllike functions related with a convolution operator. We extend the results existing in literature for higher order derivative. Several consequences of the main results in the form of corollaries are also pointed out.

    Citation: Akhter Rasheed, Saqib Hussain, Syed Ghoos Ali Shah, Maslina Darus, Saeed Lodhi. Majorization problem for two subclasses of meromorphic functions associated with a convolution operator[J]. AIMS Mathematics, 2020, 5(5): 5157-5170. doi: 10.3934/math.2020331

    Related Papers:

  • In the present paper, we investigate a majorization problem for the class $% M_{\alpha, \beta }^{\nu, j}(\eta, \varkappa; A, B)$ of meromorphic functions and the class $N_{\alpha, \beta }^{\nu, j}(\theta, b;A, B)$ of meromorphic spirllike functions related with a convolution operator. We extend the results existing in literature for higher order derivative. Several consequences of the main results in the form of corollaries are also pointed out.


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