Certain subclasses of meromorphically $q$-starlike functions associated with the $q$-derivative operators

  • H. M. Srivastava Univ. Victoria, British Columbia, Canada and China Medical Univ., Taiwan
  • M. Tahir Abbottabad Univ. Sci. and Technology, Pakistan
  • B. Khan School Math. Sci. and Shanghai Key Laboratory PMMP, East China Normal Univ., Shanghai, China
  • M. Darus School Math. Sci., Univ. Kebangsaan Malaysia, Bangi, Selangor, Malaysia
  • N. Khan Abbottabad Univ. Sci. and Technology, Pakistan
  • Q. Z. Ahmad Covernment Akhtar Nawaz Khan (Shaheed) Degree College KTS, Haripur, Pakistan
Keywords: Analytic and univalent functions, Meromorphic functions, Meromorphically starlike functions, q-Derivative (or q-difference) operator, Neighborhoods, Partial sums, Ruscheweyh-type q-derivative operator

Abstract

UDC 517.5

The purpose of the present paper is to establish several general results concerning the partial sums of meromorphically starlike functions defined here by means of a certain class of $q$-derivative (or $q$-difference) operators.
The familiar concept of neighborhood for meromorphic functions are also considered.
Moreover, by using a Ruscheweyh-type $q$-derivative operator, we define and study another new class of functions emerging from the class of normalized meromorphic functions.

 

Author Biographies

H. M. Srivastava, Univ. Victoria, British Columbia, Canada and China Medical Univ., Taiwan



M. Tahir, Abbottabad Univ. Sci. and Technology, Pakistan

 

M. Darus, School Math. Sci., Univ. Kebangsaan Malaysia, Bangi, Selangor, Malaysia




Q. Z. Ahmad, Covernment Akhtar Nawaz Khan (Shaheed) Degree College KTS, Haripur, Pakistan



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Published
16.09.2021
How to Cite
Srivastava, H. M., M. Tahir, B. Khan, M. Darus, N. Khan, and Q. Z. Ahmad. “Certain Subclasses of Meromorphically $q$-Starlike Functions Associated With the $q$-Derivative Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, no. 9, Sept. 2021, pp. 1260 -73, doi:10.37863/umzh.v73i9.814.
Section
Research articles