A subclass of meromorphic Janowski-type multivalent q-starlike functions involving a q-differential operator.

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Author(s): Ahmad, Bakhtiar¹ (AUTHOR); Mashwani, Wali Khan² (AUTHOR); Araci, Serkan³ (AUTHOR) ; Mustafa, Saima⁴ (AUTHOR); Khan, Muhammad Ghaffar² (AUTHOR); Khan, Bilal⁵ (AUTHOR)
Source:
Advances in Difference Equations. 1/19/2022, Vol. 2022 Issue 1, p1-16. 16p.
Subject Terms:
*ALGEBRAIC functions; *APPLIED mathematics; *MEROMORPHIC functions; *MATHEMATICAL physics; *STAR-like functions; *CALCULUS

Additional Information
- Abstract:
  Keeping in view the latest trends toward quantum calculus, due to its various applications in physics and applied mathematics, we introduce a new subclass of meromorphic multivalent functions in Janowski domain with the help of the q-differential operator. Furthermore, we investigate some useful geometric and algebraic properties of these functions. We discuss sufficiency criteria, distortion bounds, coefficient estimates, radius of starlikeness, radius of convexity, inclusion property, and convex combinations via some examples and, for some particular cases of the parameters defined, show the credibility of these results. [ABSTRACT FROM AUTHOR]