Abstract
Making use of the linear operator Iλm defined by (Frasin 2012), we introduce the class 𝕄p,jm(λ,μ,α) of meromorphically p-valent functions in the punctured unit disk 𝒰∗. Furthermore, we obtain some sufficient conditions for starlikeness and close-to-convexity for functions belonging to this class. Several corollaries and consequences of the main results are also considered.
Highlights
Making use of the linear operator IImλλm de ned by (Frasin 2012), we introduce the class MMmppmppp(λλλ λλλ λλλ of meromorphically pp-valent functions in the punctured unit disk UU∗
We obtain some sufficient conditions for starlikeness and close-to-convexity for functions belonging to this class
We denote by Σ∗ppppp(ααα the class of all meromorphically pp-valent starlike of order δδ
Summary
Making use of the linear operator IImλλm de ned by (Frasin 2012), we introduce the class MMmppmppp(λλλ λλλ λλλ of meromorphically pp-valent functions in the punctured unit disk UU∗. A function ffffff in Σppppp is said to be meromorphically pp-valent starlike of order αα if and only if zzzz′ (zz) ff (zz) A function ffffff in Σppppp is said to be meromorphically pp-valent convex of order αα if and only if zzzz′′ (zz) ff′ (zz) A function ffffff belonging to Σppppp is said to be meromorphically pp-valent close-to-convex of order αα if it satis es ff′ (zz) zz−pppp
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
