Abstract
Abstract Let P be a differential polynomial with constant coefficients and F a family of meromorphic functions in the unit disk. We study the situation that P[f] and P´[f] share a finite nonzero value CM for all f∈F and give conditions on P for F to be normal. Furthermore, a corresponding Picard type theorem for entire functions is given. Connections to Picard type theorems for exceptional values of differential polynomials are shown. The general results are applied to several specific differential polynomials such as P[u]:=u n +au (k) or P[u]:=u n u (k).
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.
