Abstract
In this paper, we prove that given μ>0 there exists a dense linear manifold M of entire functions, such that,[formula]for every f∈M and l straight line and with infinite growth index for all non-null functions of M. Moreover, every non-null function of M has exactly 2([2μ]+1) Julia directions. And if l is a straight line that does not contain a Julia line, then for every f∈M[formula]and for j≥1, f(j) is bounded and integrable with respect to the length measure on l and ∫lf(j)=0.
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.
