Abstract
In particular we shall first determine a radius of univalence for the normalized Bessel functions [J,(z) ]1Iv for values of v belonging to the region G defined by the inequalities (i v} >0, I arg v| <7r/4. Then we shall determine the radius of univalence of the functions z1-vJ,(z) for values of v belonging to a subset of the closure of G. When v is real and positive we shall determine the exact radius of star-likeness of both of the above-mentioned classes of normalized Bessel functions. Our results concerning the functions zl-vJ(z) sharpen those of Kreyszig and Todd [I] when v_ 0 and extend their results for complex values of v.
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.
