We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Radius problems for ratios of analytic functions involving sigmoid domain.
- Authors
Kaur, Gurpreet; Nagpal, Sumit
- Abstract
The univalent function ϕ SG (z) : = 2 / (1 + e − z) maps the open unit disk | z | < 1 onto a sigmoid domain | log (w / (2 − w)) | < 1. The sharp radii constants have been computed for the classes involving ratios f / g and g / (z p) of analytic functions f , g and p defined in | z | < 1 such that p is subordinate to ϕ SG , the other two ratios are subordinate to 1 + z , e z or z + 1 + z 2 and the quantity z f ′ / f lies in a certain region of the right half plane.
- Subjects
UNIVALENT functions; STAR-like functions; EXPONENTIAL functions; RADIUS (Geometry)
- Publication
Asian-European Journal of Mathematics, 2024, Vol 17, Issue 1, p1
- ISSN
1793-5571
- Publication type
Article
- DOI
10.1142/S179355712350239X