caa a22 4500 606244638 CHVBK 20210128101331.0 cr unu---uuuuu 210128e20151101xx s 000 0 eng 10.1007/s12044-015-0252-5 doi (NATIONALLICENCE)springer-10.1007/s12044-015-0252-5 BHOWMIK BAPPADITYA Department of Mathematics, Indian Institute of Technology Kharagpur, 721 302, Kharagpur, India aut Regions of variability for a class of analytic and locally univalent functions defined by subordination [Elektronische Daten] [BAPPADITYA BHOWMIK] In this article, we consider a family C ( A , B ) $\mathcal {C}(A, B)$ of analytic and locally univalent functions on the open unit disc D = { z : | z | < 1 } $\mathbb {D}=\{z :|z|<1\}$ in the complex plane that properly contains the well-known Janowski class of convex univalent functions. In this article, we determine the exact set of variability of log ( f ′ ( z 0 ) ) $\log (f^{\prime }(z_{0}))$ with fixed z 0 ∈ D $z_{0} \in \mathbb {D}$ and f ′′ ( 0 ) $f^{\prime \prime }(0)$ whenever f varies over the class C ( A , B ) $\mathcal {C}(A, B)$ . Indian Academy of Sciences, 2015 Janowski class nationallicence univalent functions nationallicence variability regions nationallicence Proceedings - Mathematical Sciences Springer India 125/4(2015-11-01), 511-519 0253-4142 125:4<511 2015 125 12044 https://doi.org/10.1007/s12044-015-0252-5 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s12044-015-0252-5 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- BHOWMIK BAPPADITYA Department of Mathematics, Indian Institute of Technology Kharagpur, 721 302, Kharagpur, India aut NATIONALLICENCE 773 0- Proceedings - Mathematical Sciences Springer India 125/4(2015-11-01), 511-519 0253-4142 125:4<511 2015 125 12044