2015
DOI: 10.1063/1.4915680
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Some radius properties for a class of alpha-close-to-convex functions

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“…Kaharudin (2011) has ex-panded the results from Cik Soh (2009) by presenting a special case of g β (z) when β = 1 2 given by Brickman et al (1973) and found important properties of the coe cient bound and the rotation theorem for this class of functions. In addition, many researchers such as MacGregor (1962) , Goel (1967) , MacGregor (1964 , Silverman (1972) , Goel and Mehrok (1983) , Silverman and Telage (1979) , Fukui et al (1987) , Yahya et al (2014 , Kaplan (1952) , Mohamad (2000) , Akbarally et al (2011) , Wang (2010 , Shashkin (1994) , Çağlar et al (2013) , Magesh and Yamini (2013) , Elhaddad and Darus (2020) , Adegani et al (2021) , and Shaba and Wanas (2022) had studied geometrical properties of the di erent class of functions.…”
Section: Introductionmentioning
confidence: 99%
“…Kaharudin (2011) has ex-panded the results from Cik Soh (2009) by presenting a special case of g β (z) when β = 1 2 given by Brickman et al (1973) and found important properties of the coe cient bound and the rotation theorem for this class of functions. In addition, many researchers such as MacGregor (1962) , Goel (1967) , MacGregor (1964 , Silverman (1972) , Goel and Mehrok (1983) , Silverman and Telage (1979) , Fukui et al (1987) , Yahya et al (2014 , Kaplan (1952) , Mohamad (2000) , Akbarally et al (2011) , Wang (2010 , Shashkin (1994) , Çağlar et al (2013) , Magesh and Yamini (2013) , Elhaddad and Darus (2020) , Adegani et al (2021) , and Shaba and Wanas (2022) had studied geometrical properties of the di erent class of functions.…”
Section: Introductionmentioning
confidence: 99%
“…Later, Kaplan (1952) stated that fS  is said to be close-to-convex if and only if , zU  and cos  . Soh and Mohamad (2012) and Akbarally et al (2011) , where   gz is the well-known Koebe function.…”
Section: Introductionmentioning
confidence: 99%
“…Later, Akbarally, Mohamad, Soh and Kaharuddin [1] define G K (α, δ) as the class of functions that satisfy…”
Section: Introductionmentioning
confidence: 99%