Mapping properties of an integral operator

Sharp Bounds of the Coefficient Results for the Family of Bounded Turning Functions Associated with a Petal-Shaped Domain

“…is described by the functions of the Janowski starlike family established in [1] and later studied in different directions in [2,3] (ii) The family S * L ≡ S * ðΛðzÞÞ with ΛðzÞ = ffiffiffiffiffiffiffiffiffi ffi 1 + z p was developed in [4] by Sokól and Stankiewicz. The image of the function ΛðzÞ = ffiffiffiffiffiffiffiffiffi ffi 1 + z p demonstrates that the image domain is bounded by the Bernoulli's lemniscate right-half plan specified by |w 2 − 1 | <1 (iii) By selecting ΛðzÞ = 1 + sin z, the class S * ðΛðzÞÞ lead to the family S * sin which was explored in [5] while S * e ≡ S * ðe z Þ has been produced in the article [6] and later studied in [7] (iv) The family S * c ≔ S * ðΛðzÞÞ with ΛðzÞ = 1 + ð4/3Þ z + ð2/3Þz 2 was contributed by Sharma and his coauthors [8] which contains function f ∈ A such that z f ′ðzÞ/f ðzÞ is located in the region bounded by the cardioid given by…”

A New Class of Analytic Functions Associated with Sălăgean Operator

“…Later on, Kuroki and Owa [3] discussed the fact that the condition | | ≤ 1 can be omitted from the conditions in part ( ) of (7). Janowski functions are being studied and extended in different directions by several renowned mathematicians like Noor and Arif [4], Arif et al [5], Polatog lu [6], Cho [7], Cho et al [8,9], Liu and Noor [10], Liu and Patel [11], Liu and Srivastava [12,13], etc. For a function of the form (1) and = 1, 2, 3 .…”

Coefficient inequalities for Janowski-Sakaguchi type functions associated with conic regions

“…Janowski functions are studied by several researchers like Cho [2], Liu and Noor [10], Liu and Srivastava [12], Noor and Arif [13], Polatoğlu [17], Shams et al [21] and Wang et al [24], see also [3,11]. Consider the domain…”