Let A be the class of functions f , f (z) = z+ ¥? m=2 amzm, analytic in the open unit disc E. Let S∗ s (h) consist of functions f ∈ A such that 2z f ′(z) f (z)−f (−z) ≺ h(z), where ≺ denotes subordination and h(z) is analytic in E with h(0) = 1. For n = 0,1,2,3, . . . , a certain integral operator In : A→A is defined as In f = f−1 n ∗ f such that ( f−1 n ∗ fn)(z) = z z−1 , where fn(z) = z (1−z)n+1 , and ∗ denotes convolution. By taking h(z) =[1+ 2 p2 log 1+ √ z 1− √ z )2]a ,0
Digital Object Identifier (DOI)
Inayat Noor, Khalida; Shahid, Humayoun; and Aslam Noor, Muhammad
"On Parabolic Analytic Functions with Respect to Symmetrical Points,"
Applied Mathematics & Information Sciences: Vol. 10
, Article 35.
Available at: https://dc.naturalspublishing.com/amis/vol10/iss1/35