Coefficient inequalities for certain analytic functions

Abstract

For realα(α>1), we introduce subclassesM(α)andN(α)of analytic functionsf(z)withf(0)=0andf′(0)=1inU. The object of the present paper is to consider the coefficient inequalities for functionsf(z)to be in the classesM(α)andN(α). Further, the bounds ofαfor functionsf(z)to be starlike inUare considered.

Integral operators on Ma–Minda type starlike and convex functions

“…For p = 1, these classes were considered by Breaz [3], Nishiwaki and Owa [4], Owa and Nishiwaki [5], Owa and Srivastava [6], and Uralegaddi et al [7].…”

Bounds on third Hankel determinant for certain classes of analytic functions

“…These classes M(λ) and N (λ) were investigated recently by Nishiwaki and Owa [19] (see also [23]). For 1 < λ ≤ 4/3, the classes M(λ) and N (λ) were investigated by Uralegaddi et al [32].…”

Certain properties of rational functions involving bessel functions

“…For n = 1, β = 0 and 1 < α < 4 3 , the class M 1 (α, 0) was investigated earlier by Uralegaddi et al (cf [14]; see also [1], [9] and [11].). Also the classes M 1 (α, β) and M n (α, 0) were studied by Nishiwaki and Owa [10] and Owa et all [8].…”