Saman Azizi

Recently, Kumar, et al. proposed a conjecture concerning the convolution of a generalized right half-plane mapping with a vertical strip mapping. They verified this conjecture for n = 1, 2, 3 and 4. Moreover, it was proved only for β = 𝜋/2. By using of a new method, we settle this conjecture in the affirmative way for all n 𝜖 ℕ and β 𝜖 (0, 𝜋). More...

Recently, Kumar et al. proposed a conjecture concerning the convolution of a generalized right half-plane mapping with a vertical strip mapping. They have verified the above conjecture for n=1,2,3 and 4 . Also, it has been proved only for \beta=\pi/2 . In this paper, by using of a new method, we settle this conjecture in the affirmative for all n\i...

In this paper, we investigate the problem of stability of integral convolution over the classes of strongly starlike and convex functions with respect to symmetric points and find lower bounds for radius of stability.

The main purpose of this paper is to establish a relationship between univalent harmonic mappings and Hardy spaces. The main result obtained in this paper improves previously published results. Moreover, we generalize some nice results in the analytic case to the harmonic case.

In this present paper, given a sequence T={Tn}n=2∞ consisting of positive numbers, we define the Tδ-neighbourhood of the function f=h+g¯∈H is defined as Nδ(f)=G(z):G(z)=z+∑n=2∞Anzn+Bn¯zn¯,∑n=2∞Tn(|an-An|+|bn-Bn|)≤δ,δ≥0.Furthermore, we investigate some problems concerning Tδ-neighbourhoods of functions in various classes of analytic functions. The r...

In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.

In this paper we investigate the problem of stability for certain subclasses of analytic functions of complex order denoted by S*(A, B, b) and C (A, B, b) and we give the upper and lower bounds of their radius of stability. We also study a stability of geometric properties of a function f under Alexander integral transformation when f is in S*(A, B...

In this paper we investigate the problem of stability for a certain class of p-valent functions in T-neighborhoods and we nd the lower and upper bounds of radius of stability.

We define a new integral operator Fp δ0,..., δm (f1,..., fn) for meromorphic multivalent functions in the punctured open unit disk. The starlikeness condition for this integral operator is determined. Several special cases are also discussed in the form of Corollaries.