arXiv subjects
Publications and source records attributed to Sh. Najafzadeh.
In this paper, we obtain some application of first-order differential subordination, superordination and sandwich-type results involving operator for certain normalized $p$-valent analytic functions. Further, properties of $p$-valent functions such as; $λ$-spirallike and $λ$-Robertson of complex order are considered.
The object of the present paper is to study of radius of convexity two certain integral operators as follows \begin{equation*} F(z):=\int_{0}^{z}\prod_{i=1}^{n}\left(f'_i(t)\right)^{γ_i}{\rm d}t \end{equation*} and \begin{equation*} J(z):=\int_{0}^{z}\prod_{i=1}^{n}\left(f'_i(t)\right)^{γ_i}\prod_{j=1}^{m} \left(\frac{g_j(z)}{z}\right)^{λ_j}{\rm d}t, \end{equation*} where $γ_i, λ_i\in\mathbb{C}$, $f_i$ $(1\leq i\leq n)$ and $g_j$ $(1\leq j\leq m)$ belong to the certain subclass of analytic functions.
The object of the present paper is to study of two certain subclass of analytic functions related with Booth lemniscate which we denote by $\mathcal{BS}(α)$ and $\mathcal{BK}(α)$. Some properties of these subclasses are considered.
Using fixed point methods, we prove the generalized Hyers--Ulam--Rassias stability of ternary homomorphisms, and ternary multipliers in ternary Banach algebras for the Jensen--type functional equation $$f(\frac{x+y+z}{3})+f(\frac{x-2y+z}{3})+f(\frac{x+y-2z}{3})= f(x).$$
By considering a fixed point in unit disk $Δ$, a new class of univalent convex functions is defined. Coefficient inequalities, integral operator and extreme points of this class are obtained.