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- HESAM MAHZOON, S. LATHA
- 2009

In this paper, we introduce the generalized Saitoh operator Lp(a, c, η) and using this operator, the new subclasses H n,m(a, c, η), L n,m(a, c, η;μ), H n,m (a, c, η) and L n,m (a, c, η;μ) of the class of multivalent functions denoted by Ap(n) are defined. Further for functions belonging to these classes, certain properties of neighborhoods are studied.

- Hesam Mahzoon
- J. Applied Mathematics
- 2014

- Hesam Mahzoon, S. Latha
- 2009

In this note, we introduce the new operator Dp(λ, q, η). Using this operator, we define the new subclasses of analytic and multivalent functions and for functions belonging to these classes, certain (n, δ)neighborhood properties are obtained. Mathematics Subject Classification: 30C45

In this paper we define generalized differential operators from some wellknown operators on the class A(p) of analytic functions in the unit disk ∆ = {z ∈ C : |z| < 1}. New class containing these operators is investigated. Also univalence of integral operator is considered.

- Hesam Mahzoon, S. Latha, H. Mahzoon
- 2010

Let Ap be the class of analytic functions f which are of the form f(z) = z + ∞ ∑ m=p+1 am z , (p ∈ N = {1, 2, 3, ...}), defined in the open unit disk U = {z ∈ C : |z| < 1}. We introduce the class M(α, β, n, p) and also the subclass M?(α, β, n, p). The aim of the present paper is to derive some convolution properties for functions belonging to the class… (More)

- Hesam Mahzoon
- 2013

In this paper, we introduce the generalized integral operator Jp(σ, λ) and using this generalized integral operator, the new subclasses H n,m(b, σ, λ), Ln,m(b, σ, λ;μ), H n,m(b, σ, λ) and L n,m(b, σ, λ;μ) of the class of multivalent functions denoted by Tp(n) are defined. Further for functions belonging to these classes, certain properties of neighborhoods… (More)

- Hesam Mahzoon
- Int. J. Math. Mathematical Sciences
- 2011

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