In this paper, we introduce a class Tk(λ, α1, p, q, s, ρ). We investigate a number of inclusion relationships, radius problem and some other interesting properties of p-valent functions which are defined here by means of a certain linear integral operator Hp,q,s(α1). 2000 Mathematics Subject Classification: 30C45, 30C50.

A new class of multivalent holomorphic functions with complex order in terms of subordination is introduced. We find some properties of this class like, sufficient coefficient bound, integral operator and Feketo-Szego problem. AMS Mathematics Subject Classification (2000): Primary 30C45; Secondary 30C80

In this paper, we derive some properties for Gp,n,l,δ(z) and Fp,n,l,δ(z) considering the classes MT (p, βi, μi) , KD (p, βi, μi) and Np (γ). Two new subclasses KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ1, δ2, ..., δn) are defined. Necessary and sufficient conditions for a family of functions fi and gi, respectively, to be in the KDFp,n,l (β, μ, δ1, δ2, ..., δn) and KDGp,n,l (β, μ, δ...

By means of the generalized fractional calculus operator, we introduce and investigate a subclass of p−valent functions with negative coefficients. We obtain the coefficient estimates, distortion bounds for the class. Furthermore, we discuss inclusion relationship involving the neighborhood result of the same. Mathematics Subject Classification: 30C45

The objective of this paper is to obtain an upper bound to the second Hankel determinant |ap+1ap+3 − ap+2| for p-valent starlike and convex functions of order α, using Toeplitz determinants. AMS Mathematics Subject Classification (2010): 30C45, 30C50

By introducing a new subcalss of p-valent functions with respect to (j, k)-symmetric points, we have obtained the integral representations and conditions for starlikeness by using differential subordination. Some already known results have been, incidentally, shown to be particular cases of the main results of the paper.

In this paper, we introduce new general integral operators. New sufficient conditions for these operators to be p-valently starlike, p-valently close-to-convex, uniformly p-valent close-to-convex and strongly starlike of order γ (0 < γ ≤ 1) in the open unit disk are obtained.

and Applied Analysis 3 2. Some Properties of the Classes ∑∗ λ p, n, α and ∑λ c p, n, α Theorem 2.1. If f z ∈ ∑ p, n satisfies ∣ ∣ ∣ ∣ ( zf z )eiλ/ p−α cosλ { e zf ′ z f z α cosλ ip sinλ } ( p − α cosλ ∣ ∣ ∣ ∣ < n √ n2 1 ( p − α cosλ z ∈ U , 2.1 then f z ∈ ∑∗λ p, n, α . Proof. Let us set a function h z by h z 1 z ( zf z )eiλ/ p−α cosλ 1 z ean ( p − α cosλ n · · · 2.2 for f z ∈ ∑ p, n . Then clea...

Abstract The aim of this paper is to investigate various inclusion relations and some other properties of a certain subclasses Λp,k(α,A,B, n) and Λ ∗ p,k(α,A,B, n) of meromorphically p-valent analytic funtions with negative coefficients which are defined here by means of a linear operator. The familier concept of neighborhoods of analytic functions is also extended and applied to the functions ...

iron (in zero-valent and oxide forms) is used to remove numerous organic and inorganic contaminants in environment. however, there are few reports, especially in nano scale, on the remediation of heavy metals contaminated soils using zero-valent iron in the literature. in this study, the effect of iron on the availability of heavy metals was evaluated in a calcareous soil spiked with cadmium, z...