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EN
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
2
Content available remote Certain subordination results on the convolution of analytic functions
EN
In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions fi satisfying [wzór].
EN
In this paper, we obtain some subordination and superordination-preserving results of the generalized Srivastava-Attyia operator. Sandwich-type result is also obtained.
4
Content available remote New univalence criterions for special general integral operators
EN
In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are defined by the Hadamard product. Using the univalence criterions, we obtain new sucient conditions for these operators to be univalent in the open unit disk. We give some applications of the main results.
EN
The aim of this paper is to introduce two new classes of analytic function by using principle of subordination and the Dziok-Srivastava operator. We further investigate convolution properties for these calsses. We also nd necessary and sufficient condition and coefficient estimate for them.
EN
In this paper, we introduce and investigate a new class of multivalent functions by using the Hadamard product structure defined in the open unit disk. We obtain coefficient estimates, a distortion theorem, extreme points and criteria of starlikeness and convexity for functions which belong to our class. Relevant connections of the results with those obtained in earlier works are also pointed out.
EN
Boltzmann models from statistical physics, combined with methods from analytic combinatorics, give rise to efficient and easy-to-write algorithms for the random generation of combinatorial objects. This paper proposes to extend Boltzmann generators to a new field of applications by uniformly sampling a Hadamard product. Under an abstract real-arithmetic computationmodel, our algorithm achieves approximate-size sampling in expected time O(n.n) or O(n σ) depending on the objects considered, with . the standard deviation of smallest order for the component object sizes. This makes it possible to generate random objects of large size on a standard computer. The analysis heavily relies on a variant of the so-called birthday paradox, which can be modelled as an occupancy urn problem.
8
Content available remote Subclasses of univalent functions related with circular domains
EN
We investigate the family of functions normalized by the condition ƒ(0) = ƒ(0) - 1 = 0, that are analytic in the unit disk, with the property that the domain of values [...] is the disk |z-b| < b, b ≥ 1. Integral and convolution characterizations are found and coefficients bounds are given.
9
Content available remote On meromorphic multivalent functions defined with the use of linear operator
EN
In the present paper we introduce two classes of meromorphically multivalent functions and application of linear operators on these classes. We study various properties and coefficients bounds, the concept of neighbourhood also investigated.
EN
In this paper, we obtain sufficient condition involving coefficient inequalities for f(z) to in the class [...] of analytic functions defined in the open unit disk and satisfying the analytic criterion [...]. Our main result contain some interesting corollaries as special cases.
11
Content available remote A new class of multivalent analytic functions defined by the hadamard product
EN
The object of the present paper is to investigate the coefficients estimates, distortion properties, the radii of starlikeness and convexity, subordination theorems, partial sums and integral mean inequalities for classes of functions with two fixed points. Some remarks depicting consequences of the main results are also mentioned.
13
Content available remote Generalized classes of uniformly convex functions
EN
In this paper we introduce some subclasses of analytic functions with varying argument of coeffcients. These classes are defined in terms of the Hadamard product and generalize the well-known classes of uniformly convex functions. We investigate the coeffcients estimates, distortion properties, radii of starlikeness and convexity for defined classes of functions.
EN
The main object of the present paper is to investigate some interesting properties of certain meromorphically multivalent functions associated with the extended multiplier transformation.
EN
In the paper, we introduce a generalized class of k-starlike functions associated with Wright generalized hypergeometric functions and obtain the sequential subordination results and integral means inequalities. Some interesting consequences of our results are also pointed out.
EN
In our present work we obtained some interesting properties of convolution using the generalized Sâlâgean operator on univalent functions with rnissing coefficients, also we investigate other results by making use of subordination concept.
17
EN
In the present paper, we introduce a new subclass S(sup (j)) (sub p, λ) (α; a, c; φ) of multivalent functions involving the Cho-Kwon-Srivastava operator. Such results as inclusion relationships, coefficient estimates and convolution properties for this class are proved. The results presented here would provide extensions of those given in earlier works.
18
Content available remote The convexity of Hadamard product of three functions
EN
Let α, β, γ < and let f, g, h be analytic functions such that Re[f'(z)] ≥ α, Re[g'(z)] ≥ β, Re[h'(z)] ≥ γ in the unit disc U. In this paper we give a sufficient condition for the convexity of Hadamard product f *g *h in the unit dsc U.
EN
For a constant k ϵ [0, ∞) a normalized function f, analytic in the unit disk, is said to be k-uniformly convex if Re (1+z f" (z)/f'(z)) > k|zf"(z)/f'(z)| at any point in the unit disk. The class of k-uniformly convex functions is denoted k-UCV (cf. [8]). The function g is said to be k-starlike if g(z) = zf'(z) and f ϵ k-UCV. For analytic function f, where f(z) = z + a2z² + źźź the integral transformation is defined as follows: [wzór]. Generalized neighbourhood is defined as: [wzór]. In this note a problem of stability of the integral transformation of k-uniformly convex and k-starlike functions for TNδ neighbourhoods is investigated.
20
Content available remote Some parametric family of functions
EN
In the paper, we define classes of analytic functions, in terms of some linear operator. Coefficients estimates, distortion theorems, and the radii of convexity and starlikeness for this class of analytic functions are given here.
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