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1
Content available remote Classes of p-valent analytic function
100%
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2000
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tom Vol. 33, nr 1
55-63
2
Content available remote Equivalence of analytic and rational functions
80%
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1997
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tom 66
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nr 1
37-42
EN
We give a criterion for a real-analytic function defined on a compact nonsingular real algebraic set to be analytically equivalent to a rational function.
3
Content available remote Some inequalities involving multivalent functions
80%
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nr 2
159-162
EN
The object of the present paper is to derive some inequalities involving multivalent functions in the unit disk. One of our results is an improvement and a generalization of a result due to R. M. Robinson [4].
4
Content available remote Properties of analytic functions defined by an integral operator
80%
EN
In this paper we present some properties for the analytic functions in the open unit disc U defined by an integral operator.
5
Content available remote Spaces of analytic functions of two complex variables
80%
6
Content available remote Domains of analytic existence in real Frechet spaces
80%
EN
If E is a real separable Frechet space, we prove that every non void domain Omega of E is open for a continuous semi-norm is a domain of analytic existence. In particular, every non void, open and convex subset Omega of E is a domain of analytic existence. Moreover, this result cannot be improved in the case of an arbitrary real separable Frechet space. In fact, in the space omega of real sequences, a non void domain Omega is a domain of analytic existence if and only if Omega is open for a continuous semi-norm.
7
Content available Spaces of D-paraanalytic elements
73%
EN
CONTENTS Introduction..............................................................................5 1. Preliminaries........................................................................5 2. Spaces of smooth elements.................................................8 3. Spaces of D-analytic elements...........................................21 4. Spaces of D-paraanalytic elements....................................32 5. Characterization of .D-paraanalytic elements by means of property (c) and canonical mappings.............39 6. D-R paraanalytic functions .................................................47 7. Smooth elements in Leibniz D-algebras..............................59 8. Weak E-solutions................................................................63 9. Linear systems with scalar coefficients...............................79 10. Linear boundary value problems .....................................82 References.............................................................................97
EN
In this work we define a new operator using the extended generalized Sălăgean operator and extended Ruscheweyh operator. Denote by DRm,nλ the Hadamard product of the extended generalized Sălăgean operator Dmλ and extended Ruscheweyh operator Rn, given by DRm,nλ : [...] is the class of normalized analytic functions with [...]. The purpose of this paper is to introduce sufficient conditions for strong differential subordination and strong differential superordination involving the operator DRm,nλ and also to obtain sandwich-type results.
EN
In this paper, we obtain some subordination and superordination-preserving results of the generalized Srivastava-Attyia operator. Sandwich-type result is also obtained.
10
Content available remote Multidimensional Riemann-Hilbert type problems in Leibniz algebras with logarithms
60%
EN
Riemann-Hilbert type problems in Leibniz algebras with logarithms have been studied in PR[8] (cf. Chapter 14). These problems correspond to such classical problems when the Cauchy transformation is an involution. It was shown that this involution is not multiplicative. On the other hand, in the same book equations with multiplicative involutions were considered. These results can be applied to equations with an involutive transformation of argument, in particular, to equations with transformed argument by means of a function of Carleman type. Riemann-Hilbert type problems with an additional multiplicative involution in commutative Leibniz algebras with logarithms are examined in PR[13]. Results obtained there can be applied not only to problems with a transformation of argument but also to problems with the conjugation (in the complex sense). In the present paper there are considered similar problems in several variables with Riemann- Hilbert condition posed on each variable separately. For instance, these problems correspond in the classical case to problems for polyanalytic functions on polydiscs (cf. HD[1], Ms[1).
EN
Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.
EN
Air leakage of auxiliary ventilation ducting systems is the most common reason for the insufficient fresh air in the working face in underground mine. This value is important design parameter for mine auxiliary ventilation system that operates more effectively, with lower cost. Therefore, determination of air leakage along auxiliary ventilation ducting systems has been examined. Also, factors which affect air leakage in the ducting system have been investigated. Experimental data are made on 0.7 m and 1 m diameter ducts over sections of ducts installing towards the working face in Quang Ninh mine.
13
51%
EN
The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. These results are obtained by investigating appropriate class of admissible functions. Various known or new special cases of our results are.
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.
15
Content available remote A class of univalent functions involving a differentio-integral operator
51%
EN
This paper focuses on a generalized linear operator Im which is a combination of both differential and integral operators. Involving this operator, a class Tsk(...) with respect to k-symmetric points is defined. Results based on coefficient inequalities and bounds for this class are obtained. Various integral representations and some consequent results for TS(...) class are also determined. Further, results on partial sums are discussed.
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.
17
Content available remote Applications of a first order differential subordination for analytic functions
51%
EN
In the paper, we define classes of analytic functions, in terms of subordination. By using Jack's Lemma and the Briot-Bouquet differential subordination we obtain some inclusion relations for defined classes.
EN
We investigate the third Hankel determinant problem for some starlike functions in the open unit disc, that are related to shell-like curves and connected with Fibonacci numbers. For this, firstly, we prove a conjecture, posed in [17], for sharp upper bound of second Hankel determinant. In the sequel, we obtain another sharp coefficient bound which we apply in solving the problem of the third Hankel determinant for these functions.
19
Content available remote Certain subordination results on the convolution of analytic functions
41%
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].
20
Content available remote On T-neighborhoods of analytic functions
41%
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