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Sokol, Janusz,Murugusundaramoorthy, Gangadharan,Kothandabani, Thilagavathi Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.2
For a sufficiently adequate special case of the Dziok-Srivastava linear operator defined by means of the Hadamard product (or convolution) with Srivastava-Wright convolution operator, the authors investigate several mapping properties involving various subclasses of analytic and univalent functions, $G({\lambda},{\alpha})$ and $M({\lambda},{\alpha})$. Furthermore we discuss some inclusion relations for these subclasses to be in the classes of k-uniformly convex and k-starlike functions.
Coefficient Estimates in a Class of Strongly Starlike Functions
Sokol, Janusz Department of Mathematics 2009 Kyungpook mathematical journal Vol.49 No.2
In this paper we consider some coefficient estimates in the subclass $SL^*$ of strongly starlike functions defined by a certain geometric condition.
Design of corrugated sheets exposed to fire
Zden k Sokol,František Wald,Petra Kallerová 국제구조공학회 2008 Steel and Composite Structures, An International J Vol.8 No.3
This paper presents results of fire tests on corrugated sheets used as load bearing structure of roofs of industrial buildings. Additional tests of bolted sheet connections to the supporting structure at ambient and elevated temperatures are described. Three connection types were tested and their resistance, stiffness and deformation capacity was evaluated. Finite element simulations of the corrugated sheet based on the experimental observations are briefly described and design models are presented.
On Coefficients of a Certain Subclass of Starlike and Bi-starlike Functions
Mahzoon, Hesam,Sokol, Janusz Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.3
In this paper we investigate a subclass 𝓜(α) of the class of starlike functions in the unit disk |z| < 1. 𝓜(α), π/2 ≤ α < π, is the set of all analytic functions f in the unit disk |z| < 1 with the normalization f(0) = f'(0) - 1 = 0 that satisfy the condition $$1+\frac{{\alpha}-{\pi}}{2\;sin\;{\alpha}}<Re\{\frac{zf^{\prime}(z)}{f(z)}\}<1+\frac{{\alpha}}{2\;sin\;{\alpha}}\;(z{\in}{\Delta})$$. The class 𝓜(α) was introduced by Kargar et al. [Complex Anal. Oper. Theory 11: 1639-1649, 2017]. In this paper some basic geometric properties of the class 𝓜(α) are investigated. Among others things, coefficients estimates and bound are given for the Fekete-Szegö functional associated with the k-th root transform [f(z<sup>k</sup>)]<sup>1/k</sup>. Also a certain subclass of bi-starlike functions is introduced and the bounds for the initial coefficients are obtained.
A CRITERION FOR BOUNDED FUNCTIONS
Nunokawa, Mamoru,Owa, Shigeyoshi,Sokol, Janusz Korean Mathematical Society 2016 대한수학회보 Vol.53 No.1
We consider a sufficient condition for w(z), analytic in ${\mid}z{\mid}$ < 1, to be bounded in ${\mid}z{\mid}$ < 1, where $w(0)=w^{\prime}(0)=0$. We apply it to the meromorphic starlike functions. Also, a certain Briot-Bouquet differential subordination is considered. Moreover, we prove that if $p(z)+zp^{\prime}(z){\phi}(p(z)){\prec}h(z)$, then $p(z){\prec}h(z)$, where $h(z)=[(1+z)(1-z)]^{\alpha}$, under some additional assumptions on ${\phi}(z)$.
Coefficient Bounds for Several Subclasses of Analytic and Biunivalent Functions
Rahrovi, Samira,Piri, Hossein,Sokol, Janusz Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.2
In the present paper, some generalizations of analytic functions have been considered and the bounds of the coefficients of these classes of bi-univalent functions have been investigated.
ON A CLASS OF STARLIKE FUNCTIONS RELATED WITH BOOTH LEMNISCATE
R. KARGAR,J. SOKOL,A. EBADIAN,L. TROJNAR-SPELINA 장전수학회 2018 Proceedings of the Jangjeon mathematical society Vol.21 No.3
Let A be the class of normalized analytic functions. We study the class BS(α) as follows BS(α) := { f ∈ A : (zf'(z)/ f(z) - 1) ≺ z/1-αx2, |z| < 1}, where "≺" is the subordination relation and 0 ≤ α < 1. Also, we consider the class BK(α), including of all functions f ∈ A such that zf'(z) ∈ BS(α). In the present article, some properties of the classes BS() and BK() are investigated.