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- 저자 : Mahzoon, Mojtaba (검색결과 6 건)
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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.
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Neighborhoods of p-valent functions
Hesam Mahzoon,S. Latha 장전수학회 2013 Proceedings of the Jangjeon mathematical society Vol.16 No.1
In this paper, we the new subclasses of p - valent functions of complexorder denoted by Hpn,m(q, λ, b), Lpn,m(q, λ, b; μ), Hp,n,m(q, λ, b) and Lp,n,a,m(q, λ, b; μ)are introduced. Further for functions belonging to these classes, certain propertiesof neighborhoods are studied.
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NEIGHBORHOODS OF p -VALENT FUNCTIONS
HESAM MAHZOON,S. LATHA 장전수학회 2010 Advanced Studies in Contemporary Mathematics Vol.20 No.1
In this paper, we the new subclasses of p - valent functions of complex order denoted byHp n,m(q, ⋋, b),Lpn,m(q, ⋋,b; μ),Hp,a,n,m(q, ⋋, b) and Lp,a,n,m(q, ⋋, b; μ)are introduced. Further for functions belonging to these classes, certain properties of neighborhoods are studied
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Control of mixing process in a novel micro-mixer
Behzad Otrodi,Mohammad Eghtesad,Mojatba Mahzoon,Saeid movahed 제어로봇시스템학회 2012 제어로봇시스템학회 국제학술대회 논문집 Vol.2012 No.10
There are many different types of micro-mixers which have been designed to enhance mixing efficiency of fluid flow in micro-channels. The output of micro-channels integrated with micro-mixers in some cases may need to be in a certain range. In this article we design a new type of micro-mixer by utilizing conductive surfaces and walls with variable zeta potential. Interaction of the induced charged electro-kinetic (ICEK) phenomenon (due to existence of conductive surfaces) and producing diverse electro-osmotic boundary velocity (because of presence of walls with changeable zeta potential) together lead to increase mixing efficiency of the system significantly. Numerical simulation are performed to analyze the system and the results show that by using this micro-mixer with different zeta potential applied to walls, we can have a wide range of mixing efficiency between 30% and 85%. Moreover, we applied a fuzzy logic controller (FLC) to the system to manage the percentage of mixing efficiency within this range. This controller based on desired mixing efficiency; determine the amount of zeta potential on each wall and thus we can reach the amount of required mixing efficiency.
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Shafiee, Ali A.,Daneshmand, Farhang,Askari, Ehsan,Mahzoon, Mojtaba Techno-Press 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.50 No.1
A semi-analytical method is developed to consider free vibrations of a functionally graded elastic plate resting on Winkler elastic foundation and in contact with a quiescent fluid. Material properties are assumed to be graded distribution along the thickness direction according to a power-law in terms of the volume fractions of the constituents. The fluid is considered to be incompressible and inviscid. In the analysis, the effect of an in-plane force in the plate due to the weight of the fluid is taken into account. By satisfying the compatibility conditions along the interface of fluid and plate, the fluid-structure interaction is taken into account and natural frequencies and mode shapes of the coupled system are acquired by employing energy methods. The results obtained from the present approach are verified by those from a finite element analysis. Besides, the effects of volume fractions of functionally graded materials, Winkler foundation stiffness and in-plane forces on the dynamic of plate are elucidated.
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Ali A. Shafiee,Farhang Daneshmand,Ehsan Askari,Mojtaba Mahzoon 국제구조공학회 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.50 No.1
A semi-analytical method is developed to consider free vibrations of a functionally graded elastic plate resting on Winkler elastic foundation and in contact with a quiescent fluid. Material properties are assumed to be graded distribution along the thickness direction according to a power-law in terms of the volume fractions of the constituents. The fluid is considered to be incompressible and inviscid. In the analysis, the effect of an in-plane force in the plate due to the weight of the fluid is taken into account. By satisfying the compatibility conditions along the interface of fluid and plate, the fluid-structure interaction is taken into account and natural frequencies and mode shapes of the coupled system are acquired by employing energy methods. The results obtained from the present approach are verified by those from a finite element analysis. Besides, the effects of volume fractions of functionally graded materials, Winkler foundation stiffness and in-plane forces on the dynamic of plate are elucidated.
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