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RISS 인기검색어
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- 저자 : Nihat Yagmur (검색결과 3 건)
- 무료
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- 유료
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HARDY SPACE OF LOMMEL FUNCTIONS
Yagmur, Nihat Korean Mathematical Society 2015 대한수학회보 Vol.52 No.3
In this work we present some geometric properties (like star-likeness and convexity of order ${\alpha}$ and also close-to-convexity of order ($1+{\alpha}$)/2) for normalized of Lommel functions of the first kind. In order to prove our main results, we use the technique of differential subordinations and some inequalities. Furthermore, we present some applications of convexity involving Lommel functions associated with the Hardy space of analytic functions, i.e., we obtain conditions for the function $h_{{\mu},{\upsilon}}(z)$ to belong to the Hardy space $H^p$.
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HARDY SPACE OF LOMMEL FUNCTIONS
Nihat Yagmur 대한수학회 2015 대한수학회보 Vol.52 No.3
In this work we present some geometric properties (like star- likeness and convexity of order α and also close-to-convexity of order (1 + α)/2) for normalized of Lommel functions of the first kind. In order to prove our main results, we use the technique of differential subordina- tions and some inequalities. Furthermore, we present some applications of convexity involving Lommel functions associated with the Hardy space of analytic functions, i.e., we obtain conditions for the function hμ,v(z) to belong to the Hardy space Hp.
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Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions
Orhan, Halit,Yagmur, Nihat,Caglar, Murat Department of Mathematics 2013 Kyungpook mathematical journal Vol.53 No.1
In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function $f(z)$ defined on the open unit disk for which $$\frac{{\lambda}{\beta}z^3(L(a,c)f(z))^{{\prime}{\prime}{\prime}}+(2{\lambda}{\beta}+{\lambda}-{\beta})z^2(L(a,c)f(z))^{{\prime}{\prime}}+z(L(a,c)f(z))^{{\prime}}}{{\lambda}{\beta}z^2(L(a,c)f(z))^{{\prime}{\prime}}+({\lambda}-{\beta})z(L(a,c)f(z))^{\prime}+(1-{\lambda}+{\beta})(L(a,c)f(z))}\;(0{\leq}{\beta}{\leq}{\lambda}{\leq}1)$$ lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives are obtained.
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