• Korean Journal of Mathematics
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• 제12권2호
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• pp.107-115
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• 2004

In this paper, the new subclass denoted by $S_p({\alpha},{\beta},{\xi},{\gamma})$ of $p$-valent holomorphic functions has been introduced and investigate the several properties of the class $S_p({\alpha},{\beta},{\xi},{\gamma})$. In particular we have obtained integral representation for mappings in the class $S_p({\alpha},{\beta},{\xi},{\gamma})$) and determined closed convex hulls and their extreme points of the class $S_p({\alpha},{\beta},{\xi},{\gamma})$.

• East Asian mathematical journal
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• 제5권1호
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• pp.35-47
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• 1989

Let $S_o*({\alpha},{\beta},{\mu})$ denote the class of functions $f(z)=a_1z-{\sum}{\limit}^{\infty}_{n=2}\;a_nz^n$ analytic in the unit disc $U=\{z:{\mid}z{\mid}<1\}$ and satisfying the condition $${\mid}\frac{\frac{zf'(z)}{f(z)}-1}{(1+\mu)\;\beta(\frac{zf'(z)}{f(z)}-\alpha)-(\frac{zf'(z)}{f(z)}-1)}\mid<1$$ for some $\alpha(0{\leq}{\alpha}<1),\;{\beta}(0<{\beta}{\leq}1),\;{\mu}(0{\leq}{\mu}{\leq}1)$ and for all $z{\in}U$. And it is the purpose of this paper to show a necessary and sufficient condition for the class $S_o*({\alpha},{\beta},{\mu})$, some results for the Hadamard products of two functions f(z) and g(z) in the class $S_o*({\alpha},{\beta},{\mu})$, the distortion theorem and the distortion theorems for the fractional calculus.

• 대한수학회보
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• 제37권4호
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• pp.755-764
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• 2000

We introduce a new class of functions $H_{\kappa}({\beta})$ which is related to close-to-star functions and we derive a few geometric properties for the class $H_{\kappa}({\beta}),{\;}(2{\leq}k{\kappa}{\leq}4)$.

• Kyungpook Mathematical Journal
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• 제28권2호
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• pp.147-154
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• 1988

For a positive integer p, $A_p$ will denote the class of functions $f(z)=z^p+\sum\limits^{\infty}_{n=p+1}a_nz^n$ which are analytic in the unit disc U = {z: |z| <1}. For $0{\leq}{\alpha}{\leq}1$, 0<${\beta}{\leq}1$, $0{\leq}{\lambda}$ $S_p({\alpha},{\beta},{\lambda})$ denote the class of functions $f(z){\in}A_p$ which satisfy the condition $\left|\frac{{\frac{zf^{\prime}(z)}{f(z)}}-p}{{{\alpha}{\frac{zf^{\prime}(z)}{f(z)}}+p-{\lambda}(1+{\alpha})}}\right|$<${\beta}$ for $z{\in}U$ In this paper we obtain a representation theorem for the class $S_p({\alpha},{\beta},{\lambda})$ and also derive distortion theorem and sharp estimates for the coefficients of this class.

• East Asian mathematical journal
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• 제5권2호
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• pp.135-150
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• 1989

In this paper, we define new classes $S*({\alpha},{\beta},{\gamma})$ and $C*({\alpha},{\beta},{\gamma})$ of T, the class of analytic and univalent functions with negative coefficients. We have sharp results concerning coefficients, distortion of functions belonging to these classes along with a. representation formular for the function in $S*({\alpha},{\beta},{\gamma})$ and $C*({\alpha},{\beta},{\gamma})$. Furthermore, we improve the results of Libera for the class of starlike functions having negative coefficients.

• 대한약학회:학술대회논문집
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• 대한약학회 2003년도 Proceedings of the Convention of the Pharmaceutical Society of Korea Vol.2-2
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• pp.249.2-250
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• 2003

${\beta}$-blockers are considered as standard therapy for patients with stable chronic heart failure (CHF) and to prolong survival and reduce hospitalizations. We examined the effects of the ${\beta}$-blocker on mortality, hospitalization and symptoms in patients with CHF and the related factors to the use of ${\beta}$-blockers. Patients in New York Heart Association class II-IV were included if they were treated for heart failure from January 2002 to June 2002. At baseline, 6 months, and 12 months, they were assessed for the change of NYHA class and all deaths and hospital admissions. (omitted)

• Kyungpook Mathematical Journal
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• 제29권2호
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• pp.133-139
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• 1989

A generalization class $\sum_{P}$(${\alpha}$, ${\beta}$, ${\gamma}$) of certain meromorphic univalent functions with positive coefficients is introduced. The class $\sum_{P}$(${\alpha}$, ${\beta}$, ${\gamma}$) is a generalization of the class which was stuied by N.E. Cho, S.H. Lee and S. Qwa [1]. The object of the present paper is to prove some properties of functions in the class $\sum_{P}$(${\alpha}$, ${\beta}$, ${\gamma}$).

• 대한수학회보
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• 제54권2호
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• pp.399-416
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• 2017

In this paper, we study a class of Finsler metrics called general (${\alpha},{\beta}$)-metrics, which are defined by a Riemannian metric ${\alpha}$ and a 1-form ${\beta}$. We show that every general (${\alpha},{\beta}$)-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general (${\alpha},{\beta}$)-metrics are constructed explicitly.

• Toxicological Research
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• 제8권2호
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• pp.331-342
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• 1992

The chicken major histocompatibility complex (MHC), the B complex, is beginning to be analyzed at the DNA level. Inbred lines of chickens have been reported to possess 3~5 MHC class II genes. To further analyzed the molecular structure of the chicken MHC class II genes, cDNA clones coding for chicken MHC class II (B-L) ${\beta}$ chain molecules were isolated from chicken spleen and liver. Tissue-specific transcription of B-L ${\beta}$genes was studied by Northern blot analysis. A high level of expression was detected for spleen poly(A)$^+$ RNA whereas a faint signal was detected for liver poly(A)$^+$ RNA. Twenty-nine cDNA clones were isolated from the spleen and eight cDNA clones were isolated from the liver. Based on restriction maps, most clones could be clustered into one family of genes. Four cDNA clones were sequenced (S7, S10 and S19 from the spleen and L1, which was identical to S19, from the liver). Complete amino acid sequences of B-L ${\beta}$ chain molecules were predicated from the nucleotide sequences of the cDNA clones. Although both the nature and the location of the conserved residues were similar in chicken and mammalian sequences, some species-specific differences were found, suggesting that the structures of the B-L molecules are similar, but not identical to their mammalian counterparts.

• 대한수학회지
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• 제31권2호
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• pp.319-323
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• 1994