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We give several sharp estimates for some initial coefficients problems for the so-called gamma starlike functions $f$, analytic and univalent in the unit disk $\mathbb{D}:=\{z\in\mathbb{C}:|z|<1\}$, and normalized so that $f(0)=0=f'(0)-1$, and satisfying $\real \Big[\Big(1+\frac{zf''(z)}{f'(z)}\Big)^{\gamma } \Big(\frac{zf'(z)}{f(z)}\Big)^{1-\gamma}\Big]>0$.
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참고문헌 (9)
참고문헌 신청
R. M. Ali / 2003 / Coeffcients of the inverse of strongly starlike functions / Bull. Malays. Math. Sci. Soc. (2) 26(1):63~71
M. Darus / 1998 / ${\alpha}$ -logarithmically convex functions / Indian J. Pure Appl. Math. 29(10):1049~1059
A. Janteng / 2007 / Hankel determinant for starlike and convex functions / Int. J. Math. Anal. (Ruse) 1(13-16):619~625
P. K. Kulshrestha / 1974 / Coeffcients for alpha-convex univalent functions / Bull. Amer. Math. Soc. 80:341~342
Z. Lewandowski / 1974 / Gamma-starlike functions / Ann. Univ. Mariae Curie-Sk lodowska Sect. A 28:53~58
M. Darus / 1998 /
A. Janteng / 2007 / Hankel determinant for starlike and convex functions / Int. J. Math. Anal. (Ruse) 1(13-16):619~625
P. K. Kulshrestha / 1974 / Coeffcients for alpha-convex univalent functions / Bull. Amer. Math. Soc. 80:341~342
Z. Lewandowski / 1974 / Gamma-starlike functions / Ann. Univ. Mariae Curie-Sk lodowska Sect. A 28:53~58
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