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In this paper, we extend some results related to the growth rates of entire functions by introducing the relative logarithmic order $\rho _{g}^{l}(f)$ of a nonconstant entire function $f$ with respect to another nonconstant entire function $g.$ Next we investigate some theorems related the behavior of $\rho _{g}^{l}(f)$. We also define the relative logarithmic$\ $proximate order of $f$ with respect to $g$ and give some theorems on it.
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참고문헌 (7)
참고문헌 신청
L. Bernal / 1988 / Orden relative de crecimiento de funciones enteras / Collect. Math 39:209~229
P. T. Y. Chern / 2005 / On meromorphic functions with finite logarithmic order / Amer. Math. Soc 358(2):473~489
I. Chyzhykov / 2009 / Finiteness of φ-order of solutions of linear dif-ferential equations in the unit disc / J. Anal. Math 109:163~198
O. P. Juneja / 1976 / On the (p, q)−order and lower (p, q)−order of an entire function / Journal fur die Reine und Angewandte Mathematik 282:53~67
D. Sato / 1963 / On the rate of growth of entire functions of fast growth / Bull. Amer. Math. Soc 69:411~414
P. T. Y. Chern / 2005 / On meromorphic functions with finite logarithmic order / Amer. Math. Soc 358(2):473~489
I. Chyzhykov / 2009 / Finiteness of φ-order of solutions of linear dif-ferential equations in the unit disc / J. Anal. Math 109:163~198
O. P. Juneja / 1976 / On the (p, q)−order and lower (p, q)−order of an entire function / Journal fur die Reine und Angewandte Mathematik 282:53~67
D. Sato / 1963 / On the rate of growth of entire functions of fast growth / Bull. Amer. Math. Soc 69:411~414
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