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- W2325497029 abstract "The purpose of our paper is to deal with some growth problem of two composite entire functions of finite (p,q)-order and some properties of growth of f ◦g, f and g. Some results are obtained as follows: Let f,g be two entire functions and have index-pair (p1,q1), (p2,q2), respectively. Let f ◦g have index-pair (p3,q3). Then we have the following conclusions: (i) if p2+1 −q1 > 0, then p3 = p1+ p2 −q1+1 ⇐⇒ q3 = q2; (ii) if p2 +1 −q2 = 0, then p3 = p1 ⇐⇒ q3 = q2; (iii) if p2+1 −q1 < 0, then p3 = q1 ⇐⇒ q3 = q1+q2 − p2 −1. These results are some improvement and generalization of the form theorems given by Gross, Lahiri, Tu." @default.
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- W2325497029 date "2013-01-01" @default.
- W2325497029 modified "2023-10-16" @default.
- W2325497029 title "The applications on some inequalities of the composition of entire functions" @default.
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- W2325497029 doi "https://doi.org/10.7153/jmi-07-69" @default.
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