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| On Primality of the Combination of Exponential Functions |
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Citation： |
Song Guodong.On Primality of the Combination of Exponential Functions[J].Chinese Annals of Mathematics B,1985,6(4):433~438 |
| Page view： 747
Net amount： 760 |
Authors： |
Song Guodong; |
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| Abstract： |
The author discusses in this paper the transcendental unsolvability of the functional equation F(z) =f\cdot g(z) with f being meromorphic and g entire, [for the function of the form
$F(z)=[\sum\limits_{j = 1}^m {{Q_j}(z){e^{{P_j}(z)}}} \]$,
where Q_j's are rational, P_j's are polynomials. The main results are:
a) F(z) is pseudo-prime, i. e. F=f\circ g has no transcendental solutions f and g;
b) If 0\leq n_1 |
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