Structural instability of exponential functions

Ye, Zhuan

doi:10.1090/S0002-9947-1994-1242788-8

Structural instability of exponential functions
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Trans. Amer. Math. Soc. 344 (1994), 379-389 Request permission

Abstract:

We first prove some equivalent statements on J-stability of families of critically finite entire functions. Then, with these in hand, a conjecture concerning stability of the family of exponential functions is affirmatively answered in some cases.

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