On Koenigs' ratios for iterates of real functions
1969 ◽
Vol 10
(1-2)
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pp. 207-213
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Keyword(s):
In a recent note, M. Kuczama [5] has obtained a general result concerning real solutions φ(x) on the interval 0 ≦ x < a ≦∞ of the Schröder functional equation providing the known real function satisfies the following (quite weak) conditions: f(x) is continuous and strictly increasing in ([0 a);(0) = 0 and 0 <f(x) <x for x ∈ (0, a); limx→0+ {f(x)/x} = s; and f(x)/x is monotonic in (0, a).
2012 ◽
Vol 85
(2)
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pp. 202-216
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Keyword(s):
2012 ◽
Vol 85
(2)
◽
pp. 191-201
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Keyword(s):
1977 ◽
Vol 16
(1)
◽
pp. 15-47
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Keyword(s):
1878 ◽
Vol 9
◽
pp. 332-333
1988 ◽
Vol 30
(1)
◽
pp. 75-85
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2017 ◽
Vol 96
(3)
◽
pp. 479-486
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Keyword(s):
2018 ◽
Vol 97
(3)
◽
pp. 459-470
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1969 ◽
Vol 12
(6)
◽
pp. 837-846
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