An Extension of the Almost Isolated Singularity of Finite Exponential Order
1964 ◽
Vol 14
(2)
◽
pp. 137-141
Keyword(s):
Let f(z) be represented on its circle of convergence |z| = 1 by the Taylor seriesand suppose that its sole singularity on |z| = 1 is an almost isolated singularity at z = 1. In the neighbourhood of such a singularity f(z) is regular on a sufficiently small disk, centre z = 1, with the outward drawn radius along the positive real axis excised. If also in this neighbourhood |f(z)| e−(1/δ)ρ remains bounded for some finite ρ, where δ is the distance from the excised radius, then the singularity is said to be of finite exponential order.
1970 ◽
Vol 22
(3)
◽
pp. 486-491
◽
Keyword(s):
1973 ◽
Vol 15
(1)
◽
pp. 78-85
Keyword(s):
1977 ◽
Vol 29
(1)
◽
pp. 180-192
◽
Keyword(s):
1996 ◽
Vol 76
(10)
◽
pp. 598-600
Keyword(s):
1994 ◽
Vol 32
(2)
◽
pp. 572-590
◽
1989 ◽
Vol 22
(7)
◽
pp. 767-782
◽
1976 ◽
Vol 54
(1)
◽
pp. 251-251
1974 ◽
Vol 11
(2)
◽
pp. 201-202
◽