On Positive Harmonic Functions in a Half-Plane
1935 ◽
Vol 31
(4)
◽
pp. 482-507
◽
Keyword(s):
1. Let ξ, η denote the rectangular Cartesian coordinates of a point in a plane. Let J (ξ, η) denote a harmonic function which is positive in the half-plane η > 0. In this paper, we first show (Theorem I) that every such function J determines a non-negative number d, and a bounded non-diminishing function G(x), such that
1948 ◽
Vol 44
(2)
◽
pp. 289-291
◽
Keyword(s):
1949 ◽
Vol 45
(2)
◽
pp. 207-212
◽
1944 ◽
Vol 62
(1)
◽
pp. 31-36
1984 ◽
Vol 95
(1)
◽
pp. 123-133
◽
Keyword(s):
1972 ◽
Vol 15
(2)
◽
pp. 219-223
◽
Keyword(s):
1987 ◽
Vol 30
(3)
◽
pp. 471-477
◽
1995 ◽
Vol 38
(1)
◽
pp. 35-52
◽
Keyword(s):
1948 ◽
Vol 44
(2)
◽
pp. 155-158
◽
1993 ◽
Vol 113
(1)
◽
pp. 147-151
◽