Abstract
The present paper continues my researches in the theory of gamma functions. Previously to a certain extent I obtained known results by new methods: none of the succeeding investigations how ever have, I believe, been undertaken or suggested by other mathematicians. In the first paper published in the connection I attempted to give a homogeneous theory of the ordinary gamma function, considered from the point of view of Weierstrass’ function theory. I introduced a parameter
ω
, and showed that the theory was subordinate to that of a function satisfying the difference equation
f
(
z
+
ω
) -
f
(
z
) =
z
′,
s
being any complex quantity.
Subject
General Earth and Planetary Sciences,General Environmental Science
Cited by
210 articles.
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