…
►
28.22.7
…
►where
,
are as in §
28.4(i), and
,
are as in §
28.5(i).
…
►
►
…
►Here
is given by (
28.14.1) with
, and
is given by (
28.24.1) with
,
, and
chosen so that
, where the maximum is taken over all integers
.
…
…
►Other solutions of (
10.2.1) include
,
,
, and
.
…
►
►
…
►
…
►
…
…
►An equivalent definition is that a plane partition is a finite subset of
with the property that if
and
, then
must be an element of
.
Here
means
,
, and
.
It is useful to be able to visualize a plane partition as a pile of blocks, one block at each lattice point
.
…
►A plane partition is
symmetric if
implies that
.
…
►A plane partition is
cyclically symmetric if
implies
.
…
…
►
►
…
►
10.11.7
►
10.11.8
…
►
…
…
►The main functions treated in this chapter are the Bessel functions
,
; Hankel functions
,
; modified Bessel functions
,
; spherical Bessel functions
,
,
,
; modified spherical Bessel functions
,
,
; Kelvin functions
,
,
,
.
…
►Abramowitz and Stegun (1964):
,
,
,
, for
,
,
,
, respectively, when
.
►Jeffreys and Jeffreys (1956):
for
,
for
,
for
.
…