…
►Spenceley and Spenceley (1947) tabulates , , , , for and to 12D, or 12 decimals of a radian in the case of .
►Curtis (1964b) tabulates , , for , , and (not ) to 20D.
…
►Zhang and Jin (1996, p. 678) tabulates , , for and to 7D.
…
►Figure 22.4.1 illustrates the locations in the -plane of the poles and zeros of the three principal Jacobian functions in the rectangle with vertices , , , .
…
►Figure 22.4.2 depicts the fundamental unit cell in the -plane, with vertices , , , .
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►This half-period will be plus or minus a member of the triple ; the other two members of this triple are quarter periods of .
…
…
►They are algebraic functions of , , and , and have primitive period .
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►Lamé–Wangerin functions are solutions of (29.2.1) with the property that is bounded on the line segment from to .
…
Abramowitz and Stegun (1964, Chapter 8) tabulates for
, , 5–8D; for
, , 5–7D; and
for , , 6–8D;
and for ,
, 6S; and for
, , 6S.
(Here primes denote derivatives with respect to .)
Zhang and Jin (1996, Chapter 4) tabulates for
, , 7D; for
, , 8D; for
, , 8S; for
, , 8D; for
, , , , 8S; for
, , 8S; for
, , , 5D;
for , , 7S;
for , , 8S. Corresponding values of the derivative of
each function are also included, as are 6D values of the first 5 -zeros of
and of its derivative for ,
.
Žurina and Karmazina (1964, 1965) tabulate the conical functions
for ,
, 7S;
for ,
, 7D.
Auxiliary tables are included to facilitate computation for larger values of
when .
Žurina and Karmazina (1963) tabulates the conical functions
for ,
, 7S;
for ,
, 7S.
Auxiliary tables are included to assist computation for larger values of
when .