parameter constraints
(0.002 seconds)
11—20 of 22 matching pages
11: 18.28 Askey–Wilson Class
…
βΊThe Askey–Wilson class OP’s comprise the four-parameter families of Askey–Wilson polynomials and of -Racah polynomials, and cases of these families obtained by specialization of parameters.
…
βΊThe polynomials are symmetric in the parameters
.
…
βΊ
18.28.2
,
,
…
βΊ
18.28.6
,
…
βΊDefine dual parameters
in terms of by
…
12: 19.16 Definitions
…
βΊThus is symmetric in the variables and if the parameters
and are equal.
…
βΊ
19.16.9
, , ,
…
βΊ
19.16.12
…
βΊ
is an elliptic integral iff the ’s are distinct and exactly four of the parameters
are half-odd-integers, the rest are integers, and none of , , is zero or a negative integer.
…
13: 10.32 Integral Representations
…
βΊ
10.32.13
.
…
14: 25.11 Hurwitz Zeta Function
…
βΊ
25.11.9
if ; if .
…
15: 10.40 Asymptotic Expansions for Large Argument
16: 10.22 Integrals
…
βΊ
10.22.8
.
…
βΊ
10.22.41
,
…
βΊEquation (10.22.70) also remains valid if the order of the functions on both sides is replaced by , , and the constraint
is replaced by .
…
βΊ
10.22.76
…
βΊ
10.22.77
…
17: 19.25 Relations to Other Functions
…
βΊ
19.25.2
βΊ
19.25.3
…
βΊ
19.25.4
.
…
βΊ
19.25.15
…
βΊThe three changes of parameter of in §19.7(iii) are unified in (19.21.12) by way of (19.25.14).
…
18: Errata
…
βΊ
§19.25(i)
…
βΊ
§20.10(i)
…
βΊ
Equation (25.10.3)
…
βΊ
Equation (5.11.14)
…
βΊ
Equation (4.8.14)
…
The constraint was added just above (19.25.1).
The constraint was added.
Reported by GergΕ Nemes on 2021-08-23
The previous constraint was removed, see Fields (1966, (3)).
The constraint was added.