q-Pochhammer%20symbol
(0.003 seconds)
11—20 of 288 matching pages
11: 34.13 Methods of Computation
§34.13 Methods of Computation
βΊMethods of computation for and symbols include recursion relations, see Schulten and Gordon (1975a), Luscombe and Luban (1998), and Edmonds (1974, pp. 42–45, 48–51, 97–99); summation of single-sum expressions for these symbols, see Varshalovich et al. (1988, §§8.2.6, 9.2.1) and Fang and Shriner (1992); evaluation of the generalized hypergeometric functions of unit argument that represent these symbols, see Srinivasa Rao and Venkatesh (1978) and Srinivasa Rao (1981). βΊFor symbols, methods include evaluation of the single-sum series (34.6.2), see Fang and Shriner (1992); evaluation of triple-sum series, see Varshalovich et al. (1988, §10.2.1) and Srinivasa Rao et al. (1989). …12: 34.9 Graphical Method
§34.9 Graphical Method
βΊThe graphical method establishes a one-to-one correspondence between an analytic expression and a diagram by assigning a graphical symbol to each function and operation of the analytic expression. …For specific examples of the graphical method of representing sums involving the , and symbols, see Varshalovich et al. (1988, Chapters 11, 12) and Lehman and O’Connell (1973, §3.3).13: 8 Incomplete Gamma and Related
Functions
…
14: 28 Mathieu Functions and Hill’s Equation
…
15: 8.26 Tables
…
βΊ
•
…
βΊ
•
…
βΊ
•
…
βΊ
•
Khamis (1965) tabulates for , to 10D.
Abramowitz and Stegun (1964, pp. 245–248) tabulates for , to 7D; also for , to 6S.
Pagurova (1961) tabulates for , to 4-9S; for , to 7D; for , to 7S or 7D.
Zhang and Jin (1996, Table 19.1) tabulates for , to 7D or 8S.
16: 23 Weierstrass Elliptic and Modular
Functions
…
17: Bibliography R
…
βΊ
On the definition and properties of generalized - symbols.
J. Math. Phys. 20 (12), pp. 2398–2415.
…
βΊ
…
βΊ
Calculation of -
symbols by Labarthe’s method.
International Journal of Quantum Chemistry 63 (1), pp. 57–64.
…
βΊ
Another proof of the triple sum formula for Wigner -symbols.
J. Math. Phys. 40 (12), pp. 6689–6691.
…
βΊ
The - and -
Symbols.
The Technology Press, MIT, Cambridge, MA.
…
18: 36 Integrals with Coalescing Saddles
…
19: GergΕ Nemes
…
βΊAs of September 20, 2021, Nemes performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 25 Zeta and Related Functions.
…
20: Wolter Groenevelt
…
βΊAs of September 20, 2022, Groenevelt performed a complete analysis and acted as main consultant for the update of the source citation and proof metadata for every formula in Chapter 18 Orthogonal Polynomials.
…