generalized%20Mehler%E2%80%93Fock%20transformation
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11: 23 Weierstrass Elliptic and Modular
Functions
12: Bibliography O
13: Staff
Daniel W. Lozier, General Editor, NIST (retired)
William P. Reinhardt, University of Washington, Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, Chaps. 20, 22, 23
William P. Reinhardt, University of Washington, for Chaps. 20, 22, 23
Peter L. Walker, American University of Sharjah, for Chaps. 20, 22, 23
14: 16.24 Physical Applications
§16.24 Physical Applications
►§16.24(i) Random Walks
►Generalized hypergeometric functions and Appell functions appear in the evaluation of the so-called Watson integrals which characterize the simplest possible lattice walks. … ►§16.24(iii) , , and Symbols
… ►The coefficients of transformations between different coupling schemes of three angular momenta are related to the Wigner symbols. …15: Publications
16: 9.18 Tables
Miller (1946) tabulates , for , for ; , for ; , for ; , , , (respectively , , , ) for . Precision is generally 8D; slightly less for some of the auxiliary functions. Extracts from these tables are included in Abramowitz and Stegun (1964, Chapter 10), together with some auxiliary functions for large arguments.
Zhang and Jin (1996, p. 337) tabulates , , , for to 8S and for to 9D.
Sherry (1959) tabulates , , , , ; 20S.