Open AccessNEW ANALYSIS OF WITTAKER FUNCTIONS
Author(s) -
Shahwar F. Ragab
Publication year - 1990
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.21.1990.4675
Subject(s) - mathematics , product (mathematics) , bessel function , combinatorics , mathematical analysis , geometry
Integrals involving products of two Whittaker functions and Bessel functions are evaluated in §§ 3,4. Also the integrals \[ \int_0^\infty t^{\rho-1}W_{k_1m}(t)W_{-k_1m}(t)W_{\mu, \nu}\left(\frac{2iz}{t}\right)W_{\mu, \nu}\left(-\frac{2iz}{t}\right)\ dt\]and\[ \int_0^\infty t^{\rho-1}W_{k_1m}(t)W_{-k_1m}(t)W_{\mu, \nu}(2zt)W_{-\mu, \nu}(2zt)\ dt\]are evaluated in § 5 while in § 6 integrals involving the product of three Whittaker functions are established.