{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,22]],"date-time":"2026-04-22T06:55:07Z","timestamp":1776840907963,"version":"3.51.2"},"reference-count":18,"publisher":"American Mathematical Society (AMS)","issue":"266","license":[{"start":{"date-parts":[[2009,8,28]],"date-time":"2009-08-28T00:00:00Z","timestamp":1251417600000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>\n                    Algorithms for the explicit symbolic and numeric evaluation of Jacquet\u2019s Whittaker function for the\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper G upper L left-parenthesis n comma double-struck upper R right-parenthesis\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>G<\/mml:mi>\n                            <mml:mi>L<\/mml:mi>\n                            <mml:mo stretchy=\"false\">(<\/mml:mo>\n                            <mml:mi>n<\/mml:mi>\n                            <mml:mo>,<\/mml:mo>\n                            <mml:mrow class=\"MJX-TeXAtom-ORD\">\n                              <mml:mi mathvariant=\"double-struck\">R<\/mml:mi>\n                            <\/mml:mrow>\n                            <mml:mo stretchy=\"false\">)<\/mml:mo>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">GL(n,\\mathbb {R})<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    based generalized upper half-plane for\n                    <inline-formula content-type=\"math\/mathml\">\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"n greater-than-or-equal-to 2\">\n                        <mml:semantics>\n                          <mml:mrow>\n                            <mml:mi>n<\/mml:mi>\n                            <mml:mo>\n                              \u2265\n                              \n                            <\/mml:mo>\n                            <mml:mn>2<\/mml:mn>\n                          <\/mml:mrow>\n                          <mml:annotation encoding=\"application\/x-tex\">n\\ge 2<\/mml:annotation>\n                        <\/mml:semantics>\n                      <\/mml:math>\n                    <\/inline-formula>\n                    , and an implementation for symbolic evaluation in the Mathematica package GL(n)pack, are described. This requires a comparison of the different definitions of Whittaker function which have appeared in the literature.\n                  <\/p>","DOI":"10.1090\/s0025-5718-08-02158-3","type":"journal-article","created":{"date-parts":[[2009,12,1]],"date-time":"2009-12-01T13:09:23Z","timestamp":1259672963000},"page":"1061-1072","source":"Crossref","is-referenced-by-count":1,"title":["Evaluating Jacquet\u2019s \ud835\udc06\ud835\udc0b(\ud835\udc27) Whittaker function"],"prefix":"10.1090","volume":"78","author":[{"given":"Kevin","family":"Broughan","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2008,8,28]]},"reference":[{"issue":"2","key":"1","doi-asserted-by":"publisher","first-page":"761","DOI":"10.1063\/1.1634351","article-title":"On the integration of products of Whittaker functions with respect to the second index","volume":"45","author":"Becker, Peter A.","year":"2004","journal-title":"J. Math. Phys.","ISSN":"https:\/\/id.crossref.org\/issn\/0022-2488","issn-type":"print"},{"key":"2","unstructured":"K. Broughan, The \ud835\udc3a\ud835\udc3f(\ud835\udc5b)pack manual. Appendix to Automorphic forms and L-functions for the group \ud835\udc3a\ud835\udc3f(\ud835\udc5b,\ud835\udc45). Cambridge University Press, 2006."},{"issue":"2","key":"3","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/BF01163653","article-title":"Poincar\u00e9 series for \ud835\udc3a\ud835\udc3f(\ud835\udc5b): Fourier expansion, Kloosterman sums, and algebreo-geometric estimates","volume":"196","author":"Friedberg, Solomon","year":"1987","journal-title":"Math. 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