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- ...[[reductive group]]s over [[local field]]s, where the functions studied by Whittaker are essentially the case where the local field is the real numbers and the Whittaker's equation is ...8 KB (1,134 words) - 10:26, 15 November 2020
- ...lated to the functions ''D<sub>p</sub>''(''x'') (a notation dating back to Whittaker (1902)) that are themselves sometimes called parabolic cylinder functions ( Function ''D<sub>a</sub>(z)'' was introduced by Whittaker and Watson as a solution of eq.~({{EquationNote|1}}) with <math>\tilde a=-\ ...5 KB (794 words) - 14:06, 25 March 2019
- *{{Citation | last1=Whittaker | first1=E. T. |authorlink1=E. T. Whittaker| last2=Watson | first2=G. N. | authorlink2=G. N. Watson|title=A Course in M ...7 KB (1,109 words) - 16:18, 28 October 2020
- ...aker function]]s''' (for [[Edmund Taylor Whittaker]]) are solutions to '''Whittaker's equation'''. ...' are solutions to the '''Coulomb wave equation'''. The Kummer functions, Whittaker functions, and Coulomb wave functions are essentially the same, and differ ...23 KB (3,634 words) - 20:07, 5 November 2020
- ...tant]]. (Note that somewhat confusingly at the time of Barnes <ref>[[E. T. Whittaker]] and [[G. N. Watson]], "[[A Course of Modern Analysis]]", CUP.</ref> the [ ...11 KB (1,765 words) - 00:09, 3 November 2020
- *{{Cite book|authorlink=E. T. Whittaker |first=E. T. |last=Whittaker |first2=G. N. |last2=Watson |authorlink2=G. N. Watson |title=A Course in Mo ...28 KB (4,239 words) - 06:08, 1 October 2020
- ...Hermite functions are closely related to the [[Whittaker function]] {{Harv|Whittaker|Watson|1996}} {{math|''D''<sub>''n''</sub>(''z'')}}: *{{Citation |last1=Whittaker |first1=E. T. |authorlink1=E. T. Whittaker |last2=Watson |first2=G. N.|authorlink2=G. N. Watson |title=[[A Course of M ...50 KB (7,880 words) - 00:35, 13 September 2020
- ...n of the polylogarithm and the orthogonality of the exponential terms (see e.g. [[discrete Fourier transform]]). ...may be quite generally represented by a [[Hankel contour]] integral {{harv|Whittaker|Watson|1927|loc=§ 12.22, § 13.13}}, which extends the Bose–Einstein represe ...55 KB (8,182 words) - 13:18, 13 September 2020
- ...gral. For instance, when the real part of {{math|''z''}} is positive,<ref>Whittaker and Watson, 12.2 example 1.</ref> ...n states that, when the real part of {{math|''z''}} is positive, then:<ref>Whittaker and Watson, 12.31.</ref> ...72 KB (11,210 words) - 04:19, 5 November 2020
- ...u can reach this information by clicking the link in the most left column, e.g., [[Gold 1]]. | [[Whittaker function#math.95.0| Whittaker function]] ...245 KB (19,900 words) - 14:58, 1 September 2021
- * {{cite book | last1= Whittaker | first1= E.T. |authorlink1=E. T. Whittaker | last2= Watson | first2= G.N.|authorlink2=G. N. Watson | name-list-style= ...37 KB (5,507 words) - 22:23, 19 October 2020
- ...ely, ''M''<sub>''k'',''m''</sub> and ''W''<sub>''k'',''m''</sub> are the [[Whittaker function]]s, and constant scale factors have been applied to the functions ...48 KB (7,600 words) - 02:27, 13 September 2020
- ...(for a more detailed survey on the history of the functional equation, see e.g. Blagouchine<ref>[http://www.mathnet.ru/php/seminars.phtml?&presentid=1933 ...power <math>\zeta^r</math> is to be replaced by <math>\zeta(r)</math>, so e.g. for <math>k=2</math> we have <math> \int_{0}^{\infty} \frac{x ^ {n}e^x} ...61 KB (9,264 words) - 00:31, 10 November 2020
- ...f the major functions:<ref name="W&W">{{cite book |last1=Whittaker |first1=E.T. |last2=Watson |first2=G.N.|date=1940 |title=A Course in Modern Analysis | ...42 KB (6,752 words) - 21:05, 28 October 2020