Weisner's method: Difference between revisions

Revision as of 05:46, 5 October 2022

Latest revision as of 01:20, 13 May 2024

(2 intermediate revisions by 2 users not shown)

Line 1:

{{format footnotes |date=May 2024}}

In [[mathematics]], '''Weisner's method''' is a method for finding [[generating function]]s for [[special function]]s using [[representation theory]] of [[Lie group]]s and [[Lie algebra]]s, introduced by {{harvtxt|Weisner|1955}}. It includes [[Truesdell's method]] as a special case, and is essentially the same as [[Rainville's method]].

Line 5 ⟶ 6:

==References==

*{{Citation | last1=McBride | first1=Elna Browning | title=Obtaining generating functions | publisher=[[Springer-Verlag]] | ___location=Berlin, New York | series=Springer Tracts in Natural Philosophy | isbn=978-0-387-05255-7 | mr=0279355 | year=1971 | volume=21 | url-access=registration | url=https://archive.org/details/obtaininggenerat0000mcbr }}

*{{Citation | last=Miller | first=Willard Jr.| title=Review of ''Obtaining Generating Functions'' by Elna B. McBride | journal=[[Canadian Mathematical Bulletin]] | year=1974 | volume=17 | issue=3 | pages=447–448| url=https://books.google.com/books?id=eCvriuu28BgC&pg=PA448}}

*{{Citation | last1=Weisner | first1=Louis | title=Group-theoretic origin of certain generating functions | url=http://projecteuclid.org/euclid.pjm/1172000968 | mr=0086905 | year=1955 | journal=[[Pacific Journal of Mathematics]] | issn=0030-8730 | volume=5 | issue=6 | pages=1033–1039 | doi=10.2140/pjm.1955.5.1033| doi-access=free }}

[[Category:Generating functions]]

{{math-stub}}