A non-standard generating function for continuous dual q-Hahn polynomials

 

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書誌詳細
著者: Atakishiyeva, Mesuma, Atakishiyev, Natig
フォーマット: artículo original
状態:Versión publicada
出版日付:2011
その他の書誌記述:We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials pn(x; a, b, c | q), which has surfaced in a recent work of the present authors on the construction of lifting q-difference operators in the Askey scheme of basic hypergeometric polynomials. We show that the resulting generating function identity for the continuous dual q-Hahn polynomials pn(x; a, b, c | q) can be explicitly stated in terms of Jackson’s q-exponential functions eq(z).
国:Portal de Revistas UCR
機関:Universidad de Costa Rica
Repositorio:Portal de Revistas UCR
言語:Español
OAI Identifier:oai:portal.ucr.ac.cr:article/2117
オンライン・アクセス:https://revistas.ucr.ac.cr/index.php/matematica/article/view/2117
キーワード:q-scheme of Askey
generating function
q-exponential function of Jackson
dual q-Hahn polynomials
esquema q de Askey
función generatriz
polinomios duales q-Hahn
función q-exponencial de Jackson