%0 Journal Article
%T AN IDENTITY OF q-DIFFERENTIAL OPERATOR AND ITS APPLICATIONS<br>q-微分算子的一个恒等式及其应用
%A Liu Zhiguo
%A <br>刘治国
%J 系统科学与数学
%D 1998
%I 
%X An identity of q-differential operator is proved by the Leibniz formula ofq-diffrerntial operator. Some results including the known Sears' transformation and the orthogonal relation of Al--Salam-Carlitz are derived in a natural way. An extension of Askey-Roy betaintegral is also obtained.
%K q-Series
%K q-differential operator
%K Sears' transformation
%K Askey-Roy integral
%K orthogonal relation of Al-Salam-Carlitz<br>q-级数
%K q-微分算子
%K Sears变换
%K Al－Salam－Carlitz正交关系
%K Askey－Roy积分
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=5FBC0B795A7B0DC053F9D74F4282DDF0&yid=8CAA3A429E3EA654&vid=13553B2D12F347E8&iid=38B194292C032A66&sid=4AD4BA66429F5627&eid=170CE8B011EA4FD9&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0