The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation formulae are obtained.
假定 R 是主要理想的 ring.R *是的一个趋于增加的组在 R ，和 Mn (R)由所有可逆元素组成， GL ( n ， R )， SL ( n ， R )被表示由， R *)， SL ( n ， R )={ gGL ( n ， R )| detg=1 )， SL ( n ， R ) GGL ( n ， R )( n3 )分别地，然后基于这些事实，主要，讨论的焦点都扩大了的这份报纸Gr=组织{( AB OD ) G|AGL ( r ， R )，( 1rn )}在 G 当 R 是主要理想时，响。
The purpose of this paper is to establish some identities with products of qHermite polynomials, q-ultraspherical polynomials and reciprocals of q-binomial coefficients.
A conjecture posed by Melham for Un2k+Un+12k in [2] is considered in this article.Several positive results on Vn+s2k +(-1)k(p2-4)kUn2k and V n2k+(-1)k(p2-4)kUn+s2k are achieved which generalize existed results on V n+12-(p2-4)Un2 and Vn2-(p2-4)Un+12.
