Gustafson-Rakha型椭圆超几何级数
Gustafson-Rakha-Type Elliptic Hypergeometric Series
摘要：
本文证明了由Spiridonov证明的Jackson求和公式的一个多元椭圆推广。这个结果的三角极限情况是由于古斯塔夫森和Rakha。作为应用，我们得到了两个进一步的多变量椭圆Jackson求和和两个多变量椭圆Bailey变换。后四个结果即使在三角函数的情况下都是新的。
英文摘要：
We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further multivariable elliptic Jackson summations and two multivariable elliptic Bailey transformations. The latter four results are all new even in the trigonometric case.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
