论文标题
Q-Binomial系数用于负论点和一些Q-Binomial求和身份
The q-Binomial Coefficient for Negative Arguments and Some q-Binomial Summation Identities
论文作者
论文摘要
使用Q偏移阶乘的属性，证明了Q二项式系数的身份，该身份用于得出负面参数的Q-二项式系数的公式。结果与较早的论文一致，该论文介绍了负面论点的正常二项式系数。得出了一些新的Q-binomial求和身份，而负论点的公式相互转化了其中一些求和身份。一个Q二项式求和身份被转化为新的Q二项式求和身份。
Using a property of the q-shifted factorial, an identity for q-binomial coefficients is proved, which is used to derive the formulas for the q-binomial coefficient for negative arguments. The result is in agreement with an earlier paper about the normal binomial coefficient for negative arguments. Some new q-binomial summation identities are derived, and the formulas for negative arguments transform some of these summation identities into each other. One q-binomial summation identity is transformed into a new q-binomial summation identity.
