Whipple求和公式的双重和模拟式及多重二项和的受限求和公式
A double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sums
AI总结:
该研究证明了Whipple的{}_3F_2求和公式的双重和模拟式,并将其应用得到Igarashi参数化多重zeta级数特殊情形下多重二项和的受限求和公式
AI中文摘要:
我们证明了Whipple的{}_3F_2求和公式的双重和模拟式;作为应用,建立了多重二项和的受限求和公式,该公式是Igarashi参数化多重zeta级数的特殊情形
英文摘要:
We prove a double-sum analogue of Whipple's ${}_3F_2$ summation formula. As an application, we establish a restricted sum formula for multiple binomial sums, which arise as special cases of Igarashi's parametrized multiple zeta series.