By making use of divided differences, new proofs are presented for Dougall's summation theorem for well-poised -series and Whipple's transformation between well-poised -series and balanced -series. Several new summation formulae of higher order are established, including three identities of Fox–Wright function and an extension of Karlsson–Minton formula.

中文翻译：

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划分的差异和终止良好平衡的超几何级数

通过利用划分的差异，提出了Dougall 的良好平衡级数求和定理和Whipple 的良好平衡级数和平衡级数之间的变换的新证明。建立了几个新的高阶求和公式，包括 Fox-Wright 函数的三个恒等式和 Karlsson-Minton 公式的扩展。