In this article we prove an algebraic identity which significantly generalizes the formula for sum of powers of consecutive integers involving Stirling numbers of the second kind. Also we have obtained a generalization of Newton-Girard power sum identity.

中文翻译：

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广义幂和与牛顿-吉拉德恒等式

在本文中，我们证明了一个代数恒等式，该代数恒等式概括了涉及第二类斯特林数的连续整数的幂和的公式。我们也得到了牛顿-吉拉德幂和恒等式的推广。