【摘要】 为了提出研究Lagrange反演关系的统一方法,Krattenthaler建立了算子方法,并由此得到一个广泛的反演关系:Gould-Hsu-Carliz-Krattenthaler反演公式.本文利用Lagrange插值公式给出它的一个简短证明,进一步地证明在Lagrange插值的意义下,该反演关系是唯一性的.更多还原

【Abstract】 With an effort to investigate a unified approach to the Lagrange inverse, Krattenthaler established operator method and finally found a general pair of inverse relations, called the Krattenthaler formulas. The present paper presents a very short proof of this formula via Lagrange interpolation. Further more, our method of proof declares that the Krattenthaler result is unique in the light of Lagrange interpolation.更多还原