In 1973, Gould and Hsu proved an important reciprocal theorem. The inverse relations determined by the theorem are useful in combinatorial computation, proof of identities and interpolation process. In the present not...In 1973, Gould and Hsu proved an important reciprocal theorem. The inverse relations determined by the theorem are useful in combinatorial computation, proof of identities and interpolation process. In the present note, we shall establish the multivariate ver-展开更多
With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we finally found a general pair of inverse relations,called the Krattenthaler formulas.The present pap...With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we 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.our method of proof declares that the Krattenthaler result is unique in the light of Lagrange interpolation.展开更多
文摘In 1973, Gould and Hsu proved an important reciprocal theorem. The inverse relations determined by the theorem are useful in combinatorial computation, proof of identities and interpolation process. In the present note, we shall establish the multivariate ver-
文摘With an effort to investigate a unified approach to the Lagrange inverse Krattenthaler established operator method we 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.our method of proof declares that the Krattenthaler result is unique in the light of Lagrange interpolation.
