摘要
By means of difference calculus, a multifold analog of Gould-Hsu inversion is established. Asconcrete examples, some multifold inverse relations are presented. By developing a standard prooftechnique for combinatorial identities, we demonstrate Mohanty-Hanna's convolution formulas almostmechanically. In addition, an application of reciprocal formulas to interpolation process is alsosketched.
By means of difference calculus, a multifold analog of Gould-Hsu inversion is established. Asconcrete examples, some multifold inverse relations are presented. By developing a standard prooftechnique for combinatorial identities, we demonstrate Mohanty-Hanna's convolution formulas almostmechanically. In addition, an application of reciprocal formulas to interpolation process is alsosketched.