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MULTIFOLD ANALOGUES OF GOULD-HSU INVERSIONS AND THEIR APPLICATIONS

MULTIFOLD ANALOGUES OF GOULD-HSU INVERSIONS AND THEIR APPLICATIONS
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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.
作者 初文昌
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1989年第3期262-268,共7页 应用数学学报(英文版)
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