The method of non-standard analysis （NSA） is used to construct a pair of hy-perstandard reciprocal formulas involving certain non-standard difference operators with real-number orders. Our main result consists of so...The method of non-standard analysis （NSA） is used to construct a pair of hy-perstandard reciprocal formulas involving certain non-standard difference operators with real-number orders. Our main result consists of some extensions of earlier results appearing previ-ously [5]. An essential meaning of the paper is to indicate the fact that only the basic idea of NSA is applicable to the construction of a unified pattern that may have certain applications to both the analysis and the number theory.展开更多
文摘The method of non-standard analysis （NSA） is used to construct a pair of hy-perstandard reciprocal formulas involving certain non-standard difference operators with real-number orders. Our main result consists of some extensions of earlier results appearing previ-ously [5]. An essential meaning of the paper is to indicate the fact that only the basic idea of NSA is applicable to the construction of a unified pattern that may have certain applications to both the analysis and the number theory.
