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Difference polynomials : ウィキペディア英語版 | Difference polynomials
In mathematics, in the area of complex analysis, the general difference polynomials are a polynomial sequence, a certain subclass of the Sheffer polynomials, which include the Newton polynomials, Selberg's polynomials, and the Stirling interpolation polynomials as special cases. ==Definition== The general difference polynomial sequence is given by : where is the binomial coefficient. For , the generated polynomials are the Newton polynomials : The case of generates Selberg's polynomials, and the case of generates Stirling's interpolation polynomials.
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