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[标准] 哑演算-umbral calculus

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发表于 2017-5-17 11:09:48 | 显示全部楼层 |阅读模式 | 百度 
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输入的解释:
umbral calculus
又名:
symbolic calculus
定义:
Roman describes umbral calculus as the study of the class of Sheffer sequences. Umbral calculus provides a formalism for the systematic derivation and classification of almost all classical combinatorial identities for polynomial sequences, along with associated generating functions, expansions, duplication formulas, recurrence relations, inversions, Rodrigues representation, etc., (e.g., the Euler-Maclaurin integration formulas, Boole´s summation formula, the Chu-Vandermonde identity, Newton´s divided difference interpolation formula, Gregory´s formula, Lagrange inversion).
相关主题:
Appell sequence | binomial theorem | Chu-Vandermonde identity | combinatorics | Faà di Bruno´s formula | finite difference | Sheffer sequence
主题分类:
MathWorld:
umbral calculus
MSC 2010:
05A40


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