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Some Explanations of Dobinski's Formula
Author(s) -
Chen Beifang,
Yeh YeongNan
Publication year - 1994
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1994923191
Subject(s) - algebraic number , mathematics , regular polygon , operator (biology) , inversion (geology) , pure mathematics , algebra over a field , convex body , combinatorics , calculus (dental) , mathematical analysis , geometry , convex optimization , geology , paleontology , biochemistry , chemistry , repressor , structural basin , transcription factor , gene , medicine , dentistry
The geometric, algebraic, and combinatorial explanations of Dobinski's formula are presented by mixed volumes of compact convex sets, Möbius inversion, difference operator, and species. The employed method may be useful in proving some other combinatorial identities.