Polynomial identities that involve binomial coefficients, double and rising factorials and their probabilistic interpretations and proofs

Autor:	Szabłowski, Paweł J.
Rok vydání:	2022
Předmět:	Mathematics - Probability Mathematics - Combinatorics 05A10 15A19 05D40 (Primary) 11B65 11B73 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We formulate several polynomial identities. One side of these identities has a nice simple form. Whereas the other has a form of a polynomial whose coefficients contain binomial coefficients double factorials or (and) rising factorials. The origins and the proofs of these identities are probabilistic. However, their form suggests universal applications in simplifying expressions. Many useful simplifying formulae are presented in the sequel.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2206.02201 Zobrazit plný text záznamu View this record from Arxiv