Let ! be a complex variable. We associate a polynomial in !, denoted ( M N ) ! , to any two molecular species M=M(X) and N=N(X) by means of a binomial-type expansion of the form In the special case M(X)=X m , the species of linear orders of length m, the above formula reduces to the classical binom
Inequalities for Binomial Coefficients
✍ Scribed by Zoltán Sasvári
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 41 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
✦ Synopsis
Let r ) 1 and s ) 0 be arbitrary real numbers. Using Stirling's formula, n n Ž n.
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## Abstract We consider the expression and investigate for which __k__ and __n__ is __P__(__k__, __n__) an integer. We find integer solutions __k__ and __m__ of the equation __P__(__k__, __n__) = __m__ for a given integer __m__ and approximate real solutions __x__ = __x__(__k__) of the equation __