๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Complex generalized binomial coefficients

โœ Scribed by Gupta, Arjun K.; Nagar, Daya K.; Caro, Francisco J.


Book ID
120106346
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2006
Tongue
English
Weight
169 KB
Volume
14
Category
Article
ISSN
0926-6364

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Generalized Binomial Coefficients for Mo
โœ Pierre Auger; Gilbert Labelle; Pierre Leroux ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 351 KB

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

Nonnegativity results for generalized q-
โœ Susanna Fishel ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 585 KB

Let q be a prime number. The number of subgroups of order qk in an abelian group G of order qn and type 2 is a polynomial in q, [ak']~. In 1987, Lynne Butler showed that the first difference, I-~,'] -[ka-'~], has nonnegative coefficients as a polynomial in q, when 2k ~< 12[. We generalize the first

Generalized Binomial Coefficients and th
โœ John Konvalina ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 150 KB

Generalized binomial coefficients of the first and second kind are defined in terms of object selection with and without repetition from weighted boxes. The combinatorial definition unifies the binomial coefficients, the Gaussian coefficients, and the Stirling numbers and their recurrence relations