๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A Generalization of Two q-Identities of Andrews

โœ Scribed by Kuo-Jye Chen; H.M. Srivastava


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
87 KB
Volume
95
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

โœฆ Synopsis


The main object of the present paper is to give a unification (and generalization) of two interesting q-identities which were proven recently by George E. Andrews. Some related results involving the Fibonacci numbers are also considered.

2001


๐Ÿ“œ SIMILAR VOLUMES


A generalization of Q-admissibility
โœ Burton Fein; Murray Schacher ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 887 KB
q-generalization of a ballot problem
โœ C. Krattenthaler; S.G. Mohanty ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 721 KB

n-dimensional lattice paths which do not touch the hyperplanes xi-xi + I = -1, i = 1,2, , n -1, and x,-x1 = -1 -K arc enumerated by certain statistics, one of which is MacMahon's major index, the others being variations of it. By a reflection-like proof, a formula involving determinants is obtained.

q-Extensions of identities of Abel-Rothe
โœ Warren P. Johnson ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 629 KB

The ordinary binomial theorem may be expressed in the statement that the polynomials x" are of binomial type. Several generalizations of the binomial theorem can be stated in this form. A particularly nice one, essentially due to Rothe, is that the polynomials a,(x; h,w)= ## x(x+h+nw)(x+2h+nw)...(x