Evaluation of various partial sums of Gaussian q-binomial sums

EVALUATION OF SUMS INVOLVING GAUSSIAN q-BINOMIAL COEFFICIENTS WITH RATIONAL WEIGHT FUNCTIONS

We consider sums of the Gaussian q-binomial coefficients with a parametric rational weight function. We use the partial fraction decomposition technique to prove the claimed results. We also give some interesting applications of our results to certain generalized Fibonomial sums weighted with finite products of reciprocal Fibonacci or Lucas numbers.

Partial Sums of Two Quartic q-Series

X iv :0 90 4. 34 53 v1 [ m at h. C A ] 2 2 A pr 2 00 9 Symmetry, Integrability and Geometry: Methods and Applications SIGMA 5 (2009), 050, 19 pages Partial Sums of Two Quartic q-Series Wenchang CHU † and Chenying WANG ‡ † Dipartimento di Matematica, Università degli Studi di Salento, Lecce-Arnesano P. O. Box 193, Lecce 73100, Italy E-mail: [email protected] ‡ College of Mathematics and Phys...

on direct sums of baer modules

the notion of baer modules was defined recently

Binomial Sums and Identities

Generalising Tuenter’s binomial sums

Tuenter [Fibonacci Quarterly 40 (2002), 175-180] and other authors have considered centred binomial sums of the form Sr(n) = ∑