Cubic sums of q-binomial coefficients and the Fibonomial coefficients
MetadataShow full item record
Triple product sums on the generalized Fibonomial and Lucanomial coefficients are evaluated in closed forms by means of Bailey’s summation formulae for two terminating well-poised 3?2-series.
Showing items related by title, author, creator and subject.
Evaluation of sums involving products of Gaussian q-binomial coefficients with applications to Fibonomial sums Kılıç, Emrah; Prodinger, Helmut (Scientific Technical Research Council TurkeyTürkiye bilimsel ve teknolojik araştırma kurumu, 2017)Sums of products of two Gaussian q-binomial coefficients with a parametric rational weight function are considered. The partial fraction decomposition technique is used to evaluate the sums in closed form. Interesting ...
Kılıç, Emrah; Akkuş, İlker (De Gruyter Open Ltd, 2018-06-26)Recently Marques and Trojovsky [On some new identities for the Fibonomial coefficients, Math. Slovaca 64 (2014), 809-818] presented interesting two sum identities including the Fibonomial coefficients and Fibonacci numbers. ...
Kılıç, Emrah; Prodinger, Helmut (World Scientific Publishing Co. Pte Ltd, 2016-03)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 ...