Closed form evaluation of sums containing squares of Fibonomial coefficients

In: Mathematica Slovaca, vol. 66, no. 3

Emrah Kiliç - Helmut Prodinger

Detaily:

Rok, strany: 2016, 757 - 765

Kľúčové slová:

central Fibonomial coefficients, $q$-analysis, sums identities

DOI: https://doi.org/10.1515/ms-2015-0177

O článku:

We give a systematic approach to compute certain sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. The technique is to rewrite everything in terms of a variable $q$, and then to use generating functions and Rothe's identity from classical $q$-calculus.

Ako citovať:

ISO 690:

Kiliç, E., Prodinger, H. 2016. Closed form evaluation of sums containing squares of Fibonomial coefficients. In Mathematica Slovaca, vol. 66, no.3, pp. 757-765. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0177

APA:

Kiliç, E., Prodinger, H. (2016). Closed form evaluation of sums containing squares of Fibonomial coefficients. Mathematica Slovaca, 66(3), 757-765. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0177

O vydaní:

Publikované: 1. 6. 2016