On sums of squares of Fibonomial coefficients by q-calculus

Küçük Resim Yok

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

WORLD SCIENTIFIC PUBL CO PTE LTD

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

We present some new kinds of sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. As proof method, we will follow the method given in [E. Kili, c and H. Prodinger, Closed form evaluation of sums containing squares of Fibonomial coefficients, accepted in Math. Slovaca]. For this, first we translate everything into q-notation, and then to use generating functions and Rothe's identity from classical q-calculus.

Açıklama

Anahtar Kelimeler

Central Fibonomial coefficients, q-analysis, sums identities, q-identities

Kaynak

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS

WoS Q Değeri

N/A

Scopus Q Değeri

Q3

Cilt

9

Sayı

3

Künye