q-Binomial formulae of Dixon’s type and the Fibonomial sums

Applicable Analysis and Discrete Mathematics

article

Wenchang Chu¹  Emrah Kılıç³ 

[1] School of Mathematics and Statistics Zhoukou Normal University Zhoukou;Department of Mathematics and Physics University of Salento;TOBB University of Economics and Technology Mathematics Department 06560 S¨og¨ut¨oz¨u Ankara Turkey

关键词: Basic hypergeometric series;    Gaussian q-binomial coefficient;    q-Dixon sum;    Fibonomial coefficient;   

DOI  :  10.2298/AADM190406016C

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

Cubic sums of the Gaussian q-binomial coefficients with certain weight functions will be evaluated in this paper. To realize this, we will derive tworemarkable formulae by means of the Carlitz–Sears transformation on terminating well–poised q-series. As consequences, several summation formulae onFibonomial coefficients are presented by specializing the value of base q inour q-series identities.

【 授权许可】

Unknown