q-binomial formulae of Dixon`s type and the Fibonomial sums | Zendy

Wenchang Chu | Zendy; Emrah Kılıç | Zendy

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q-binomial formulae of Dixon`s type and the Fibonomial sums

Author(s) -

Wenchang Chu,

Emrah Kılıç

Publication year - 2020

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm190406016c

Subject(s) - mathematics , gaussian binomial coefficient , binomial coefficient , binomial theorem , binomial approximation , series (stratigraphy) , central binomial coefficient , base (topology) , binomial (polynomial) , type (biology) , value (mathematics) , transformation (genetics) , pure mathematics , negative binomial distribution , discrete mathematics , mathematical analysis , statistics , paleontology , ecology , biochemistry , chemistry , gene , poisson distribution , biology

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

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