Formulæ for multi-parameter Gaussian q-binomial sums with applications

Some Gaussian q -binomial sum identities from [3] are further generalized, introducing two additional parameters. We prove the claimed results by q -calculus. Finally we present applications to the generalized Fibonomial sums as corollaries.

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Bibliographische Detailangaben
Veröffentlicht in:	Indian journal of pure and applied mathematics 2020-06, Vol.51 (2), p.457-464
Hauptverfasser:	Kılıç, Emrah, Prodinger, Helmut
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Mathematics Mathematics and Statistics Numerical Analysis Parameters Sums
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Some Gaussian q -binomial sum identities from [3] are further generalized, introducing two additional parameters. We prove the claimed results by q -calculus. Finally we present applications to the generalized Fibonomial sums as corollaries.
ISSN:	0019-5588 0975-7465
DOI:	10.1007/s13226-020-0410-z