Abstract
We establish some new properties and identities of Generalized Gaussian Numbers (GGN) which are defined recently in [10, 11] parallel to those of Gaussian coefficients. We present generating functions and some properties which are very useful for GGN. We obtain some family of sequences which are unimodal and present the log-concavity property of GGN. Finally, we give a connection of GGN to the Rogers-Szego polynomials.
Acknowledgment
The authors wish to thank the referees for their valuable remarks. This research is supported by Yildiz Technical University Research Support Unit. (2011-03-DOP01)
Citation
Esengül Saltürk. İrfan Şiap. "ON GENERALIZED GAUSSIAN NUMBERS." Albanian J. Math. 6 (2) 87 - 102, 2012. https://doi.org/10.51286/albjm/1356162281
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