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This paper considers some q-extensions of binomial coefficients formed from rising factorial coefficients. Some of the results are applied to a Möbius Inversion Formula and an exponential based on extensions of ideas initially developed by Leonard Carlitz.
- Fermatian functions
- Binomial coefficients
- Möbius function
- Rising factorials
- Hermite polynomials
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- Jia. C.Z., H.M. Liu, T.M. Wang, q-analogs of Generalized Fibonacci and Lucas Polynomials. The Fibonacci Quarterly. 451, 2007, 26-34.
- Shannon, AG. Some Generalized Binomial Coefficients. Notes on Number Theory and Discrete Mathematics. 13, 1, 2007, 25-30.
- Shannon, AG. Some q-Series Inversion Formulae. Notes on Number Theory and Discrete Mathematics. 13, 2, 2007, 15-18.
Cite this paperAPA
Shannon, A. G. (2007). Some Fermatian inversion formulae. Notes on Number Theory and Discrete Mathematics, 13(4), 7-10.Chicago
Shannon, AG. “Some Fermatian Inversion Formulae.” Notes on Number Theory and Discrete Mathematics 13, no. 4 (2007): 7-10.MLA
Shannon, AG. “Some Fermatian Inversion Formulae.” Notes on Number Theory and Discrete Mathematics 13.4 (2007): 7-10. Print.