Some q-series inversion formulae

A. G. Shannon
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 13, 2007, Number 2, Pages 15–18
Full paper (PDF, 37 Kb)

Details

Authors and affiliations

A. G. Shannon
Warrane College, The University of New South Wales, Kensington 1465, &
Raffles KvB, 99 Mount Street, North Sydney, NSW 2065, Australia

Abstract

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 based on extensions of ideas initially developed by Leonard Carlitz.

Keywords

• q-series
• Binomial coefficients
• Möbius function
• Rising factorials
• Exponential functions

AMS Classification

• 11B65
• 11B39
• 05A30

References

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