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A Recurrence Relation for Gaussian Multinomial Coefficients

In: Applications of Fibonacci Numbers

Author

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  • S. L. Lee
  • G. M. Phillips

Abstract

Recently we have obtained some new results concerning interpolation on the simplex (Lee and Phillips [2]). As a by-product of these researches we discovered the recurrence relation (9), which appears to be new and which we find interesting in its own right. We did not discuss this recurrence relation explicitly in [2], where it would have appeared as an isolated curiosity, nor will we retrace here the tortuous path through the work on interpolation which led us to it. In this note we present the recurrence relation in an appropriate combinatorial context.

Suggested Citation

  • S. L. Lee & G. M. Phillips, 1990. "A Recurrence Relation for Gaussian Multinomial Coefficients," Springer Books, in: G. E. Bergum & A. N. Philippou & A. F. Horadam (ed.), Applications of Fibonacci Numbers, pages 239-240, Springer.
  • Handle: RePEc:spr:sprchp:978-94-009-1910-5_27
    DOI: 10.1007/978-94-009-1910-5_27
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