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Multiple Sums of Circular Binomial Products

Author

Listed:
  • Marta Na Chen

    (School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China)

  • Wenchang Chu

    (Department of Mathematics and Physics, University of Salento, 73100 Lecce, Italy)

Abstract

Five classes of multiple sums about circular products of binomial coefficients are investigated. Their generating functions are explicitly expressed as rational functions, with coefficients being Fibonacci and Lucas numbers. This is fulfilled by a novel approach called “recursive construction”, which also permits us to establish, for the circular sums, both generating functions and recurrence relations through the Lagrange expansion formula.

Suggested Citation

  • Marta Na Chen & Wenchang Chu, 2024. "Multiple Sums of Circular Binomial Products," Mathematics, MDPI, vol. 12(12), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:12:p:1855-:d:1414694
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