FORMULAS FOR WEIGHTED BINOMIAL SUMS USING THE POWERS OF TERMS OF BINARY RECURRENCES

Kilic E., ULUTAS Y. T. , ÖMÜR N.

MISKOLC MATHEMATICAL NOTES, cilt.13, ss.53-65, 2012 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 13 Konu: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.18514/mmn.2012.345
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Sayfa Sayısı: ss.53-65

Özet

In this paper, we give general formulas for some weighted binomial sums, using the powers of terms of certain binary recurrences. As an applications of our results, we show that the weighted binomial sums of the generalized Fibonacci and Lucas numbers can be expressed via the second kinds of Chebyshev polynomials and Stirling numbers.