Strategies on the evaluation of binomial coefficients for all integers

Yukcu N., Öztekin E.

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, cilt.53, sa.1, ss.1-7, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 1
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1134/s0965542513010119
  • Dergi Adı: COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-7
  • Anahtar Kelimeler: binomial coefficients, factorials, SLATER-TYPE ORBITALS, FOURIER-TRANSFORM METHOD, OVERLAP INTEGRALS, NUMBERS
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Binomial coefficients are used in many fields such as computational and applied mathematics, statistics and probability, theoretical physics and chemistry. For accurate numerical results, the correct calculation of these coefficients is very important. We present some new recurrence relationships and numerical methods for the evaluation of binomial coefficients for negative integers. For this purpose, we give some comparisons of the outputs for different computer programming languages in case of negative integers, and also we wrote two new algorithms for computations.