New identity of an± bnexpression

  • Authors:

  • Asker Ali Abiyev

  • Affiliations:

  • -

  • Venue:
  • AICT'11 Proceedings of the 2nd international conference on Applied informatics and computing theory
  • Year:
  • 2011

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Abstract

A polynomial formula depending on a + b and ab arguments of an±bn expression was first put forward. The coefficients in the formula are easily determined from the table written by a special algorithm. The sums of the figures in each row of the triangles which are called Abiyev triangles make Lucas and Fibonacci sequences. New analytic formulae were found to write the table. The identities proposed in the article allow facilitating mathematical calculations in some fields of science and technology.