ß-reciprocal polynomials

• Christopher S. Withers ^[2] ; Saralees Nadarajah ^[1]
  1. [1] University of Manchester

     University of Manchester

     Reino Unido

     
  2. [2] Industrial Research Limited
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 47, Nº. 5, 2016, págs. 762-766
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • new class of polynomials pn(x) known as ß-reciprocal polynomials is defined. Given a parameter that is not a root of -1, we show that the only ß-reciprocal polynomials are pn(x) = xn. When ß is a root of -1, other polynomials are possible. For example, the Hermite polynomials are i-reciprocal, .