Gamma and related functions generalized for sequences

• Autores: R.L. Ollerton
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 39, Nº. 1, 2008, págs. 124-131
• Idioma: inglés
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• Resumen

  • Given a sequence gk > 0, the 'g-factorial' product [image omitted] is extended from integer k to real x by generalizing properties of the gamma function G(x). The Euler-Mascheroni constant ? and the beta and zeta functions are also generalized. Specific examples include extending the Fibonacci factorial [image omitted] to the reals.