Sequence factorial of g-gonal numbers

• Autores: Muniru A. Asiru
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 44, Nº. 4, 2013, págs. 579-586
• Idioma: inglés
• DOI: 10.1080/0020739x.2012.729684
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• Resumen

  • The gamma function, which has the property to interpolate the factorial whenever the argument is an integer, is a special case (the case g?=?2) of the general term of the sequence factorial of g-gonal numbers. In relation to this special case, a formula for calculating the general term of the sequence factorial of any g-gonal number was obtained after considering some specific cases. Important properties on functional equations of g-gonal sequence factorials are derived.