A New Methodology for Extending the Domain of Successive Mathematical Operations

This is a paper, presented at the XXXVIII CNMAC Congress at Unicamp (Campinas, São Paulo). A poster was also presented in conjunction with it, which is reproduced below.

Original Title in Portuguese: Uma Nova Metodologia para a Extensão de Operações Matemáticas Sucessivas

ABSTRACT:


This work presents the definitions of the function classes termed successive product and successive sum, which are similar to, yet more generic than, usual products and summations, and discusses several of their properties. These functions extend standard recursions and provide results for values commonly defined by convention, such as the factorial of zero and the power 0 of 0.

The poster that was presented can be downloaded from https://www.linkedin.com/feed/update/urn:li:activity:7514788379486498816/

New Developments in Mathematics