Recent content by bqllpd

Define a shift polynomial sequence operator as S=\sum_{i=0}^mc_i\mathbf E^i where \mathbf E is the shift operator and c_i are some constants, variables, functions, etc. When S is applied to a sequence \{a_n\}, then S(a)_n=\sum_{i=0}^mc_i\mathbf E^ia_n. If S is composed with itself k times...

I need help developing a theory of a general "shift function sequence transform" I'm new here and this is my first post. In 1999 I read part of "The Book of Numbers" by John Conway and Richard Guy and came across a section titled "Jackson's difference fans". In their book, there's no mention...