Chapter 41- Convolution Recurrences from Inter Sequence Polynomials (CRISP)

Chapter44 (3)The convolution of sequences using ISPs and their derivatives were described in a previous Chapter (see Chapter 36).  The Convolution Recurrences from Inter Sequence Polynomials (CRISP) program is designed to find the coefficients of second order and third order convolutions.  The  order of these sequences is found to be the sum of the orders or the component sequences.  By using the ISPS it was possible to find closed forms of the recurrence coefficients of the second and third derivatives of any linear second and third order parent recurrence.   This program (Mathematica) is shown in the attached pdf.