Composition of ordinary generating functions
Abstract
A solution is proposed for the problem of composition of ordinary generating functions. A new class of functions that provides a composition of ordinary generating functions is introduced; main theorems are presented; compositae are written for polynomials, trigonometric and hyperbolic functions, exponential and log functions. It is shown that the composition holds true for many integer sequences.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2010
- DOI:
- arXiv:
- arXiv:1009.2565
- Bibcode:
- 2010arXiv1009.2565V
- Keywords:
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- Mathematics - Combinatorics