Abstract
Using the notion of composita and the Lagrange inversion theorem, we present techniques for solving the following functional equation B(x)=H(xB(x)m), where H(x),B(x) are generating functions and m ∈ N. Also we give some examples.
Original language | English |
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Journal | Advances in Difference Equations |
Volume | 2015 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2015 |
Keywords
- composita
- functional equation
- generating function
- Lagrange inversion theorem
ASJC Scopus subject areas
- Applied Mathematics
- Algebra and Number Theory
- Analysis