The sequences which are fixed by the binomial transform are called self-inverse sequences. In this paper, an identity satisfied by Fibonacci numbers is modified to provide a transform which maps a specific subset of sequences to self-inverse sequences bijectively. The image of some classes of sequences under this transform are explicitly found which provides a new formulation and a class of examples of self-inverse sequences. A criterion for the solutions of some difference equations to be self-inverse is also given.
Binomial Transform Self-inverse Sequences Difference Equations
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Matematik |
Yazarlar | |
Yayımlanma Tarihi | 6 Ağustos 2021 |
Yayımlandığı Sayı | Yıl 2021 Cilt: 50 Sayı: 4 |