KaydedilenlerDerginizi ekleyin

Dergiler / Hacettepe Journal of Mathematics and Statistics / 2021 / Cilt: 50 - Sayı: 4

A note on a transform to self-inverse sequences

Altan Erdoğan
Sayfa
1123–1130
Yayın Tarihi
2022-10-18
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

A criterion for the solutions of some difference equations to be self-inverse is also given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The sequences which are fixed by the binomial transform are called self-inverse sequences.
📊
Temel Bulgular & Veri: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.
💡
Sonuç & Katkı:A criterion for the solutions of some difference equations to be self-inverse is also given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Binomial Transform · Self-inverse Sequences · Difference Equations

Abstract

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.

🔖

Bu Makaleye Atıf Yap

Erdoğan, A. (2022). A note on a transform to self-inverse sequences. Hacettepe Journal of Mathematics and Statistics, Cilt: 50 - Sayı: 4, 1123–1130. https://ajindex.com/articles/529526

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (6)

  1. M. Berstein and N.J.A. Sloane, Some canonical sequences of integers, Linear Algebra Appl. 226-228, 57–72, 1995
  2. K. Boyadzhiev, Binomial Transform and The Backward Difference, Adv. Appl. Discrete Math. 13 (1), 43–63, 2014
  3. H. Prodinger, Some Information about the Binomial Transform, Fibonacci Quart. 32, 412–415, 1994
  4. Z. Sun, Invariant sequences under binomial transformation, Fibonacci Quart. 39 (4), 324–333, 2001
  5. R. Taurosa and S. Mattarei, Congruences of Multiple Sums Involving Sequences Invariant Under the Binomial Transform, J. Integer Seq. 13 (5), Article 10.5.1, 2010
  6. Y. Wang, Self-inverse sequences related to a binomial inverse pair, Fibonacci Quart. 43 (1), 46–52, 2005.