Tessarine Number Sequences and Quantum Calculus Approach

Yıl 2025, Cilt: 30 Sayı: 1, 92 - 101, 29.04.2025

Faik Babadağ

https://doi.org/10.53433/yyufbed.1595620

Öz

This paper presents a detailed study of a new generation of tessarine number sequences with components including quantum integers Also, several fundamental identities are defined such as Binet formulas, Catalan, Cassini, D’ocagnes. After that, the q-Fibonacci tessarine and q-Lucas tessarine polynomials and function sequences are definedand obtained several properties for these sequences.

Anahtar Kelimeler

q-Fibonacci tessarine number sequences , q-Lucas tessarine number sequences , Tessarine numbers

Tessarine Sayı Dizileri ve Kuantum Kalkulus Yaklaşımı

Öz

Bu makalede, kuantum tam sayıları içeren bileşenlere sahip yeni nesil tessarin sayı dizilerinin ayrıntılı bir çalışması sunulmaktadır. Ayrıca, Binet formülleri, Catalan, Cassini, D'ocagnes gibi çeşitli temel özdeşlikler tanımlanmıştır. Daha sonra, q-Fibonacci tessarine ve q-Lucas tessarine polinomları ve fonksiyon dizileri tanımlanmış ve bu diziler için çeşitli özellikler elde edilmiştir.

Anahtar Kelimeler

q- Fibanacci sayı dizileri , q- Lucas sayı dizileri , Tessarine sayıları

Kaynakça

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