In this paper, we present a novel mathematical framework termed “ϕ-multiplicative calculus”, which serves as a Golden Fibonacci calculus to fundamental concepts in multiplicative calculus. This innovative calculus introduces a parameter ϕ (Golden ratio), offering a nuanced extension of traditional calculus. Our work encompasses the establishment of ϕ-multiplicative calculus and the demonstration of essential theorems concerning derivatives, integrals, and their operation properties within this mathematical framework. The paper contributes to the academic discourse by providing a comprehensive exploration of the proposed ϕ-multiplicative calculus, presenting a robust foundation for further investigations in this specialized mathematical domain.
Fibonacci numbers multiplicative derivative golden calculus integral
Birincil Dil | İngilizce |
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Konular | Cebir ve Sayı Teorisi, Uygulamalı Matematik (Diğer) |
Bölüm | Research Articles |
Yazarlar | |
Yayımlanma Tarihi | 31 Temmuz 2024 |
Gönderilme Tarihi | 29 Aralık 2023 |
Kabul Tarihi | 21 Mayıs 2024 |
Yayımlandığı Sayı | Yıl 2024 |
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