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Journals / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 15 Issue: 1

Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions

Elif Gülal(GAZI UNIVERSITY, FACULTY OF SCIENCE)0000-0003-1145-246X
Naim Tuglu(GAZI UNIVERSITY, FACULTY OF SCIENCE)0000-0002-7277-0034
Pages
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Publication Date
2023-06-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In addition, harmonic-based F exponential generating functions are defined for Apostol Bernoulli-Fibonacci numbers and Apostol Euler-Fibonacci numbers.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained.
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Key Findings & Data:Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found.
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Conclusion & Impact:In addition, harmonic-based F exponential generating functions are defined for Apostol Bernoulli-Fibonacci numbers and Apostol Euler-Fibonacci numbers.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bernoulli polynomials · Apostol polynomials · Apostol Bernoulli polynomials

Abstract

In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained. Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found. In addition, harmonic-based F exponential generating functions are defined for Apostol Bernoulli-Fibonacci numbers and Apostol Euler-Fibonacci numbers.

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Cite This Article

Gülal, E., Tuglu, N. (2023). Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 1. https://doi.org/10.47000/tjmcs.1242781

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