Abstract
In this paper, we introduce a novel class of Fubini-Fibonacci-Appell polynomials within the framework of Golden calculus. Utilizing generating function techniques and fibonomial convolution methods, we establish several structural properties, including explicit series representations, summation formulas, convolution identities, and recurrence relations involving the Golden derivative. Furthermore, we construct three-dimensional extensions and derive determinant representations for these polynomials. As special cases, we identify connections with Bernoulli-Fibonacci, Euler-Fibonacci, and Genocchi-Fibonacci polynomials. The results presented herein unify and extend several known Fibonacci-type polynomial families and provide a systematic Appell-type approach in Golden calculus.
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Kapsamı
Uluslararası
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Type
Hakemli
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Index info
WOS.SCI
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Language
English
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Article Type
None
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Keywords
Golden calculus Fubini polynomials Fubini-Fibonacci polynomials generating functions Appell polynomials partial derivatives determinant representations