The Apostol Appell-Fibonacci matrix polynomials

In our previous work, we introduced the Apostol-type Bernoulli, Euler, and Genocchi-Fibonacci matrix polynomials and studied their basic properties. In this paper, we show that these polynomials are special cases of a more general class: the Apostol-type Appell-Fibonacci matrix polynomials. We investigate some new properties of this general class, which naturally extend our earlier results. Moreover, we derive a generating function for the Apostol-type Appell-Fibonacci matrix polynomials.

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Publication Details

Journal
Acta Universitatis Sapientiae Mathematica
Published
2026-10-13
DOI
https://doi.org/10.1007/s44426-026-00079-3
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

The Apostol Appell-Fibonacci matrix polynomials

Efruz Özlem MERSİN, Mustafa Bahşı
Acta Universitatis Sapientiae Mathematica
Mathematical functions and polynomials
article

The Apostol Appell-Fibonacci matrix polynomials

Efruz Özlem MERSİN, Mustafa Bahşı
article en

Abstract

In our previous work, we introduced the Apostol-type Bernoulli, Euler, and Genocchi-Fibonacci matrix polynomials and studied their basic properties. In this paper, we show that these polynomials are special cases of a more general class: the Apostol-type Appell-Fibonacci matrix polynomials. We investigate some new properties of this general class, which naturally extend our earlier results. Moreover, we derive a generating function for the Apostol-type Appell-Fibonacci matrix polynomials.

Acta Universitatis Sapientiae MathematicaVol. 18(1)
Aksaray University (TR)
Openalex Percentile: Top 7%
Mathematical functions and polynomials
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