Some Properties of Generalized Apostol-Type Frobenius-Euler-Fibonacci Polynomials

被引：2
|
作者：
Alatawi, Maryam Salem [1 ]
Khan, Waseem Ahmad [2 ]
Kizilates, Can [3 ]
Ryoo, Cheon Seoung [4 ]
机构：
[1] Univ Tabuk, Fac Sci, Dept Math, Tabuk 71491, Saudi Arabia
[2] Prince Mohammad Bin Fahd Univ, Dept Math & Nat Sci, POB 1664, Al Khobar 31952, Saudi Arabia
[3] Zonguldak Bulent Ecevit Univ, Dept Math, TR-67100 Zonguldak, Turkiye
[4] Hannam Univ, Dept Math, Daejeon 34430, South Korea
来源：
MATHEMATICS | 2024年 / 12卷 / 06期
关键词：
Golden Calculus; Apostol-type Frobenius-Euler polynomials; Apostol-type Frobenius-Euler-Fibonacci polynomials; Stirling-Fibonacci numbers;
D O I：
10.3390/math12060800
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius-Euler-Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers, such as summation theorems, difference equations, derivative properties, recurrence relations, and more. Subsequently, we present summation formulas, Stirling-Fibonacci numbers of the second kind, and relationships for these polynomials and numbers. Finally, we define the new family of the generalized Apostol-type Frobenius-Euler-Fibonacci matrix and obtain some factorizations of this newly established matrix. Using Mathematica, the computational formulae and graphical representation for the mentioned polynomials are obtained.
引用
收藏
页数：15
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