A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler-Fibonacci polynomials

被引：0

作者：

Tuglu, Naim ^{[1
]}

Kus, Semra ^{[2
]}

Kizilates, Can ^{[3
]}

机构：

[1] Univ Gazi, Dept Math, TR-06500 Ankara, Turkiye

[2] Univ Kirsehir Ahi Evran, Mucur Vocat High Sch, Kirsehir, Turkiye

[3] Univ Zonguldak Bulent Ecevit, Dept Math, TR-67100 Zonguldak, Turkiye

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年

关键词：

Harmonic Fibonacci number; Umbral method; Special polynomial; Exponential generating function; GENERATING-FUNCTIONS; NUMBERS;

D O I：

10.1007/s13226-023-00413-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by the help the F-vacuum operator, we define the harmonic Fibonacci polynomials and harmonic based F-exponential generating function. The harmonic based F-exponential generating function is obtained for the Bernoulli-F polynomials, the Euler-Fibonacci numbers, the Euler-Fibonacci polynomials and the Bernoulli-Fibonacci numbers, and their relations are shown with the harmonic Fibonacci numbers and polynomials.

引用

页数：13

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