Successive Derivatives of Fibonacci Type Polynomials of Higher Order in Two Variables

被引:6
作者
Goubi, Mouloud [1 ,2 ]
机构
[1] UMMTO Univ, Fac Sci, Dept Math, Tizi Ouzou, Algeria
[2] USTHB Alger, Lab Algebre & Theorie Nombres, Tizi Ouzou, Algeria
关键词
Fibonacci polynomial; Generalized Catalan polynomials; Generalized Humbert polynomials;
D O I
10.2298/FIL1814149G
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of this work is to compute the successive derivatives of Fibonacci type polynomials in two variables; polynomials these introduced by G. Ozdemir,Y. Simsek in [3] and generalized by G. Ozdemir, Y. Simsek and G. Milovanovic in [2] to a higher order. In addition we construct their recursive formula different of that given in Theorem 2.2 [3] p.6. Finally we define a novel generalized class of those polynomials similar to that given in [1] and found its recursive formula.
引用
收藏
页码:5149 / 5159
页数:11
相关论文
共 3 条
[1]   ON A GENERALIZATION OF CATALAN POLYNOMIALS [J].
Goubi, Mouloud .
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2018, 33 (02) :163-176
[2]   Generating Functions for Special Polynomials and Numbers Including Apostol-Type and Humbert-Type Polynomials [J].
Ozdemir, Gulsah ;
Simsek, Yilmaz ;
Milovanovic, Gradimir V. .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2017, 14 (03)
[3]   Generating Functions For Two-Variable Polynomials Related To a Family of Fibonacci Type Polynomials and Numbers [J].
Ozdemir, Gulsah ;
Simsek, Yilmaz .
FILOMAT, 2016, 30 (04) :969-975