Open AccessSuccessive derivatives of Fibonacci type polynomials of higher order in two variables
Author(s) -
Mouloud Goubi
Publication year - 2018
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1814149g
Subject(s) - mathematics , fibonacci number , fibonacci polynomials , type (biology) , order (exchange) , class (philosophy) , combinatorics , orthogonal polynomials , difference polynomials , classical orthogonal polynomials , pure mathematics , discrete mathematics , ecology , finance , artificial intelligence , computer science , economics , biology
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.