Generating functions of binary products of k-Fibonacci and orthogonal polynomials

被引：11
|
作者：
Boussayoud, Ali [1 ]
Boughaba, Souhila [1 ]
Kerada, Mohamed [1 ]
Araci, Serkan [2 ]
Acikgoz, Mehmet [3 ]
机构：
[1] Mohamed Seddik Ben Yahia Univ, Dept Math, LMAM Lab, Jijel, Algeria
[2] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey
[3] Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2019年 / 113卷 / 03期
关键词：
Symmetric functions; Generating functions; k-Fibonacci numbers; k-Pell numbers;
D O I：
10.1007/s13398-019-00641-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce a new operator in order to derive some new symmetric properties of k-Fibonacci and k-Pell numbers and Tchebychev polynomials of first and second kind. By making use of the new operator defined in this paper, we give some new generating functions for k-Fibonacci and k-Pell numbers and Fibonacci polynomials.
引用
收藏
页码：2575 / 2586
页数：12
相关论文
共 50 条
  • [21] LOGARITHMIC COEFFICIENTS OF STARLIKE FUNCTIONS CONNECTED WITH k-FIBONACCI NUMBERS
    Bulut, Serap
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2021, 70 (02): : 910 - 923
  • [22] Complete Symmetric functions in several variables and k-Fibonacci numbers
    Boussayoud, Ali
    Boughaba, Souhila
    Araci, Serkan
    UTILITAS MATHEMATICA, 2020, 115 : 23 - 37
  • [23] On the complex k-Fibonacci numbers
    Falcon, Sergio
    COGENT MATHEMATICS, 2016, 3
  • [24] COEFFICIENT INEQUALITIES FOR ANALYTIC FUNCTIONS CONNECTED WITH k-FIBONACCI NUMBERS
    Bulut, Serap
    Sokol, Janusz
    HONAM MATHEMATICAL JOURNAL, 2022, 44 (04): : 521 - 534
  • [25] The k-Fibonacci difference sequences
    Falcon, Sergio
    CHAOS SOLITONS & FRACTALS, 2016, 87 : 153 - 157
  • [26] GENERATING FUNCTIONS FOR THE GENERALIZED BIVARIATE FIBONACCI AND LUCAS POLYNOMIALS
    Erkus-Duman, Esra
    Tuglu, Naim
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (05) : 815 - 821
  • [27] On k-Fibonacci Brousseau Sums
    Nair, Prabha Sivaraman
    Karunakaran, Rejikumar
    JOURNAL OF INTEGER SEQUENCES, 2024, 27 (06) : 1 - 20
  • [28] MERSENNE k-FIBONACCI NUMBERS
    Bravo, Jhon J.
    Gomez, Carlos A.
    GLASNIK MATEMATICKI, 2016, 51 (02) : 307 - 319
  • [29] Recurrences for k-Fibonacci Numbers
    Linders, J. C.
    AMERICAN MATHEMATICAL MONTHLY, 2011, 118 (04): : 374 - 376
  • [30] SUMS, PRODUCTS AND IDENTITIES INVOLVING k-FIBONACCI AND k-LUCAS SEQUENCES
    Catarino, P.
    Vasco, P.
    Borges, A.
    Campos, H.
    Aires, A. P.
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2014, 32 (01): : 63 - 77
12345