Construction of a New Class of Generating Functions of Binary Products of Some Special Numbers and Polynomials

被引:0
|
作者
Boughaba, Souhila [1 ,2 ]
Boussayoud, Ali [1 ,2 ]
Araci, Serkan [3 ]
Kerada, Mohamed [1 ,2 ]
Acikgoz, Mehmet [4 ]
机构
[1] Mohamed Seddik Ben Yahia Univ, LMAM Lab, Jijel, Algeria
[2] Mohamed Seddik Ben Yahia Univ, Dept Math, Jijel, Algeria
[3] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, TR-27410 Gaziantep, Turkey
[4] Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey
关键词
Symmetric functions; Generating functions; k-Fibonacci numbers; k-Pell numbers; Jacobsthal numbers; FIBONACCI;
D O I
10.2298/FIL2103001B
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we derive some new symmetric properties of k-Fibonacci numbers by making use of symmetrizing operator. We also give some new generating functions for the products of some special numbers such as k-Fibonacci numbers, k-Pell numbers, Jacobsthal numbers, Fibonacci polynomials and Chebyshev polynomials.
引用
收藏
页码:1001 / 1013
页数:13
相关论文
共 50 条
  • [21] SOME NEW GENERATING FUNCTIONS FOR JACOBI POLYNOMIALS
    SHARMA, BL
    MITTAL, KC
    PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1968, 64 : 691 - &
  • [22] On Generating Functions for the Special Polynomials
    Simsek, Yilmaz
    FILOMAT, 2017, 31 (01) : 9 - 16
  • [23] GENERATING FUNCTIONS FOR A CLASS OF POLYNOMIALS
    SRIVASTA.HM
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (01): : 290 - &
  • [24] GENERATING FUNCTIONS FOR A NEW CLASS OF POLYNOMIALS .2.
    GUPTA, KC
    GOYAL, SP
    MATHEMATISCHE NACHRICHTEN, 1972, 52 (1-6) : 59 - &
  • [25] New generating functions for a class of generalized Hermite polynomials
    Lin, SD
    Tu, ST
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (02) : 479 - 496
  • [26] Generating functions of binary products of k-Fibonacci and orthogonal polynomials
    Boussayoud, Ali
    Boughaba, Souhila
    Kerada, Mohamed
    Araci, Serkan
    Acikgoz, Mehmet
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2019, 113 (03) : 2575 - 2586
  • [27] Generating functions of binary products of k-Fibonacci and orthogonal polynomials
    Ali Boussayoud
    Souhila Boughaba
    Mohamed Kerada
    Serkan Araci
    Mehmet Acikgoz
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2019, 113 : 2575 - 2586
  • [28] SOME BILATERAL GENERATING FUNCTIONS FOR A CLASS OF GENERALIZED HYPERGEOMETRIC POLYNOMIALS
    SRIVASTAVA, HM
    PANDA, R
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1976, 283 : 265 - 274
  • [29] SYMMETRIC FUNCTIONS OF BINARY PRODUCTS OF TRIBONACCI LUCAS NUMBERS AND ORTHOGONAL POLYNOMIALS
    Merzouk, Hind
    Boussayoud, Ali
    Chelgham, Mourad
    JOURNAL OF SCIENCE AND ARTS, 2021, (02): : 461 - 478
  • [30] The 5th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications
    Simsek, Yilmaz
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863