The incomplete numbers of Fibonacci and Lucas

被引:0
|
作者
Chu, WC [1 ]
Valentina, V [1 ]
机构
[1] Univ Lecce, Dipartimento Matemat, I-73100 Lecce, Italy
来源
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The incomplete numbers of Fibonacci and Lucas, introduced by Filipponi (1996) are generalized respectively to polynomials. Their redundant natural and conditional generating functions are established by means of formal power series method, The generating functions for the corresponding number sequences due to Pinter and Srivastava (1999) are contained as particular cases.
引用
收藏
页码:289 / 308
页数:20
相关论文
共 50 条
  • [41] A Note on Incomplete Fibonacci-Lucas Relations
    Zhong, Jingyang
    Yao, Jialing
    Chung, Chan-Liang
    SYMMETRY-BASEL, 2023, 15 (12):
  • [42] Product of Fibnoacci/Lucas Numbers With Fibonacci/Lucas Subscripts Proposed
    Ohtsuka, Hideyuki
    FIBONACCI QUARTERLY, 2023, 61 (01): : 90 - 90
  • [43] ON GENERALIZED FIBONACCI AND LUCAS NUMBERS BY MATRIX METHODS
    Cerda-Morales, Gamaliel
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (02): : 173 - 179
  • [44] On the sum of three arbitrary Fibonacci and Lucas numbers
    Irmak, Nurettin
    Siar, Zafer
    Keskin, Refik
    NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2019, 25 (04) : 96 - 101
  • [45] MORE PROPERTIES OF GENERALIZED FIBONACCI AND LUCAS NUMBERS
    Namarneh, Tareq
    Al-Kateeb, Ala'a
    MISSOURI JOURNAL OF MATHEMATICAL SCIENCES, 2023, 35 (02) : 129 - 135
  • [46] On Fibonacci and Lucas Numbers of the Form cx(2)
    Keskin, Refik
    Yosma, Zafer
    JOURNAL OF INTEGER SEQUENCES, 2011, 14 (09)
  • [47] Fibonacci and Lucas numbers as difference of two repdigits
    Erduvan, Fatih
    Keskin, Refik
    Luca, Florian
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (02) : 575 - 589
  • [48] A Study on Dual Hyperbolic Fibonacci and Lucas Numbers
    Cihan, Arzu
    Azak, Ayse Zeynep
    Gungor, Mehmet Ali
    Tosun, Murat
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2019, 27 (01): : 35 - 48
  • [49] Fibonacci and Lucas numbers as difference of two repdigits
    Fatih Erduvan
    Refik Keskin
    Florian Luca
    Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 575 - 589
  • [50] BENFORD LAW FOR FIBONACCI AND LUCAS-NUMBERS
    WASHINGTON, LC
    FIBONACCI QUARTERLY, 1981, 19 (02): : 175 - 177