BINOMIAL SUMS WITH HARMONIC AND FIBONACCI NUMBERS

被引：0
|
作者：
Duran, Omer [1 ]
Omur, Nese [1 ]
Koparal, Sibel [2 ]
机构：
[1] Kocaeli Univ, Dept Math, TR-41380 Kocaeli, Turkiye
[2] Bursa Uludag Univ, Dept Math, TR-16059 Bursa, Turkiye
来源：
JOURNAL OF SCIENCE AND ARTS | 2024年 / 02期
关键词：
Fibonacci numbers; harmonic numbers; generating function;
D O I：
10.46939/J.Sci.Arts-24.2-a13
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we define new sequence Sn(a, n (a, b) with parameters a and b with the help of the generalized harmonic numbers. Also, we get some new sums involving harmonic, Fibonacci and Lucas numbers.
引用
下载
收藏
页码：389 / 398
页数：10
相关论文
共 50 条
  • [31] Sums of reciprocals of Fibonacci numbers
    Herrmann, E
    FIBONACCI QUARTERLY, 2004, 42 (04): : 379 - 380
  • [32] SUMS OF GENERALIZED FIBONACCI NUMBERS
    Cerin, Zvonko
    Gianella, Gian Mario
    JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2008, 12 (02): : 157 - 168
  • [33] Reciprocal sums of Fibonacci numbers
    Elsner, Carsten
    Shimomura, Shun
    Shiokawa, Lekata
    DIOPHANTINE ANALYSIS AND RELATED FIELDS - DARF 2007/2008, 2008, 976 : 77 - +
  • [34] On the sums of digits of Fibonacci numbers
    Terr, DC
    FIBONACCI QUARTERLY, 1996, 34 (04): : 349 - 355
  • [35] On the Fibonacci numbers and the Dedekind sums
    Zhang, WP
    Yi, Y
    FIBONACCI QUARTERLY, 2000, 38 (03): : 223 - 226
  • [36] THE SUMS OF THE CONSECUTIVE FIBONACCI NUMBERS
    Shtefan, Dmitriy
    Dobrovolska, Irina
    FIBONACCI QUARTERLY, 2018, 56 (03): : 229 - 236
  • [37] Binomial Fibonacci Sums from Chebyshev Polynomials
    Adegoke, Kunle
    Frontczak, Robert
    Goy, Taras
    JOURNAL OF INTEGER SEQUENCES, 2023, 26 (09)
  • [38] Fibonacci numbers as sums of two Padovan numbers
    Garcia Lomeli, Ana Cecilia
    Hernandez Hernandez, Santos
    Luca, Florian
    AFRIKA MATEMATIKA, 2022, 33 (01)
  • [39] REPEATED BINOMIAL COEFFICIENTS AND FIBONACCI NUMBERS
    SINGMASTER, D
    FIBONACCI QUARTERLY, 1975, 13 (04): : 295 - 298
  • [40] CERTAIN GENERAL BINOMIAL-FIBONACCI SUMS
    LAYMAN, JW
    FIBONACCI QUARTERLY, 1977, 15 (04): : 362 - 366
12345