Yıl: 2023 Cilt: 72 Sayı: 4 Sayfa Aralığı: 992 - 999 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.1247415 İndeks Tarihi: 25-12-2023

A Diophantine equation including Fibonacci and Fibonomial coefficients

Öz:
In this paper, we solve the equation begin{equation*} sum_{k=0}^{m} {{2m+1}brack{k}}_{F}pm F_{t}=F_{n}, end{equation*} under weak assumptions. Here, $F_n$ is $n^{th}$ Fibonacci number and ${{.}brack {.}}_{F}$ denotes Fibonomial coefficient.
Anahtar Kelime: Fibonomial coefficient Fibonacci number Diophantine equation

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA IRMAK N (2023). A Diophantine equation including Fibonacci and Fibonomial coefficients. , 992 - 999. 10.31801/cfsuasmas.1247415
Chicago IRMAK Nurettin A Diophantine equation including Fibonacci and Fibonomial coefficients. (2023): 992 - 999. 10.31801/cfsuasmas.1247415
MLA IRMAK Nurettin A Diophantine equation including Fibonacci and Fibonomial coefficients. , 2023, ss.992 - 999. 10.31801/cfsuasmas.1247415
AMA IRMAK N A Diophantine equation including Fibonacci and Fibonomial coefficients. . 2023; 992 - 999. 10.31801/cfsuasmas.1247415
Vancouver IRMAK N A Diophantine equation including Fibonacci and Fibonomial coefficients. . 2023; 992 - 999. 10.31801/cfsuasmas.1247415
IEEE IRMAK N "A Diophantine equation including Fibonacci and Fibonomial coefficients." , ss.992 - 999, 2023. 10.31801/cfsuasmas.1247415
ISNAD IRMAK, Nurettin. "A Diophantine equation including Fibonacci and Fibonomial coefficients". (2023), 992-999. https://doi.org/10.31801/cfsuasmas.1247415
APA IRMAK N (2023). A Diophantine equation including Fibonacci and Fibonomial coefficients. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72(4), 992 - 999. 10.31801/cfsuasmas.1247415
Chicago IRMAK Nurettin A Diophantine equation including Fibonacci and Fibonomial coefficients. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72, no.4 (2023): 992 - 999. 10.31801/cfsuasmas.1247415
MLA IRMAK Nurettin A Diophantine equation including Fibonacci and Fibonomial coefficients. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.72, no.4, 2023, ss.992 - 999. 10.31801/cfsuasmas.1247415
AMA IRMAK N A Diophantine equation including Fibonacci and Fibonomial coefficients. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 992 - 999. 10.31801/cfsuasmas.1247415
Vancouver IRMAK N A Diophantine equation including Fibonacci and Fibonomial coefficients. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2023; 72(4): 992 - 999. 10.31801/cfsuasmas.1247415
IEEE IRMAK N "A Diophantine equation including Fibonacci and Fibonomial coefficients." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 72, ss.992 - 999, 2023. 10.31801/cfsuasmas.1247415
ISNAD IRMAK, Nurettin. "A Diophantine equation including Fibonacci and Fibonomial coefficients". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 72/4 (2023), 992-999. https://doi.org/10.31801/cfsuasmas.1247415