التفاصيل البيبلوغرافية
العنوان: |
Matrix manipulations for properties of Fibonacci p-numbers and their generalizations. |
المؤلفون: |
Deveci, Ömür, Shannon, Anthony G. |
المصدر: |
Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică; 2021, Vol. 67 Issue 1, p85-95, 11p |
مصطلحات موضوعية: |
FIBONACCI sequence, MATRICES (Mathematics), BINET'S equation, MATHEMATICAL variables, COMBINATORICS |
مستخلص: |
In this paper, we define the Fibonacci-Fibonacci p-sequence and then we discuss the connection of the Fibonacci-Fibonacci p-sequence with Fibonacci and Fibonacci p-sequences. We also provide a new Binet formula and a new combinatorial representation of Fibonacci p-numbers by the aid of the nth power of the generating matrix the Fibonacci-Fibonacci p-sequence. We furthermore develop relationships between the Fibonacci-Fibonacci p-numbers and their permanent, determinant and sums of certain matrices. [ABSTRACT FROM AUTHOR] |
|
Copyright of Analele Ştiinţifice ale Universităţii 'Al.I. Cuza' din Iaşi. Matematică is the property of Publishing House of the Alexandru Ioan Cuza University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
قاعدة البيانات: |
Complementary Index |