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] |
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| قاعدة البيانات: |
Complementary Index |
