Read More
Date: 3-8-2019
3276
Date: 21-9-2018
1188
Date: 20-6-2019
1113
|
One of the polynomials obtained by taking powers of the Brahmagupta matrix. They satisfy the recurrence relation
(1) |
|||
(2) |
A list of many others is given by Suryanarayan (1996). Explicitly,
(3) |
|||
(4) |
The Brahmagupta polynomials satisfy
(5) |
|||
(6) |
The first few polynomials are
(7) |
|||
(8) |
|||
(9) |
|||
(10) |
|||
(11) |
and
(12) |
|||
(13) |
|||
(14) |
|||
(15) |
|||
(16) |
Taking and gives equal to the Pell numbers and equal to half the Pell-Lucas numbers. The Brahmagupta polynomials are related to the Morgan-Voyce polynomials, but the relationship given by Suryanarayan (1996) is incorrect.
REFERENCES:
Suryanarayan, E. R. "The Brahmagupta Polynomials." Fib. Quart. 34, 30-39, 1996.
|
|
دراسة: عدم ترتيب الغرفة قد يدل على مشاكل نفسية
|
|
|
|
|
علماء: تغير المناخ تسبب في ارتفاع الحرارة خلال موسم الحج
|
|
|
|
|
العتبة العباسية تطلق المؤتمر العلمي لأسبوع الإمامة باللغة الإنجليزية
|
|
|