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Miklós Schweitzer
1956 Miklós Schweitzer
1
Miklós Schweitzer 1956- Problem 1
Miklós Schweitzer 1956- Problem 1
Source:
October 9, 2015
college contests
Problem Statement
1. Solve without use of determinants the following system of linear equations:
∑
j
=
0
k
(
k
+
α
j
)
x
k
−
j
=
b
k
\sum_{j=0}{k} \binom{k+\alpha}{j} x_{k-j} =b_k
∑
j
=
0
k
(
j
k
+
α
)
x
k
−
j
=
b
k
(
k
=
0
,
1
,
…
,
n
k= 0,1, \dots , n
k
=
0
,
1
,
…
,
n
),where
α
\alpha
α
is a fixed real number. (A. 7)
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