x- T (k+m+1) P(x)=k!'(m-k+1) \x+ (二) 4/2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 40E
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Special function

Prove that

pk
p^ (x)=
T (k+m+1)
k!(m-k+1) (二)”
1 X
× ₂F₁ ( −m, m+1; k+1; −1)
1
一m,
2 2
Transcribed Image Text:pk p^ (x)= T (k+m+1) k!(m-k+1) (二)” 1 X × ₂F₁ ( −m, m+1; k+1; −1) 1 一m, 2 2
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