3. Show, by direct differentiation, that for real number v (-1)* xv+2s J,(x) =E s!(s + v)! (2 s=0 satisfies the two recurrence relations 2v Jy-1(x) + Jy41(x) = -Ju(x) Jy-1(x) – Jy+1(x) = 2J', (x) %3D

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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3. Show, by direct differentiation, that for real number v
(-1)*
s!(s + v)!
Tレ+2s
J,(x) =E
s=0
satisfies the two recurrence relations
2v
J,(x)
Jy-1(x) + Jy+1(x) =
Jy-1(x) – Jy+1(x) = 2J', (x)
Transcribed Image Text:3. Show, by direct differentiation, that for real number v (-1)* s!(s + v)! Tレ+2s J,(x) =E s=0 satisfies the two recurrence relations 2v J,(x) Jy-1(x) + Jy+1(x) = Jy-1(x) – Jy+1(x) = 2J', (x)
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