The recurrence relation for the Bessel function J₁(k) with the first coefficient C_1=1 leads to 1 OI. O II. O III. O IV. C₁=1, C₁=-k², C₂=0, C₁= k² 8 C₁=1, C₁₂=0, C3 C₁=1, C₁₂=0, C3² с = 3 k k² 8 24.8 C₁=1₁C₁=k³²,c₂-0₁C₁= 24.8¹C=0,.... 5 k2 24.8 [, C = 0,.... ,C₁=0, C = 5 k2 ₂C₁₂=0, C₁= k4 24.8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 29E
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The recurrence relation for the Bessel function J₁(k) with the first coefficient C_1=1 leads to
1
OI.
O II.
O III.
O IV.
C₁=1, C₁=-k², C₂=0, C₁=
k²
8
C₁=1, C₁₂=0, C3
C₁=1, C₁₂=0, C3²
с
=
3
k
k²
8
24.8
C₁=1₁C₁=k³²,c₂-0₁C₁= 24.8¹C=0,....
5
k2
24.8
[, C = 0,....
,C₁=0, C =
5
k2
₂C₁₂=0, C₁=
k4
24.8
Transcribed Image Text:The recurrence relation for the Bessel function J₁(k) with the first coefficient C_1=1 leads to 1 OI. O II. O III. O IV. C₁=1, C₁=-k², C₂=0, C₁= k² 8 C₁=1, C₁₂=0, C3 C₁=1, C₁₂=0, C3² с = 3 k k² 8 24.8 C₁=1₁C₁=k³²,c₂-0₁C₁= 24.8¹C=0,.... 5 k2 24.8 [, C = 0,.... ,C₁=0, C = 5 k2 ₂C₁₂=0, C₁= k4 24.8
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