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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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