Let A and u be positive real numbers. Then Jp(Ax) and Jp(ux) satisfy d d + dx dx (11.6.37) d ( d p² dx dx (11.6.38) respectively. Show that for 2 # µ, | xJp(ax)Jp(ux)dx (11.6.39) 12 - µ2 [Hint: Multiply (11.6.37) by Jp(ux), (11.6.38) by Jp(Ax), subtract the resulting equations and integrate over (0, 1).] If A and u are distinct zeros of Jp(x), what does your result imply?

Let A and u be positive real numbers. Then Jp(Ax) and Jp(ux) satisfy d d + dx dx (11.6.37) d ( d p² dx dx (11.6.38) respectively. Show that for 2 # µ, | xJp(ax)Jp(ux)dx (11.6.39) 12 - µ2 [Hint: Multiply (11.6.37) by Jp(ux), (11.6.38) by Jp(Ax), subtract the resulting equations and integrate over (0, 1).] If A and u are distinct zeros of Jp(x), what does your result imply?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 56E

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