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The picture shows that the First-Order
Bickley-Naylor function is symmetric about 0. However, upon inspection, any value of x < 0 produces Infinity because at pi/2, cos(theta) goes to 0. This results in exp at the end of the integration range. Thus, I think the picture should be modified to
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Some references on these functions spell John Nayler's name with an 'e'. For example, the article here
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properly show that the function is only defined in a useful way for values of x : -->
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