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Weber,s Discontinuous Integrals

المؤلف:  Bowman, F

المصدر:  Introduction to Bessel Functions. New York: Dover

الجزء والصفحة:  pp. 59-60

30-3-2019

2086

Weber's Discontinuous Integrals

{0 a<c; 1/(sqrt(a^2-c^2)) a>c " src="http://mathworld.wolfram.com/images/equations/WebersDiscontinuousIntegrals/NumberedEquation1.gif" style="height:72px; width:267px" />

(1)

{1/(sqrt(c^2-a^2)) a<c; 0 a>c, " src="http://mathworld.wolfram.com/images/equations/WebersDiscontinuousIntegrals/NumberedEquation2.gif" style="height:72px; width:268px" />

(2)

where  is a zeroth order Bessel function of the first kind.

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REFERENCES:

Bowman, F. Introduction to Bessel Functions. New York: Dover, pp. 59-60, 1958.