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Note On a Stieltjes Type Of Inversion
Published online by Cambridge University Press: 20 November 2018
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If F(z) is an analytic function for z ∉ [− ∞, −l],g(t) of bounded variation and real valued for 0 ≤ t ≤ 1 and
then the Stieltjes type of inversion between F(z) and g(t) (cf. 1, p. 339, Theorem 7a) is
where 0 ≤ v < u ≤ 1, ImF(z) is the imaginary part of F(z) and z = − t−l+iy.
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- Copyright © Canadian Mathematical Society 1956