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Real inversion theorems for generalized Stieltjes transforms. II

  • E. R. Love (a1) and Angelina Byrne (a1)

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This paper is a continuation of (3), in which we proved extensions, to generalized Stieltjes transforms, of some inversion theorems of Widder(l) for ordinary Stieltjes transforms. The numbering of formulae, lemmas and theorems continues on consecutively from that in (3). The last formula in (3) is numbered (32), and the last lemma or theorem is Theorem 18.

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(1)Widder, D. V.The Laplace Transform (Princeton, 1946).
(2)Byrne, A. and Love, E. R.Complex inversion theorems for generalized Stieltjes transforms. J. Australian math. Soc. 18 (1974), 328358.
(3)Love, E. R. and Byrne, A.Real inversion theorems for generalized Stieltjes transforms. J. London math. Soc. (2) 22 (1980), 285306.

Real inversion theorems for generalized Stieltjes transforms. II

  • E. R. Love (a1) and Angelina Byrne (a1)

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