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On Stieltjes integral transforms involving $ \Gamma $-functions

Authors: V. Belevitch and J. Boersma
Journal: Math. Comp. 38 (1982), 223-226
MSC: Primary 44A15; Secondary 33A15, 33A45
MathSciNet review: 637300
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Abstract: After some methodological remarks on the theory of Stieltjes transforms, a systematic classification of transforms involving $ \Gamma $-functions is presented As a consequence, many new transforms are established and much simpler proofs for a few known transforms are obtained.

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  • [3] V. V. Belevitch and J. Boersma, The Bessel ratio 𝐾_{𝜈+1}(𝑧)/𝐾_{𝜈}(𝑧) as a passive impedance, Philips J. Res. 34 (1979), no. 3-4, 163–173. MR 546260
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Article copyright: © Copyright 1982 American Mathematical Society

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