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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


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 | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

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  • [2] Vitold Belevitch, The Gauss hypergeometric ratio as a positive real function, SIAM J. Math. Anal. 13 (1982), no. 6, 1024–1040. MR 674771 (83k:33002),
  • [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 (80f:94032)
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  • [6] N. Nielsen, Handbuch der Theorie der Gammafunktion, Chelsea, New York, 1965.
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  • [8] L. A. Zadeh & C. A. Desoer, Linear System Theory, McGraw-Hill, New York, 1963, p. 428.

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Additional Information

PII: S 0025-5718(1982)0637300-3
Article copyright: © Copyright 1982 American Mathematical Society

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