Stieltjes constants
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1: 25.2 Definition and Expansions
2: 25.6 Integer Arguments
3: Errata
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Subsection 25.2(ii) Other Infinite Series
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4: 31.15 Stieltjes Polynomials
§31.15 Stieltjes Polynomials
… ►§31.15(ii) Zeros
… ►This is the Stieltjes electrostatic interpretation. … ►§31.15(iii) Products of Stieltjes Polynomials
…5: 1.14 Integral Transforms
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§1.14(vi) Stieltjes Transform
►The Stieltjes transform of a real-valued function is defined by … … ►Inversion
… ►Laplace Transform
…6: 9.10 Integrals
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9.10.15
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9.10.16
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►For the confluent hypergeometric function and the incomplete gamma function see §§13.1, 13.2, and 8.2(i).
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9.10.17
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§9.10(vii) Stieltjes Transforms
…7: 18.1 Notation
8: 2.6 Distributional Methods
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§2.6(ii) Stieltjes Transform
… ►The Stieltjes transform of is defined by … ►For a more detailed discussion of the derivation of asymptotic expansions of Stieltjes transforms by the distribution method, see McClure and Wong (1978) and Wong (1989, Chapter 6). Corresponding results for the generalized Stieltjes transform …An application has been given by López (2000) to derive asymptotic expansions of standard symmetric elliptic integrals, complete with error bounds; see §19.27(vi). …9: Bibliography C
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Calcolo delle funzioni speciali , , , , alle alte precisioni.
Atti Accad. Sci. Lett. Arti Palermo Ser. (5) 2(1981/82) (1), pp. 7–25 (Italian).
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On Stieltjes’ continued fraction for the gamma function.
Math. Comp. 34 (150), pp. 547–551.
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rays from an extranuclear direct capture process.
Nuclear Physics 24 (1), pp. 89–101.
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Über die Fälle, wenn die Reihe von der Form etc. ein Quadrat von der Form etc. hat.
J. Reine Angew. Math. 3, pp. 89–91.
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