Stieltjes constants
(0.002 seconds)
11—15 of 15 matching pages
11: 18.27 -Hahn Class
…
►
§18.27(vi) Stieltjes–Wigert Polynomials
… ►
18.27.19
…
►
18.27.20
►
From Stieltjes–Wigert to Hermite
►
18.27.20_5
…
12: 18.2 General Orthogonal Polynomials
…
►More generally than (18.2.1)–(18.2.3), may be replaced in (18.2.1) by , where the measure is the Lebesgue–Stieltjes measure corresponding to a bounded nondecreasing function on the closure of with an infinite number of points of increase, and such that for all .
…
►
§18.2(iii) Standardization and Related Constants
… ►Constants
… ►(i) the traditional OP standardizations of Table 18.3.1, where each is defined in terms of the above constants. … ►, of the form ) nor is it necessarily unique, up to a positive constant factor. …13: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
…
►For a Lebesgue–Stieltjes measure on let be the space of all Lebesgue–Stieltjes measurable complex-valued functions on which are square integrable with respect to ,
►
1.18.11
…
►
1.18.13
,
…
►Note that the integral in (1.18.66) is not singular if approached separately from above, or below, the real axis: in fact analytic continuation from the upper half of the complex plane, across the cut, and onto higher Riemann Sheets can access complex poles with singularities at discrete energies corresponding to quantum resonances, or decaying quantum states with lifetimes proportional to .
…
►Then is constant for and also constant for .
…
14: 1.4 Calculus of One Variable
…
►
Stieltjes, Lebesgue, and Lebesgue–Stieltjes integrals
… ► … ► … ► … ► See Riesz and Sz.-Nagy (1990, Ch. 3). …15: Bibliography C
…
►
Calcolo delle funzioni speciali , , , , alle alte precisioni.
Atti Accad. Sci. Lett. Arti Palermo Ser. (5) 2(1981/82) (1), pp. 7–25 (Italian).
…
►
On Stieltjes’ continued fraction for the gamma function.
Math. Comp. 34 (150), pp. 547–551.
…
►
rays from an extranuclear direct capture process.
Nuclear Physics 24 (1), pp. 89–101.
…
►
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.
…