Math. Nechr. 149 (1990) and (1.7) respectively, where the parameter 5 tends to 0. n W Z , 5 ) = ( 6 Z -l J I(% + 1) exp (-t2/5) d t , -JI Throughout the paper, we shall write (1.8) @A = I(% + 1) -2f(Z)'+ f ( Z -0 . 2.
On the Rate of Convergence and the Voronovskaya Theorem for the Poisson Integrals for Hermite and Laguerre Expansions
✍ Scribed by Grażyna Toczek; Eugeniusz Wachnicki
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 115 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Stochastic geometry models based on a stationary Poisson point process of compact subsets of the Euclidean space are examined. Random measures on ℝ^__d__^, derived from these processes using Hausdorff and projection measures are studied. The central limit theorem is formulated in a way
One-electron integrals over three centers and two-electron integrals over Ž . two centers, involving Slater-type orbitals STOs , can be evaluated using either an infinite expansion for 1rr within an ellipsoidal-coordinate system or by employing a 12 one-center expansion in spherical-harmonic and zet
We prove an L 1 bound on the error made when the Wild summation for solutions of the Boltzmann equation for a gas of Maxwellian molecules is truncated at the n th stage. This gives quantitative control over the only constructive method known for solving the Boltzmann equation. As such, it has recent