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- Wolfdieter Lang
- 2000

Sequences of generalized Stirling numbers of both kinds are introduced. These sequences of triangles (i.e. infinite-dimensional lower triangular matrices) of numbers will be denoted by S2(k;n,m) and S1(k;n,m) with k ∈ Z. The original Stirling number triangles of the second and first kind arise when k = 1. S2(2;n,m) is identical with the unsigned S1(2;n,m)… (More)

- Wolfdieter Lang
- 2009

A combinatorial interpretation of the earlier studied generalized Stirling numbers, emerging in a normal ordering problem and its inversion, is given. It involves unordered forests of certain types of labeled trees. Partition number arrays related to such forests are also presented.

- Wolfdieter Lang
- 2000

Catalan's sequence of numbers {C„}% = {1,1,2,5,14,42,...} (nr.1459 and ,4000108 of [14]) emerges in the solution of many combinatorial problems (see [2], [4], [5], and [16] for further references). The moments ju2k of the normalized weight function of Chebyshev's polynomials of the second kind are given by Ck /2 (see, e.g., [3], Lemma 4.3, p. 160 for /= 0,… (More)

- Wolfdieter Lang
- 2001

with α(x) = f(x)/f0(x), β(x) = f1(x)/f0(x), and γ(x) = f2(x)/f0(x). Let G(x) generate the number sequence {Gn}0 , i.e. G(x) = ∑∞ n=0Gnx . Because G(x) is the generating function for the convolution of the sequence {Gn}0 with itself, i.e. of G (1) n := ∑n k=0GkGn−k, one can use eq. 2 in order to express the convolution numbers G n in terms of {Gk} 0 and the… (More)

- W Lang
- Das Dental-Labor. Le Laboratoire dentaire. The…
- 1990

- W Lang
- Das Dental-Labor. Le Laboratoire dentaire. The…
- 1982

- W Lang
- Die Quintessenz der Zahntechnik
- 1988

- Wolfdieter Lang, Saïd Amghibech
- The American Mathematical Monthly
- 2002

- Wolfdieter Lang
- The American Mathematical Monthly
- 2001

- W Lang
- Die Quintessenz der Zahntechnik
- 1986