A combinatorial interpretation of the Seidel generation of q-derangement numbers

The operators W are called algebraic Heun operators because in the special case of the Jacobi algebra (where Y is the Gauss differential hypergeometric operator) the operator

Nearly all the constructions are valid in an integral setting: one has to replace the quantized enveloping algebra by its Lusztig form, but then Theorem 1 is still valid (see

Jacobi-Stirling numbers, Legendre-Stirling numbers, Stirling num- bers, central factorial numbers, signed partitions, quasi-permutations, simply hooked quasi- permutations,

We shall deal here with the (quantum mechanical) discrete spectrum of the hydrogen atom in R 3 and shall obtain in §2 its q-analogue by passing from the dynamical invariance

Namely, if we insert a singleton or open a block (resp.. By Remark 3.4 and Proposition 3.3, it is easy to see that the above algorithm is well defined. Suppose we are constructing

The Barlow-Proschan importance index of the system, another useful concept introduced first in 1975 by Barlow and Proschan [2] for systems whose components have continuous

Abstract Here we will show that the q-integers, the q-analogue of the integers that we can find in the q-calculus, are forming an additive group having a generalized sum similar to

Nearly all the constructions are valid in an integral setting: one has to replace the quantized enveloping algebra by its Lusztig form, but then Theorem 1 is still valid (see