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- University of GothenburgSE21 papers
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5 papers · 1 filter
Restricted 132-alternating permutations and Chebyshev polynomials
T. Mansour
A permutation is said to be \emph{alternating} if it starts with rise and then descents and rises come in turn. In this paper we study the generating function for the number of alt…
Partially Ordered generalized patterns and k-ary words
S. Kitaev, T. Mansour
Recently, Kitaev [Ki2] introduced partially ordered generalized patterns (POGPs) in the symmetric group, which further generalize the generalized permutation patterns introduced by…
Resonance shift effects in apertureless scanning near-field optical microscopy
J. A. Porto, P. Johansson, S. P. Apell +1
We develop a theory to study apertureless scanning near-field optical microscopy which takes into account retardation, higher multipoles of the tip, and the multiple scattering bet…
Elliptic hypergeometric series on root systems
Hjalmar Rosengren
We derive a number of summation and transformation formulas for elliptic hypergeometric series on the root systems A_n, C_n and D_n. In the special cases of classical and q-series,…
There are no iterated morphisms that define the Arshon sequence and the -sequence
Sergey Kitaev
Berstel proved that the Arshon sequence cannot be obtained by iteration of a morphism. An alternative proof of this fact is given here. The -sequence was constructed by Evdokimo…