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math.DG2007★ 7 cited
Monogenic Functions in Conformal Geometry
Michael Eastwood, John Ryan
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth functions with values in the corresponding Clifford algebra satisfying a certain s…
math.CO2007★ 5 cited
Motzkin numbers of higher rank: Generating function and explicit expression
Toufik Mansour, Matthias Schork, Yidong Sun
The generating function and an explicit expression is derived for the (colored) Motzkin numbers of higher rank introduced recently. Considering the special case of rank one yields…
math-ph2007★ 8 cited
Geometrical modification of quaternionic quantum mechanics
Vladimir Trifonov
We present an axiomatic modification of quaternionic quantum mechanics with a possible-worlds semantics capable of predicting essential "nonquantum" features of an observable unive…