Displaying similar documents to “Rational recursive equations characterizing cotangent-tangent and hyperbolic cotangent-tangent functions.”

Collective Operations on Number-Membered Sets

Artur Korniłowicz (2009)

Formalized Mathematics

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The article starts with definitions of sets of opposite and inverse numbers of a given number membered set. Next, collective addition, subtraction, multiplication and division of two sets are defined. Complex numbers cases and extended real numbers ones are introduced separately and unified for reals. Shortcuts for singletons cases are also defined.

Diagonal series of rational functions (several variables)

Sławomir Cynk, Piotr Tworzewski (1994)

Annales Polonici Mathematici

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We give representations of Nash functions in a neighbourhood of a polydisc (torus) in m as diagonal series of rational functions in a neighbourhood of a polydisc (torus) in m + 1 .