Mathematics is a natural language for quantifying and codifying thoughts and ideas. It is also a language of precision and logic. Just as pictures or words can be used to describe objects or actions, ...

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Let T denote a subset of the possible transitions between the states of a finite Markov chain and let Yk denote the time of the kth occurrence of a T-transition. Formulae are derived for the ...

In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called crossratio equation with a similarity ...