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Showing 1 to 4 of 4 for “"Q-difference Equation"”.
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Generalizations of Certain Results on Continued Fraction
… continued fraction arises from a three-term q-difference equation. We consider (m + 1)-term q-difference equations and also a generalization of the continued fraction algorithm called a G-continued fraction. We obtain a general expansion of the quotient of two contiguous basic hypergeometric …
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Periodic q-difference equations
… periodic solutions of various kinds of q-difference equations are presented, namely as follows. First, Floquet theory for q-difference equations is established. Second, the Cushing-Henson conjecture is proved for periodic solutions of the Beverton-Holt q-difference equation, resulting in …
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Random tilings : gap probabilities, local and global asymptotics
… a solution of the asymmetric q-Painleve V equation. The case of the q-Hahn ensemble we consider is the most general case of the orthogonal polynomial ensembles that have been studied in this context. Our approach is based on the analysis of q-connections on P1 with a particular singularity …