Limit formulas for q-exponential functio
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Don Rawlings
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Article
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1994
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Elsevier Science
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English
β 240 KB
q-Analogues are given for the limit formulas e'=lim,+,(l -t/n)-' and e'=lim,,, (1 + t/n)'. The q-extension of the first identity is applied in proving that the probability of a q-random mapping having no fixed points approaches the reciprocal of a q-analogue of the real number e.