2016
DOI: 10.1142/s1793042116500172
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On approximation measures of q-exponential function

Abstract: We shall present effective approximations measures for certain infinite products related to q-exponential function. There are two main targets. First we shall prove an explicit irrationality measure result for the values of q-exponential function at rational points. Then, if we restrict the approximations to rational numbers of the shape d s /N , we may replace Bundschuh's irrationality exponent 7/3 by 2 + 1 3+2 √ 3 = 2.1547....

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Cited by 2 publications
(1 citation statement)
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“…Significantly delayed latencies in both waveforms arose by 30 months in both sexes of CLN3 Δex7/8 animals ( Fig. 2 G,H), suggestive of defects in photoreceptor neuronal transmission ( Leinonen, 2016 ). In general, photoreceptor death results in loss of amplitude, while photoreceptor dysfunction results in delayed amplitudes.…”
Section: Resultsmentioning
confidence: 96%
“…Significantly delayed latencies in both waveforms arose by 30 months in both sexes of CLN3 Δex7/8 animals ( Fig. 2 G,H), suggestive of defects in photoreceptor neuronal transmission ( Leinonen, 2016 ). In general, photoreceptor death results in loss of amplitude, while photoreceptor dysfunction results in delayed amplitudes.…”
Section: Resultsmentioning
confidence: 96%