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Journal of Number Theory
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Journal of Number Theory
Article . 2013
License: Elsevier Non-Commercial
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Journal of Number Theory
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Article . 2013
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On a continued fraction expansion for Eulerʼs constant

On a continued fraction expansion for Euler's constant
Authors: Hessami Pilehrood, Kh.; Hessami Pilehrood, T.;

On a continued fraction expansion for Eulerʼs constant

Abstract

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Keywords

Euler-Gompertz constant, Algebra and Number Theory, Continued fractions and generalizations, Zeilbergerʼs algorithm of creative telescoping, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Zeilberger's telescoping algorithm, Continued fraction, Second-order linear recurrence, Meijer G-function, continued fraction, Laguerre orthogonal polynomials, Whittaker function, Evaluation of number-theoretic constants, Rational approximation, Euler constant, second-order linear recurrence, Recurrences, Homogeneous approximation to one number, rational approximation, Euler–Gompertz constant

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Top 10%
hybrid