Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recur...
Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recurrence constant
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Author / Creator
Publisher
Cham: Springer International Publishing
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Language
English
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Publisher
Cham: Springer International Publishing
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Contents
In this paper, we provide an estimate for approximating the generalized-Euler-constant function
γ
(
z
)
=
∑
k
=
1
∞
z
k
−
1
(
1
k
−
ln
k
+
1
k
)
by its partial sum
γ
N
−
1
(
z
)
when
0
<
z
<
1
. We obtain an asymptotic expansion for...
Alternative Titles
Full title
Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recurrence constant
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TN_cdi_doaj_primary_oai_doaj_org_article_7a0f9a8635d54403972ce417b98a52bd
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_7a0f9a8635d54403972ce417b98a52bd
Other Identifiers
ISSN
1029-242X,1025-5834
E-ISSN
1029-242X
DOI
10.1186/s13660-019-2153-0