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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 recur...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_7a0f9a8635d54403972ce417b98a52bd

Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recurrence constant

About this item

Full title

Approximations of the generalized-Euler-constant function and the generalized Somos’ quadratic recurrence constant

Author / Creator

Publisher

Cham: Springer International Publishing

Journal title

Journal of inequalities and applications, 2019-07, Vol.2019 (1), p.1-18, Article 198

Language

English

Formats

Publication information

Publisher

Cham: Springer International Publishing

More information

Scope and Contents

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

Authors, Artists and Contributors

Author / Creator

Identifiers

Primary Identifiers

Record Identifier

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

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