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The Rκκ function and its applications: disentropy, image processing and the κ-diode
Three generalizations of the Lambert W function were recently discussed in the literature: the Lambert–Tsallis W q function, the R qq function and the Lambert–Kaniadakis W κ function. All of them have been used in interesting problems in physics and engineering. In this direction, the present work i...
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| Published in: | European physical journal plus 2022-03, Vol.137 (3), p.320, Article 320 |
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| container_start_page | 320 |
| container_title | European physical journal plus |
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| creator | da Silva, J. L. E. Mendes, F. V. Ramos, R. V. |
| description | Three generalizations of the Lambert
W
function were recently discussed in the literature: the Lambert–Tsallis
W
q
function, the
R
qq
function and the Lambert–Kaniadakis
W
κ
function. All of them have been used in interesting problems in physics and engineering. In this direction, the present work introduces a fourth generalization, the new function
R
κκ
(
z
), solution of the equation
R
κκ
(
z
) ×
κ
exp
κ
(
R
κκ
(
z
)) =
z
. In this work, it is shown this new function can be used to construct a new disentropy as well it is used to model the
κ
-diode, a hypothetical electronic device whose electrical current depends
κ
-exponentially on the voltage between its terminals. Analytical and numerical results for
R
κκ
, the new disentropy and
κ
-diode are presented. |
| doi_str_mv | 10.1140/epjp/s13360-022-02555-4 |
| format | article |
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W
function were recently discussed in the literature: the Lambert–Tsallis
W
q
function, the
R
qq
function and the Lambert–Kaniadakis
W
κ
function. All of them have been used in interesting problems in physics and engineering. In this direction, the present work introduces a fourth generalization, the new function
R
κκ
(
z
), solution of the equation
R
κκ
(
z
) ×
κ
exp
κ
(
R
κκ
(
z
)) =
z
. In this work, it is shown this new function can be used to construct a new disentropy as well it is used to model the
κ
-diode, a hypothetical electronic device whose electrical current depends
κ
-exponentially on the voltage between its terminals. Analytical and numerical results for
R
κκ
, the new disentropy and
κ
-diode are presented.</description><identifier>ISSN: 2190-5444</identifier><identifier>EISSN: 2190-5444</identifier><identifier>DOI: 10.1140/epjp/s13360-022-02555-4</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Algorithms ; Applied and Technical Physics ; Atomic ; Complex Systems ; Condensed Matter Physics ; Entropy ; Image processing ; Information theory ; Mathematical and Computational Physics ; Molecular ; Optical and Plasma Physics ; Physics ; Physics and Astronomy ; Regular Article ; Solar physics ; Theoretical</subject><ispartof>European physical journal plus, 2022-03, Vol.137 (3), p.320, Article 320</ispartof><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022</rights><rights>The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2494-a840cafb9e436c4034047d5534552e3c0dc6fc0997abb0a705a00fe673eca89f3</citedby><cites>FETCH-LOGICAL-c2494-a840cafb9e436c4034047d5534552e3c0dc6fc0997abb0a705a00fe673eca89f3</cites><orcidid>0000-0001-9116-1085</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>da Silva, J. L. E.</creatorcontrib><creatorcontrib>Mendes, F. V.</creatorcontrib><creatorcontrib>Ramos, R. V.</creatorcontrib><title>The Rκκ function and its applications: disentropy, image processing and the κ-diode</title><title>European physical journal plus</title><addtitle>Eur. Phys. J. Plus</addtitle><description>Three generalizations of the Lambert
W
function were recently discussed in the literature: the Lambert–Tsallis
W
q
function, the
R
qq
function and the Lambert–Kaniadakis
W
κ
function. All of them have been used in interesting problems in physics and engineering. In this direction, the present work introduces a fourth generalization, the new function
R
κκ
(
z
), solution of the equation
R
κκ
(
z
) ×
κ
exp
κ
(
R
κκ
(
z
)) =
z
. In this work, it is shown this new function can be used to construct a new disentropy as well it is used to model the
κ
-diode, a hypothetical electronic device whose electrical current depends
κ
-exponentially on the voltage between its terminals. Analytical and numerical results for
R
κκ
, the new disentropy and
κ
-diode are presented.</description><subject>Algorithms</subject><subject>Applied and Technical Physics</subject><subject>Atomic</subject><subject>Complex Systems</subject><subject>Condensed Matter Physics</subject><subject>Entropy</subject><subject>Image processing</subject><subject>Information theory</subject><subject>Mathematical and Computational Physics</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Regular Article</subject><subject>Solar physics</subject><subject>Theoretical</subject><issn>2190-5444</issn><issn>2190-5444</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNqFkN9KwzAUh4MoOOaewYC3xp02J23jnQz_wUCQ6W3I0mR2zLYm3cVerQ-xZzJbBb0zEHII5_ud5CPkMoGbJEGY2nbdTkPCeQYM0jRuIQTDEzJKEwlMIOLpn_qcTEJYQ1woE5Q4Iu-LD0tf9_2-p25bm65qaqrrklZdoLptN5XRh7twS8sq2LrzTbu7ptWnXlna-sbYEKp6dUS6mLTvWVk1pb0gZ05vgp38nGPy9nC_mD2x-cvj8-xuzkwaxzNdIBjtltIizwwCR8C8FIKjEKnlBkqTOQNS5nq5BJ2D0ADOZjm3RhfS8TG5GnLjW762NnRq3Wx9HUeqVKbA84JzGbvyocv4JgRvnWp9_ILfqQTUwaM6eFSDRxU9qqNHhZEsBjJEol5Z_5v_H_oNGc97XA</recordid><startdate>20220301</startdate><enddate>20220301</enddate><creator>da Silva, J. L. E.</creator><creator>Mendes, F. V.</creator><creator>Ramos, R. V.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>P5Z</scope><scope>P62</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><orcidid>https://orcid.org/0000-0001-9116-1085</orcidid></search><sort><creationdate>20220301</creationdate><title>The Rκκ function and its applications: disentropy, image processing and the κ-diode</title><author>da Silva, J. L. E. ; Mendes, F. V. ; Ramos, R. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2494-a840cafb9e436c4034047d5534552e3c0dc6fc0997abb0a705a00fe673eca89f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Algorithms</topic><topic>Applied and Technical Physics</topic><topic>Atomic</topic><topic>Complex Systems</topic><topic>Condensed Matter Physics</topic><topic>Entropy</topic><topic>Image processing</topic><topic>Information theory</topic><topic>Mathematical and Computational Physics</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Regular Article</topic><topic>Solar physics</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>da Silva, J. L. E.</creatorcontrib><creatorcontrib>Mendes, F. V.</creatorcontrib><creatorcontrib>Ramos, R. V.</creatorcontrib><collection>CrossRef</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest advanced technologies & aerospace journals</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><jtitle>European physical journal plus</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>da Silva, J. L. E.</au><au>Mendes, F. V.</au><au>Ramos, R. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Rκκ function and its applications: disentropy, image processing and the κ-diode</atitle><jtitle>European physical journal plus</jtitle><stitle>Eur. Phys. J. Plus</stitle><date>2022-03-01</date><risdate>2022</risdate><volume>137</volume><issue>3</issue><spage>320</spage><pages>320-</pages><artnum>320</artnum><issn>2190-5444</issn><eissn>2190-5444</eissn><abstract>Three generalizations of the Lambert
W
function were recently discussed in the literature: the Lambert–Tsallis
W
q
function, the
R
qq
function and the Lambert–Kaniadakis
W
κ
function. All of them have been used in interesting problems in physics and engineering. In this direction, the present work introduces a fourth generalization, the new function
R
κκ
(
z
), solution of the equation
R
κκ
(
z
) ×
κ
exp
κ
(
R
κκ
(
z
)) =
z
. In this work, it is shown this new function can be used to construct a new disentropy as well it is used to model the
κ
-diode, a hypothetical electronic device whose electrical current depends
κ
-exponentially on the voltage between its terminals. Analytical and numerical results for
R
κκ
, the new disentropy and
κ
-diode are presented.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.1140/epjp/s13360-022-02555-4</doi><orcidid>https://orcid.org/0000-0001-9116-1085</orcidid></addata></record> |
| fulltext | fulltext |
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| ispartof | European physical journal plus, 2022-03, Vol.137 (3), p.320, Article 320 |
| issn | 2190-5444 2190-5444 |
| language | eng |
| recordid | cdi_proquest_journals_2920378339 |
| source | Springer Nature |
| subjects | Algorithms Applied and Technical Physics Atomic Complex Systems Condensed Matter Physics Entropy Image processing Information theory Mathematical and Computational Physics Molecular Optical and Plasma Physics Physics Physics and Astronomy Regular Article Solar physics Theoretical |
| title | The Rκκ function and its applications: disentropy, image processing and the κ-diode |
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