Some results on the generalized Mittag-Leffler function operator

Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are...
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Autor*in:	Prajapati, JC [verfasserIn] Jana, RK [verfasserIn] Saxena, RK [verfasserIn] Shukla, AK [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	generalized Mittag-Leffler function Laplace transform Mellin transform H-function generalized Wright function

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2013(2013), 1 vom: 29. Jan.
Übergeordnetes Werk:	volume:2013 ; year:2013 ; number:1 ; day:29 ; month:01

Links:	Volltext

DOI / URN:	10.1186/1029-242X-2013-33

Katalog-ID:	SPR03238453X

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allfields	10.1186/1029-242X-2013-33 doi (DE-627)SPR03238453X (SPR)1029-242X-2013-33-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Prajapati, JC verfasserin aut Some results on the generalized Mittag-Leffler function operator 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45. generalized Mittag-Leffler function (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Mellin transform (dpeaa)DE-He213 H-function (dpeaa)DE-He213 generalized Wright function (dpeaa)DE-He213 Jana, RK verfasserin aut Saxena, RK verfasserin aut Shukla, AK verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 29. Jan. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:29 month:01 https://dx.doi.org/10.1186/1029-242X-2013-33 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 29 01
spelling	10.1186/1029-242X-2013-33 doi (DE-627)SPR03238453X (SPR)1029-242X-2013-33-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Prajapati, JC verfasserin aut Some results on the generalized Mittag-Leffler function operator 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45. generalized Mittag-Leffler function (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Mellin transform (dpeaa)DE-He213 H-function (dpeaa)DE-He213 generalized Wright function (dpeaa)DE-He213 Jana, RK verfasserin aut Saxena, RK verfasserin aut Shukla, AK verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 29. Jan. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:29 month:01 https://dx.doi.org/10.1186/1029-242X-2013-33 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 29 01
allfields_unstemmed	10.1186/1029-242X-2013-33 doi (DE-627)SPR03238453X (SPR)1029-242X-2013-33-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Prajapati, JC verfasserin aut Some results on the generalized Mittag-Leffler function operator 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45. generalized Mittag-Leffler function (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Mellin transform (dpeaa)DE-He213 H-function (dpeaa)DE-He213 generalized Wright function (dpeaa)DE-He213 Jana, RK verfasserin aut Saxena, RK verfasserin aut Shukla, AK verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 29. Jan. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:29 month:01 https://dx.doi.org/10.1186/1029-242X-2013-33 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 29 01
allfieldsGer	10.1186/1029-242X-2013-33 doi (DE-627)SPR03238453X (SPR)1029-242X-2013-33-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Prajapati, JC verfasserin aut Some results on the generalized Mittag-Leffler function operator 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45. generalized Mittag-Leffler function (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Mellin transform (dpeaa)DE-He213 H-function (dpeaa)DE-He213 generalized Wright function (dpeaa)DE-He213 Jana, RK verfasserin aut Saxena, RK verfasserin aut Shukla, AK verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 29. Jan. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:29 month:01 https://dx.doi.org/10.1186/1029-242X-2013-33 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 29 01
allfieldsSound	10.1186/1029-242X-2013-33 doi (DE-627)SPR03238453X (SPR)1029-242X-2013-33-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Prajapati, JC verfasserin aut Some results on the generalized Mittag-Leffler function operator 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45. generalized Mittag-Leffler function (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Mellin transform (dpeaa)DE-He213 H-function (dpeaa)DE-He213 generalized Wright function (dpeaa)DE-He213 Jana, RK verfasserin aut Saxena, RK verfasserin aut Shukla, AK verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 29. Jan. (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:29 month:01 https://dx.doi.org/10.1186/1029-242X-2013-33 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2013 2013 1 29 01
language	English
source	Enthalten in Journal of inequalities and applications 2013(2013), 1 vom: 29. Jan. volume:2013 year:2013 number:1 day:29 month:01
sourceStr	Enthalten in Journal of inequalities and applications 2013(2013), 1 vom: 29. Jan. volume:2013 year:2013 number:1 day:29 month:01
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	generalized Mittag-Leffler function Laplace transform Mellin transform H-function generalized Wright function
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author	Prajapati, JC
spellingShingle	Prajapati, JC ddc 510 bkl 31.49 misc generalized Mittag-Leffler function misc Laplace transform misc Mellin transform misc H-function misc generalized Wright function Some results on the generalized Mittag-Leffler function operator
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topic_title	510 ASE 31.49 bkl Some results on the generalized Mittag-Leffler function operator generalized Mittag-Leffler function (dpeaa)DE-He213 Laplace transform (dpeaa)DE-He213 Mellin transform (dpeaa)DE-He213 H-function (dpeaa)DE-He213 generalized Wright function (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc generalized Mittag-Leffler function misc Laplace transform misc Mellin transform misc H-function misc generalized Wright function
topic_unstemmed	ddc 510 bkl 31.49 misc generalized Mittag-Leffler function misc Laplace transform misc Mellin transform misc H-function misc generalized Wright function
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title	Some results on the generalized Mittag-Leffler function operator
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title_full	Some results on the generalized Mittag-Leffler function operator
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title_sort	some results on the generalized mittag-leffler function operator
title_auth	Some results on the generalized Mittag-Leffler function operator
abstract	Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45.
abstractGer	Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45.
abstract_unstemmed	Abstract This paper is devoted to the study of a generalized Mittag-Leffler function operator introduced by Shukla and Prajapati (J. Math. Anal. Appl. 336:797-811, 2007). Laplace and Mellin transforms of this operator are investigated in this paper. Some special cases of the established results are also deduced as corollaries. The results obtained are useful where the Mittag-Leffler function occurs naturally. MSC:33E12, 26A33, 44A45.
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title_short	Some results on the generalized Mittag-Leffler function operator
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code="a">GBV_ILN_4307</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4313</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4322</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4323</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4324</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4325</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4326</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4335</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4338</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4367</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_4700</subfield></datafield><datafield tag="936" ind1="b" ind2="k"><subfield code="a">31.49</subfield><subfield code="q">ASE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">2013</subfield><subfield code="j">2013</subfield><subfield code="e">1</subfield><subfield code="b">29</subfield><subfield code="c">01</subfield></datafield></record></collection>
score	7.400609

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Some results on the generalized Mittag-Leffler function operator

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