Certain Laplace transforms of convolution type integrals involving product of two special pFp functions
Recently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272]. In this paper, the authors aim at presenting several new and interesting Laplace transforms of convolution type integrals involvi...
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| Format: | Article |
| Language: | English |
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De Gruyter
2018-10-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0025/dema-2018-0025.xml?format=INT |
| _version_ | 1819181305748783104 |
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| author | Milovanović Gradimir V. Parmar Rakesh K. Rathie Arjun K. |
| author_facet | Milovanović Gradimir V. Parmar Rakesh K. Rathie Arjun K. |
| author_sort | Milovanović Gradimir V. |
| collection | DOAJ |
| description | Recently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272]. In this paper, the authors aim at presenting several new and interesting Laplace transforms of convolution type integrals involving product of two special generalized hypergeometric functions pFp by employing classical summation theorems for the series 2F1, 3F2, 4F3 and 5F4 available in the literature. |
| first_indexed | 2024-12-22T22:28:08Z |
| format | Article |
| id | doaj.art-5c639ef94c26465cb077dcc6fdb1530c |
| institution | Directory Open Access Journal |
| issn | 2391-4661 |
| language | English |
| last_indexed | 2024-12-22T22:28:08Z |
| publishDate | 2018-10-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Demonstratio Mathematica |
| spelling | doaj.art-5c639ef94c26465cb077dcc6fdb1530c2022-12-21T18:10:30ZengDe GruyterDemonstratio Mathematica2391-46612018-10-0151126427610.1515/dema-2018-0025dema-2018-0025Certain Laplace transforms of convolution type integrals involving product of two special pFp functionsMilovanović Gradimir V.0Parmar Rakesh K.1Rathie Arjun K.2Serbian Academy of Sciences and Arts,Belgrade, SerbiaDepartment of Mathematics, Government College of Engineering and Technology, Bikaner-334004,Rajasthan, IndiaDepartment of Mathematics, Vedant College of Engineering and Technology, Rajasthan Technical University,Bundi, IndiaRecently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272]. In this paper, the authors aim at presenting several new and interesting Laplace transforms of convolution type integrals involving product of two special generalized hypergeometric functions pFp by employing classical summation theorems for the series 2F1, 3F2, 4F3 and 5F4 available in the literature.http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0025/dema-2018-0025.xml?format=INTGauss’s summation theoremGauss’s second summation theoremBailey’s summation theoremKummer’s summation theoremWatson’s summation theoremDixon’s summation theoremWhipple’s first and second summation theoremsDougall’s theoremLaplace transformConvolution type integralsPrimary 33C20Secondary 33C0533C90 |
| spellingShingle | Milovanović Gradimir V. Parmar Rakesh K. Rathie Arjun K. Certain Laplace transforms of convolution type integrals involving product of two special pFp functions Demonstratio Mathematica Gauss’s summation theorem Gauss’s second summation theorem Bailey’s summation theorem Kummer’s summation theorem Watson’s summation theorem Dixon’s summation theorem Whipple’s first and second summation theorems Dougall’s theorem Laplace transform Convolution type integrals Primary 33C20 Secondary 33C05 33C90 |
| title | Certain Laplace transforms of convolution type integrals involving product of two special pFp functions |
| title_full | Certain Laplace transforms of convolution type integrals involving product of two special pFp functions |
| title_fullStr | Certain Laplace transforms of convolution type integrals involving product of two special pFp functions |
| title_full_unstemmed | Certain Laplace transforms of convolution type integrals involving product of two special pFp functions |
| title_short | Certain Laplace transforms of convolution type integrals involving product of two special pFp functions |
| title_sort | certain laplace transforms of convolution type integrals involving product of two special pfp functions |
| topic | Gauss’s summation theorem Gauss’s second summation theorem Bailey’s summation theorem Kummer’s summation theorem Watson’s summation theorem Dixon’s summation theorem Whipple’s first and second summation theorems Dougall’s theorem Laplace transform Convolution type integrals Primary 33C20 Secondary 33C05 33C90 |
| url | http://www.degruyter.com/view/j/dema.2018.51.issue-1/dema-2018-0025/dema-2018-0025.xml?format=INT |
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