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Volumn 1, Issue 3, 2012, Pages 238-258

A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions

Author keywords

Appell Lauricella hypergeometric functions; Eulerian integrals; Fractional derivative operators; Gamma and beta functions; Generating functions; Hypergeometric functions; Mellin transforms

Indexed keywords


EID: 84884509799     PISSN: None     EISSN: 20751680     Source Type: Journal    
DOI: 10.3390/axioms1030238     Document Type: Article
Times cited : (74)

References (15)
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    • Özarslan, M.A.1    Özergin, E.2
  • 2
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    • Asymptotic and closed form of a generalized incomplete gamma function
    • Chaudhry, M.A.; Temme, N.M.; Veling, E.J.M. Asymptotic and closed form of a generalized incomplete gamma function. J. Comput. Appl. Math. 1996, 67, 371-379
    • (1996) J. Comput. Appl. Math , vol.67 , pp. 371-379
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  • 4
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    • Generalized incomplete gamma functions with applications
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    • (1994) J. Comput. Appl. Math , vol.55 , pp. 99-124
    • Chaudhry, M.A.1    Zubair, S.M.2
  • 5
    • 0000154822 scopus 로고
    • On the decomposition of generalized incomplete gamma functions with applications of Fourier transforms
    • Chaudhry, M.A.; Zubair, S.M. On the decomposition of generalized incomplete gamma functions with applications of Fourier transforms. J. Comput. Appl. Math. 1995, 59, 253-284
    • (1995) J. Comput. Appl. Math , vol.59 , pp. 253-284
    • Chaudhry, M.A.1    Zubair, S.M.2
  • 6
    • 0034347770 scopus 로고    scopus 로고
    • Reduction of a generalized incomplete gamma function, related Kampé de Fériet functions, and incomplete Weber integrals
    • Miller, A.R. Reduction of a generalized incomplete gamma function, related Kampé de Fériet functions, and incomplete Weber integrals. Rocky Mountain J. Math. 2000, 30, 703-714
    • (2000) Rocky Mountain J. Math , vol.30 , pp. 703-714
    • Miller, A.R.1
  • 7
    • 79958254898 scopus 로고    scopus 로고
    • Extension of gamma, beta and hypergeometric functions
    • Özergin, E.; Özarslan, M.A.; Altin, A. Extension of gamma, beta and hypergeometric functions. J. Comput. Appl. Math. 2011, 235, 4601-4610
    • (2011) J. Comput. Appl. Math , vol.235 , pp. 4601-4610
    • Özergin, E.1    Özarslan, M.A.2    Altin, A.3
  • 12
    • 77956684069 scopus 로고    scopus 로고
    • Theory and Applications of Fractional Differential Equations
    • Elsevier (North-Holland) Science Publishers: Amsterdam, The Netherlands
    • Kilbas, A.A.; Srivastava, H.M.; Trujillo, J.J. Theory and Applications of Fractional Differential Equations. North-Holland Mathematical Studies; Elsevier (North-Holland) Science Publishers: Amsterdam, The Netherlands, 2006; Volume 204
    • (2006) North-Holland Mathematical Studies , vol.204
    • Kilbas, A.A.1    Srivastava, H.M.2    Trujillo, J.J.3
  • 14
    • 0004162942 scopus 로고
    • Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons: New York, NY, USA
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    • Srivastava, H.M.1    Manocha, H.L.2
  • 15
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    • Operators of fractional integration and their applications
    • Srivastava, H.M.; Saxena, R.K. Operators of fractional integration and their applications. Appl. Math. Comput. 2001, 118, 1-52
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    • Srivastava, H.M.1    Saxena, R.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.