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Volumn 248, Issue , 2014, Pages 631-651

Some results on the extended beta and extended hypergeometric functions

Author keywords

Extended beta function; Extended Gauss hypergeometric function; Extended generalized hypergeometric function; Fractional integral; H function; Laguerre polynomial

Indexed keywords

BETA FUNCTION; FRACTIONAL INTEGRALS; GAUSS HYPERGEOMETRIC FUNCTION; GENERALIZED HYPERGEOMETRIC FUNCTIONS; H FUNCTION; LAGUERRE POLYNOMIAL;

EID: 84908403212     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2014.09.110     Document Type: Article
Times cited : (62)

References (33)
  • 1
    • 84896818855 scopus 로고    scopus 로고
    • Certain properties of the generalized Gauss hypergeometric functions
    • P. Agarwal Certain properties of the generalized Gauss hypergeometric functions Appl. Math. Inf. Sci. 8 5 2014 2315 2320
    • (2014) Appl. Math. Inf. Sci. , vol.8 , Issue.5 , pp. 2315-2320
    • Agarwal, P.1
  • 5
    • 84900992799 scopus 로고    scopus 로고
    • On generalized fractional integral operators and the generalized Gauss hypergeometric functions
    • Article ID 630840, 5 pages.
    • D. Baleanu, and P. Agarwal On generalized fractional integral operators and the generalized Gauss hypergeometric functions Abstr. Appl. Anal. 2014 2014 Article ID 630840, 5 pages. http://dx.doi.org/10.1155/2014/630840
    • (2014) Abstr. Appl. Anal. , vol.2014
    • Baleanu, D.1    Agarwal, P.2
  • 7
    • 1842730304 scopus 로고    scopus 로고
    • A direct approach to the Mellin transform
    • P.L. Butzer, and S. Jansche A direct approach to the Mellin transform J. Fourier Anal. 3 1997 325 376
    • (1997) J. Fourier Anal. , vol.3 , pp. 325-376
    • Butzer, P.L.1    Jansche, S.2
  • 10
  • 15
    • 0010987191 scopus 로고
    • Integral operators involving hypergeometric functions
    • S.L. Kalla, and R.K. Saxena Integral operators involving hypergeometric functions Math. Z. 108 1969 231 234
    • (1969) Math. Z. , vol.108 , pp. 231-234
    • Kalla, S.L.1    Saxena, R.K.2
  • 16
    • 79955811417 scopus 로고    scopus 로고
    • Chapman and Hall (CRC Press Company) Boca Raton, London, New York, Washington, D.C
    • A.A. Kilbas, and M. Saigo H-Transforms: Theory and Applications 2004 Chapman and Hall (CRC Press Company) Boca Raton, London, New York, Washington, D.C
    • (2004) H-Transforms: Theory and Applications
    • Kilbas, A.A.1    Saigo, M.2
  • 19
    • 0010813790 scopus 로고
    • On fractional integrals and derivatives
    • H. Kober On fractional integrals and derivatives Quart. J. Math. (Oxford) 11 1940 193 211
    • (1940) Quart. J. Math. (Oxford) , vol.11 , pp. 193-211
    • Kober, H.1
  • 20
    • 84904204542 scopus 로고    scopus 로고
    • Generalization of extended beta function, hypergeometric and confluent hypergeometric functions
    • D.M. Lee, A.K. Rathie, R.K. Parmar, and Y.S. Kim Generalization of extended beta function, hypergeometric and confluent hypergeometric functions Honam Math. J. 33 2 2011 187 206
    • (2011) Honam Math. J. , vol.33 , Issue.2 , pp. 187-206
    • Lee, D.M.1    Rathie, A.K.2    Parmar, R.K.3    Kim, Y.S.4
  • 21
    • 0003260997 scopus 로고
    • Generalized hypergeometric functions with applications in statistics and physical sciences
    • Springer-Verlag Berlin, Heidelberg, New York
    • A.M. Mathai, and R.K. Saxena Generalized hypergeometric functions with applications in statistics and physical sciences Lecture Notes in Mathematics vol. 348 1973 Springer-Verlag Berlin, Heidelberg, New York
    • (1973) Lecture Notes in Mathematics , vol.348 VOL.
    • Mathai, A.M.1    Saxena, R.K.2
  • 23
    • 0032202832 scopus 로고    scopus 로고
    • Remarks on a generalized beta function
    • A.R. Miller Remarks on a generalized beta function J. Comput. Appl. Math. 100 1998 23 32
    • (1998) J. Comput. Appl. Math. , vol.100 , pp. 23-32
    • Miller, A.R.1
  • 24
    • 84908453656 scopus 로고    scopus 로고
    • Properties and applications of extended hypergeometric functions
    • D.K. Nagar, N.A. Moran-Vasquez, and A.K. Gupta Properties and applications of extended hypergeometric functions Ingenieria y Ciencia 10 19 2014 11 31
    • (2014) Ingenieria y Ciencia , vol.10 , Issue.19 , pp. 11-31
    • Nagar, D.K.1    Moran-Vasquez, N.A.2    Gupta, A.K.3
  • 25
    • 0001263001 scopus 로고
    • Hypergeometric functions
    • N.E. Nrlund Hypergeometric functions Acta Math. 94 1955 289 349
    • (1955) Acta Math. , vol.94 , pp. 289-349
    • Nrlund, N.E.1
  • 26
    • 84896519461 scopus 로고    scopus 로고
    • Extended generalized hypergeometric functions and their applications
    • M.-J. Luo, and R.K. Raina Extended generalized hypergeometric functions and their applications Bull. Math. Anal. Appl. 5 4 2013 65 77
    • (2013) Bull. Math. Anal. Appl. , vol.5 , Issue.4 , pp. 65-77
    • Luo, M.-J.1    Raina, R.K.2
  • 28
    • 84899746242 scopus 로고    scopus 로고
    • The extended Mittag-Leffler function and its properties
    • M.A. Özarslan, and B. Yilmaz The extended Mittag-Leffler function and its properties J. Inequal. Appl. 85 2014
    • (2014) J. Inequal. Appl. , vol.85
    • Özarslan, M.A.1    Yilmaz, B.2
  • 29
    • 77956009547 scopus 로고    scopus 로고
    • Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
    • M.A. Özarslan, and E. Özergin Some generating relations for extended hypergeometric functions via generalized fractional derivative operator Math. Comput. Model. 52 2010 1825 1833
    • (2010) Math. Comput. Model. , vol.52 , pp. 1825-1833
    • Özarslan, M.A.1    Özergin, E.2
  • 30
    • 79958254898 scopus 로고    scopus 로고
    • Extension of gamma, beta and hypergeometric functions
    • E. Özergin, M.A. Özarslan, and A. Altin Extension of gamma, beta and hypergeometric functions J. Comput. Appl. Math. 235 2011 4601 4610
    • (2011) J. Comput. Appl. Math. , vol.235 , pp. 4601-4610
    • Özergin, E.1    Özarslan, M.A.2    Altin, A.3
  • 33
    • 84884509799 scopus 로고    scopus 로고
    • A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions
    • H.M. Srivastava, R.K. Parmar, and P. Chopra A class of extended fractional derivative operators and associated generating relations involving hypergeometric functions Axioms I 2012 238 258
    • (2012) Axioms , vol.I , pp. 238-258
    • Srivastava, H.M.1    Parmar, R.K.2    Chopra, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.