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Volumn 21, Issue 8, 2010, Pages 603-612

Karlsson-Minton summation theorems for the generalized hypergeometric series of unit argument

Author keywords

Binomial coefficients; Combinatorial identities; Gamma function; Gauss's summation theorem; Generalized hypergeometric series; Hypergeometric function; Karlsson minton summation formulas; Stirling numbers of the second kind

Indexed keywords


EID: 77954688169     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460903497259     Document Type: Article
Times cited : (30)

References (10)
  • 1
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    • M. Abramowitz and I.A. Stegun, eds., NBS Applied Mathematics Series 55, National Bureau of Standards, Washington, DC, 1964, Dover Publishing Company, NewYork
    • M. Abramowitz and I.A. Stegun, eds., Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables, NBS Applied Mathematics Series 55, National Bureau of Standards, Washington, DC, 1964, Dover Publishing Company, NewYork, 1972.
    • (1972) Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables
  • 2
    • 0004216016 scopus 로고
    • Cambridge University Press, Cambridge, London and NewYork
    • G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge University Press, Cambridge, London and NewYork, 1990.
    • (1990) Basic Hypergeometric Series
    • Gasper, G.1    Rahman, M.2
  • 4
    • 0000474360 scopus 로고
    • Hypergeometric functions with integral parameter differences
    • P.W. Karlsson, Hypergeometric functions with integral parameter differences, J. Math. Phys. 12 (1971), pp. 270-271.
    • (1971) J. Math. Phys , vol.12 , pp. 270-271
    • Karlsson, P.W.1
  • 5
    • 67949095824 scopus 로고    scopus 로고
    • Certain summation and transformation formulas for generalized hypergeometric series
    • A.R. Miller, Certain summation and transformation formulas for generalized hypergeometric series, J. Comput. Appl. Math. 231 (2009), pp. 964-972.
    • (2009) J. Comput. Appl. Math , vol.231 , pp. 964-972
    • Miller, A.R.1
  • 6
    • 0000016826 scopus 로고
    • Generalized hypergeometric function of unit argument
    • B.M. Minton, Generalized hypergeometric function of unit argument, J. Math. Phys. 11 (1970), pp. 1375-1376.
    • (1970) J. Math. Phys , vol.11 , pp. 1375-1376
    • Minton, B.M.1
  • 7
    • 0001300672 scopus 로고
    • Integrals and Series
    • Gordon and Breach Science Publishers, NewYork
    • A.P. Prudnikov,Yu.A. Brychkov, and O.I. Marichev, Integrals and Series, Vols. 1 and 3, Gordon and Breach Science Publishers, NewYork, 1986.
    • (1986) And , vol.1
    • Prudnikov, A.P.1
  • 10
    • 0039623339 scopus 로고
    • Generalized hypergeometric functions with integral parameter differences
    • H.M. Srivastava, Generalized hypergeometric functions with integral parameter differences, Indag. Math. 35 (1973), pp. 38-40.
    • (1973) Indag. Math , vol.35 , pp. 38-40
    • Srivastava, H.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.