메뉴 건너뛰기




Volumn 219, Issue 6, 2012, Pages 3219-3225

Generating functions for a certain class of incomplete hypergeometric polynomials

Author keywords

Binomial coefficients; Gamma function; Generating functions; Incomplete Gamma functions; Incomplete hypergeometric functions; Incomplete hypergeometric polynomials; Incomplete Pochhammer symbols; Pochhammer symbol

Indexed keywords

BINOMIAL COEFFICIENTS; GAMMA FUNCTION; GENERATING FUNCTIONS; HYPERGEOMETRIC FUNCTIONS; INCOMPLETE GAMMA FUNCTIONS; POCHHAMMER SYMBOL;

EID: 84868503143     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2012.09.059     Document Type: Article
Times cited : (50)

References (33)
  • 3
    • 0011036222 scopus 로고
    • Generalized Hypergeometric Series
    • Cambridge University Press Cambridge, London and New York
    • W.N. Bailey Generalized Hypergeometric Series Cambridge Tracts in Mathematics and Mathematical Physics vol. 32 1935 Cambridge University Press Cambridge, London and New York
    • (1935) Cambridge Tracts in Mathematics and Mathematical Physics , vol.32
    • Bailey, W.N.1
  • 4
    • 84968514159 scopus 로고
    • New generating functions for classical polynomials
    • J.W. Brown New generating functions for classical polynomials Proc. Amer. Math. Soc. 21 1969 263 268
    • (1969) Proc. Amer. Math. Soc. , vol.21 , pp. 263-268
    • Brown, J.W.1
  • 5
    • 84972513994 scopus 로고
    • Some generating functions for Laguerre polynomials
    • L. Carlitz Some generating functions for Laguerre polynomials Duke Math. J. 35 1968 825 827
    • (1968) Duke Math. J. , vol.35 , pp. 825-827
    • Carlitz, L.1
  • 9
    • 84972498545 scopus 로고
    • A series transformation for finding convolution identities
    • H.W. Gould A series transformation for finding convolution identities Duke Math. J. 28 1961 193 202
    • (1961) Duke Math. J. , vol.28 , pp. 193-202
    • Gould, H.W.1
  • 14
    • 0003823906 scopus 로고    scopus 로고
    • An Atlas of Functions
    • the Atlas Function Calculator, second ed. [With 1 CD-ROM (Windows)], Springer, Berlin, Heidelberg and New York
    • K.B. Oldham, J. Myland, J. Spanier, An Atlas of Functions. With Equator, the Atlas Function Calculator, second ed. [With 1 CD-ROM (Windows)], Springer, Berlin, Heidelberg and New York, 2009.
    • (2009) With Equator
    • Oldham, K.B.1    Myland, J.2    Spanier, J.3
  • 16
    • 0003938791 scopus 로고
    • (Translated from the German by D. Aeppli), Springer-Verlag, New York, Heidelberg and Berlin
    • G. Pólya, G. Szegö, Problems and Theorems in Analysis, vol. 1 (Translated from the German by D. Aeppli), Springer-Verlag, New York, Heidelberg and Berlin, 1972.
    • (1972) Problems and Theorems in Analysis , vol.1
    • G. Pólya1
  • 17
    • 0004126854 scopus 로고
    • Macmillan Company, New York, 1960; Reprinted by Chelsea publishing Company, Bronx, New York
    • E.D. Rainville, Special Functions, Macmillan Company, New York, 1960; Reprinted by Chelsea publishing Company, Bronx, New York, 1971.
    • (1971) Special Functions
    • Rainville, E.D.1
  • 19
    • 84868443640 scopus 로고
    • Generating functions for Jacobi and Laguerre polynomials
    • H.M. Srivastava Generating functions for Jacobi and Laguerre polynomials Proc. Amer. Math. Soc. 23 1969 590 595
    • (1969) Proc. Amer. Math. Soc. , vol.23 , pp. 590-595
    • Srivastava, H.M.1
  • 20
    • 84972500413 scopus 로고
    • Some generalizations of Carlitz's theorem
    • H.M. Srivastava Some generalizations of Carlitz's theorem Pacific J. Math. 85 1979 471 477
    • (1979) Pacific J. Math. , vol.85 , pp. 471-477
    • Srivastava, H.M.1
  • 22
    • 0039050610 scopus 로고
    • Some polynomials defined by generating relations
    • Addendum, Trans. Amer. Math. Soc. 226 (1977), 393-394
    • H.M. Srivastava, R.G. Buschman, Some polynomials defined by generating relations, Trans. Amer. Math. Soc. 205 (1975), 360-370; see also Addendum, Trans. Amer. Math. Soc. 226 (1977), 393-394.
    • (1975) Trans. Amer. Math. Soc. , vol.205 , pp. 360-370
    • Srivastava, H.M.1    Buschman, R.G.2
  • 23
    • 84865236200 scopus 로고    scopus 로고
    • The incomplete Pochhammer symbols and their applications to hypergeometric and related functions
    • H.M. Srivastava, M.A. Chaudhry, and R.P. Agarwal The incomplete Pochhammer symbols and their applications to hypergeometric and related functions Integral Transforms Spec. Funct. 23 2012 659 683
    • (2012) Integral Transforms Spec. Funct. , vol.23 , pp. 659-683
    • Srivastava, H.M.1    Chaudhry, M.A.2    Agarwal, R.P.3
  • 26
    • 0003791753 scopus 로고
    • Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto
    • H.M. Srivastava, and P.W. Karlsson Multiple Gaussian Hypergeometric Series 1985 Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto
    • (1985) Multiple Gaussian Hypergeometric Series
    • Srivastava, H.M.1    Karlsson, P.W.2
  • 28
    • 0004162942 scopus 로고
    • Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto
    • H.M. Srivastava, and H.L. Manocha A Treatise on Generating Functions 1984 Halsted Press (Ellis Horwood Limited, Chichester), John Wiley and Sons, New York, Chichester, Brisbane and Toronto
    • (1984) A Treatise on Generating Functions
    • Srivastava, H.M.1    Manocha, H.L.2
  • 29
    • 25844460775 scopus 로고
    • Some expansion theorems and generating relations for the H function of several complex variables II
    • H.M. Srivastava, and R. Panda Some expansion theorems and generating relations for the H function of several complex variables II Comment. Math. Univ. St. Paul. 25 2 1976 167 197
    • (1976) Comment. Math. Univ. St. Paul. , vol.25 , Issue.2 , pp. 167-197
    • Srivastava, H.M.1    Panda, R.2
  • 33
    • 84968521979 scopus 로고
    • A new class of generating functions for hypergeometric polynomials
    • D. Zeitlin A new class of generating functions for hypergeometric polynomials Proc. Amer. Math. Soc. 25 1970 405 412
    • (1970) Proc. Amer. Math. Soc. , vol.25 , pp. 405-412
    • Zeitlin, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.