메뉴 건너뛰기




Volumn 137, Issue 2-3, 2003, Pages 261-275

Certain classes of finite-series relationships and generating functions involving the generalized Bessel polynomials

Author keywords

Bessel polynomials; Finite series relationships; Generalized hypergeometric function; Generating functions; Group theoretic (Lie algebraic) method; Hypergeometric polynomials; Kronecker delta; Laguerre polynomials; Stirling numbers of the second kind

Indexed keywords

BESSEL FUNCTIONS; NUMBER THEORY;

EID: 0037466694     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(02)00114-5     Document Type: Article
Times cited : (7)

References (18)
  • 1
    • 0003196145 scopus 로고
    • The confluent hypergeometric function
    • (Translated from the German by H. Lichtblau and K. Wetzel), New York: Springer
    • Buchholz H. The Confluent Hypergeometric Function (Translated from the German by H. Lichtblau and K. Wetzel). Springer Tracts in Natural Philosophy. vol. 15:1969;Springer, New York.
    • (1969) Springer Tracts in Natural Philosophy , vol.15
    • Buchholz, H.1
  • 2
    • 0000545147 scopus 로고
    • Some generating functions for the generalized Bessel polynomials
    • Chen M.-P., Feng C.-C., Srivastava H.M. Some generating functions for the generalized Bessel polynomials. Stud. Appl. Math. 87:1992;351-366.
    • (1992) Stud. Appl. Math. , vol.87 , pp. 351-366
    • Chen, M.-P.1    Feng, C.-C.2    Srivastava, H.M.3
  • 3
    • 0000929104 scopus 로고
    • A note on certain generating functions for the generalized Bessel polynomials
    • Chen M.-P., Srivastava H.M. A note on certain generating functions for the generalized Bessel polynomials. J. Math. Anal. Appl. 180:1993;151-159.
    • (1993) J. Math. Anal. Appl. , vol.180 , pp. 151-159
    • Chen, M.-P.1    Srivastava, H.M.2
  • 4
    • 0001067594 scopus 로고
    • Transformation of a certain series of products of confluent hypergeometric functions: Applications to Laguerre and Charlier polynomials
    • Erdélyi A. Transformation of a certain series of products of confluent hypergeometric functions: Applications to Laguerre and Charlier polynomials. Compos. Math. 7:1939;340-352.
    • (1939) Compos. Math. , vol.7 , pp. 340-352
    • Erdélyi, A.1
  • 5
    • 0000785375 scopus 로고
    • Some open problems of generalized Bessel polynomials
    • Galvez F., Dehesa J.S. Some open problems of generalized Bessel polynomials. J. Phys. A: Math. Gen. 17:1984;2759-2766.
    • (1984) J. Phys. A: Math. Gen. , vol.17 , pp. 2759-2766
    • Galvez, F.1    Dehesa, J.S.2
  • 8
    • 84966227705 scopus 로고
    • A new class of orthogonal polynomials: The Bessel polynomials
    • Krall H.L., Frink O. A new class of orthogonal polynomials: The Bessel polynomials. Trans. Amer. Math. Soc. 65:1949;100-115.
    • (1949) Trans. Amer. Math. Soc. , vol.65 , pp. 100-115
    • Krall, H.L.1    Frink, O.2
  • 10
  • 11
    • 0011581642 scopus 로고    scopus 로고
    • An extension of mixed trilateral generating functions of Bessel polynomial
    • Mukherjee M.C. An extension of mixed trilateral generating functions of Bessel polynomial. Acta Cienc. Indica Math. 26:2000;87-88.
    • (2000) Acta Cienc. Indica Math. , vol.26 , pp. 87-88
    • Mukherjee, M.C.1
  • 13
    • 0000337103 scopus 로고
    • Some bilateral generating functions for a certain class of special functions. I and II
    • Srivastava H.M. Some bilateral generating functions for a certain class of special functions. I and II. Nederl. Akad. Wetensch. Indag. Math. 42:1980;221-233. and 234-246.
    • (1980) Nederl. Akad. Wetensch. Indag. Math. , vol.42 , pp. 221-233
    • Srivastava, H.M.1
  • 14
    • 84983965323 scopus 로고
    • Some orthogonal polynomials representing the energy spectral functions for a family of isotropic turbulence fields
    • Srivastava H.M. Some orthogonal polynomials representing the energy spectral functions for a family of isotropic turbulence fields. Z. Angew. Math. Mech. 64:1984;255-257.
    • (1984) Z. Angew. Math. Mech. , vol.64 , pp. 255-257
    • Srivastava, H.M.1
  • 15
    • 38149147649 scopus 로고
    • Orthogonality relations and generating functions for the generalized Bessel polynomials
    • Srivastava H.M. Orthogonality relations and generating functions for the generalized Bessel polynomials. Appl. Math. Comput. 61:1994;99-134.
    • (1994) Appl. Math. Comput. , vol.61 , pp. 99-134
    • Srivastava, H.M.1
  • 16
    • 0004162942 scopus 로고
    • New York, Chichester, Brisbane, and Toronto: Halsted Press (Ellis Horwood Limited, Chichester), Wiley
    • Srivastava H.M., Manocha H.L. A Treatise on Generating Functions. 1984;Halsted Press (Ellis Horwood Limited, Chichester), Wiley, New York, Chichester, Brisbane, and Toronto.
    • (1984) A Treatise on Generating Functions
    • Srivastava, H.M.1    Manocha, H.L.2
  • 17
    • 0003199229 scopus 로고
    • Orthogonal polynomials. Fourth ed.
    • Providence, Rhode Island: American Mathematical Society
    • Szegö G. Orthogonal Polynomials. Fourth ed. American Mathematical Society Colloquium Publications. vol. 23:1975;American Mathematical Society, Providence, Rhode Island.
    • (1975) American Mathematical Society Colloquium Publications , vol.23
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.