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Volumn 194, Issue 1 SPEC. ISS., 2006, Pages 131-140

Extensions of the Kummer evaluation of a finite hypergeometric series

Author keywords

Jost function; Special functions; Spectral theory

Indexed keywords

FUNCTIONS; LINEAR EQUATIONS; MATHEMATICAL MODELS; ONE DIMENSIONAL;

EID: 33646373197     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.06.018     Document Type: Article
Times cited : (2)

References (9)
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    • 1542407689 scopus 로고    scopus 로고
    • The Hurwitz theorem for Bessel functions and antibound states in spectral theory
    • Brown B.M., and Eastham M.S.P. The Hurwitz theorem for Bessel functions and antibound states in spectral theory. Proc. Roy. Soc. London A 459 (2003) 2431-2448
    • (2003) Proc. Roy. Soc. London A , vol.459 , pp. 2431-2448
    • Brown, B.M.1    Eastham, M.S.P.2
  • 3
    • 3042524196 scopus 로고    scopus 로고
    • Extended Hurwitz results for hypergeometric functions arising in spectral theory
    • Brown B.M., and Eastham M.S.P. Extended Hurwitz results for hypergeometric functions arising in spectral theory. J. Comput. Appl. Math. 171 1-2 (2004) 113-121
    • (2004) J. Comput. Appl. Math. , vol.171 , Issue.1-2 , pp. 113-121
    • Brown, B.M.1    Eastham, M.S.P.2
  • 4
    • 0036402862 scopus 로고    scopus 로고
    • Antibound states and exponentially decaying Sturm-Liouville potentials
    • Eastham M.S.P. Antibound states and exponentially decaying Sturm-Liouville potentials. J. London Math. Soc. (2) 65 3 (2002) 624-638
    • (2002) J. London Math. Soc. (2) , vol.65 , Issue.3 , pp. 624-638
    • Eastham, M.S.P.1
  • 5
    • 0000534261 scopus 로고
    • Ueber die Nullstellen der Bessel'schen Function
    • Hurwitz A. Ueber die Nullstellen der Bessel'schen Function. Math. Ann. 33 (1889) 246-266
    • (1889) Math. Ann. , vol.33 , pp. 246-266
    • Hurwitz, A.1
  • 6
    • 84880641024 scopus 로고
    • Ueber die hypergeometrische Reihe
    • Kummer E.E. Ueber die hypergeometrische Reihe. J. für Math. 15 (1836) 39-83
    • (1836) J. für Math. , vol.15 , pp. 39-83
    • Kummer, E.E.1
  • 7
    • 0004259926 scopus 로고    scopus 로고
    • AK Peters Ltd., Wellesley, MA (with a separately available computer disk)
    • Petkovšek M., Wilf H.S., and Zeilberger D. A = B (1996), AK Peters Ltd., Wellesley, MA (with a separately available computer disk)
    • (1996) A = B
    • Petkovšek, M.1    Wilf, H.S.2    Zeilberger, D.3
  • 8
    • 1542456821 scopus 로고
    • The zeros of Lommel's polynomials
    • Watson G.N. The zeros of Lommel's polynomials. Proc. London Math. Soc. (2) 19 (1921) 266-272
    • (1921) Proc. London Math. Soc. (2) , vol.19 , pp. 266-272
    • Watson, G.N.1
  • 9
    • 0003851678 scopus 로고
    • Cambridge University Press, Cambridge (Reprint of the second (1944) edition)
    • Watson G.N. A Treatise on the Theory of Bessel Functions (1995), Cambridge University Press, Cambridge (Reprint of the second (1944) edition)
    • (1995) A Treatise on the Theory of Bessel Functions
    • Watson, G.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.