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Volumn 36, Issue 3, 1999, Pages 752-770

Excursions of birth and death processes, orthogonal polynomials, and continued fractions

Author keywords

Birth and death process; Continued fraction; Orthogonal polynomial; Spectral measure

Indexed keywords


EID: 0033236710     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0021900200017551     Document Type: Article
Times cited : (21)

References (15)
  • 1
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    • Handbook of mathematical functions
    • National Bureau of Standards, Washington DC
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    • (1972) Applied Mathematics Series , vol.55
    • Abramowitz, M.1    Stegun, I.2
  • 3
    • 0001404363 scopus 로고
    • Recurrence relations, continued fractions, and orthogonal polynomials
    • ASKEY, R. AND ISMAIL, M. E. H. (1984). Recurrence relations, continued fractions, and orthogonal polynomials. Memoirs of the American Mathematical Society, Vol. 49, Number 300.
    • (1984) Memoirs of the American Mathematical Society , vol.49 , Issue.300
    • Askey, R.1    Ismail, M.E.H.2
  • 5
    • 0001566894 scopus 로고
    • Applications of Stieltjes theory for S-fractions to birth and death processes
    • BORDES, G. AND ROEHNER, B. (1983). Applications of Stieltjes theory for S-fractions to birth and death processes. Adv. Appl. Prob. 15, 507-530.
    • (1983) Adv. Appl. Prob. , vol.15 , pp. 507-530
    • Bordes, G.1    Roehner, B.2
  • 7
    • 0001741669 scopus 로고    scopus 로고
    • Continued fraction analysis of the duration of an excursion in an M/M/∞ system
    • GUILLEMIN, F. AND PINCHON, D. (1998). Continued fraction analysis of the duration of an excursion in an M/M/∞ system. J. Appl. Prob. 35, 165-183.
    • (1998) J. Appl. Prob. , vol.35 , pp. 165-183
    • Guillemin, F.1    Pinchon, D.2
  • 8
    • 0001387210 scopus 로고
    • Transient characteristics of an M/M/∞ system
    • GUILLEMIN, F. AND SIMONIAN, A. ( 1995). Transient characteristics of an M/M/∞ system. Adv. Appl. Prob. 27, 862-888.
    • (1995) Adv. Appl. Prob. , vol.27 , pp. 862-888
    • Guillemin, F.1    Simonian, A.2
  • 10
    • 0009275761 scopus 로고
    • Birth and death processes and orthogonal polynomials
    • ed. P. Nevai. Kluwer, Dordrecht
    • ISMAIL, M. E. H., LETESSIER, J., MASSON, D. AND VALENT, G. (1990). Birth and death processes and orthogonal polynomials. In Orthogonal polynomials, ed. P. Nevai. Kluwer, Dordrecht, pp. 229-255.
    • (1990) Orthogonal Polynomials , pp. 229-255
    • Ismail, M.E.H.1    Letessier, J.2    Masson, D.3    Valent, G.4
  • 11
    • 84968465028 scopus 로고
    • The classification of birth and death processes
    • KARLIN, S. AND MCGREGOR, J. (1957). The classification of birth and death processes. Trans. Amer. Math. Soc. 86, 366-401.
    • (1957) Trans. Amer. Math. Soc. , vol.86 , pp. 366-401
    • Karlin, S.1    McGregor, J.2
  • 12
    • 0000036102 scopus 로고
    • The differential equation of birth and death processes, and the Stieltjes moment problem
    • KARLIN, S. AND MCGREGOR, J. (1957). The differential equation of birth and death processes, and the Stieltjes moment problem. Trans. Amer. Math. Soc. 85, 489-546.
    • (1957) Trans. Amer. Math. Soc. , vol.85 , pp. 489-546
    • Karlin, S.1    McGregor, J.2
  • 13
    • 0001765588 scopus 로고
    • Linear growth birth and death processes
    • KARLIN, S. AND MCGREGOR, J. (1958). Linear growth birth and death processes. J. Math. Mech. 7, 643-662.
    • (1958) J. Math. Mech. , vol.7 , pp. 643-662
    • Karlin, S.1    McGregor, J.2
  • 15
    • 0023602623 scopus 로고
    • A queueing analysis of hashing with lazy deletion
    • MORRISON, J., SHEPP, J. AND VAN WYCK, C. (1987). A queueing analysis of hashing with lazy deletion. SIAM J. Computing 16, 1155-1164.
    • (1987) SIAM J. Computing , vol.16 , pp. 1155-1164
    • Morrison, J.1    Shepp, J.2    Van Wyck, C.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.