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Volumn , Issue , 2007, Pages 15-26

Enumeration of the real zeros of the mittag-leffler function E α(z), 1 <α< 2

Author keywords

fractional calculus; Mittag Leffler functions; zeros

Indexed keywords


EID: 80053183604     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4020-6042-7_2     Document Type: Chapter
Times cited : (29)

References (19)
  • 3
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    • Humbert P (1953) Quelques resultants relatifs a la fonction de Mittag-Leffler. Comptes Rendus de l'Academie des Sciences, Paris, Vol. 236, pp. 1467-1468.
    • (1953) Comptes Rendus de L'Academie des Sciences, Paris , vol.236 , pp. 1467-1468
    • Humbert, P.1
  • 6
    • 0039885971 scopus 로고    scopus 로고
    • The mittag-leffler function in the riemann-liouville fractional calculus
    • Kilbas AA (ed.) Belarusian State University, Minsk, Belarus
    • Mainardi F, Gorenflo R (1996) The Mittag-Leffler function in the Riemann-Liouville Fractional Calculus, in: Kilbas AA (ed.), Boundary Value Problems, Special Functions and Fractional Calculus. Belarusian State University, Minsk, Belarus, pp. 215-225.
    • (1996) Boundary Value Problems, Special Functions and Fractional Calculus , pp. 215-225
    • Mainardi, F.1    Gorenflo, R.2
  • 11
    • 0005589811 scopus 로고
    • Harmonic analysis and boundary value problems in the complex domain
    • Birkhauser Verlag, Basel, Switzerland
    • Djrbashian MM (ed.) (1993) Harmonic analysis and boundary value problems in the complex domain, in: Operator Theory Advances and Applications, Vol. 65. Birkhauser Verlag, Basel, Switzerland.
    • (1993) Operator Theory Advances and Applications , vol.65
    • Djrbashian, M.M.1
  • 12
    • 28844508161 scopus 로고    scopus 로고
    • On zeros of functions of mittag-leffler type
    • Sedletskii AM (2000) On zeros of functions of Mittag-Leffler type, Math. Notes 68(5):602-613.
    • (2000) Math. Notes , vol.68 , Issue.5 , pp. 602-613
    • Sedletskii, A.M.1
  • 14
    • 0009450297 scopus 로고    scopus 로고
    • Fachbereich Mathematik und Informatik, A14/96, Freie Universitaet, Berlin
    • Gorenflo R, Mainardi F (1996) Fractional oscillations and Mittag-Leffler functions. Fachbereich Mathematik und Informatik, A14/96, Freie Universitaet, Berlin, pp. 1-22. Downloadable from http://www.math.fuberlin.de/publ/index.html
    • (1996) Fractional Oscillations and Mittag-Leffler Functions , pp. 1-22
    • Gorenflo, R.1    Mainardi, F.2
  • 16
    • 0036391769 scopus 로고    scopus 로고
    • The spectral values of a boundary value problem and the zeros of mittag-leffler functions
    • Popov AYu (2002) The spectral values of a boundary value problem and the zeros of Mittag-Leffler functions. Differential Equations 38(5):642-653.
    • (2002) Differential Equations , vol.38 , Issue.5 , pp. 642-653
    • Popov, A.Yu.1
  • 17
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: Integral and differential equations of fractional order
    • Carpenteri A, Mainardi R (eds.) Springer, Wien
    • Gorenflo R, Mainardi F (1997) Fractional calculus: integral and differential equations of fractional order. in: Carpenteri A, Mainardi R (eds.), Fractals and Fractional Calculus in Continuum Mechanics. Springer, Wien, pp. 223-276.
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 19
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    • Version 4, Wolfram Research, Champaign, IL
    • Mathematica Software System, Version 4, Wolfram Research, Champaign, IL.
    • Mathematica Software System


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.