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Volumn 2014, Issue 1, 2014, Pages

The extended Mittag-Leffler function and its properties

Author keywords

Extended Beta functions; Fractional derivative; Laguerre polynomials; Mellin transform; Mittag Leffler; Whittaker functions; Wright generalized hypergeometric functions

Indexed keywords


EID: 84899746242     PISSN: 10255834     EISSN: 1029242X     Source Type: Journal    
DOI: 10.1186/1029-242X-2014-85     Document Type: Article
Times cited : (56)

References (19)
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    • Mittag-Leffler, GM: Une generalisation de l'integrale de Laplace-Abel. C. R. Acad. Sci., Ser. II 137, 537-539 (1903)
    • (1903) C. R. Acad. Sci., Ser. II , vol.137 , pp. 537-539
    • Mittag-Leffler, G.M.1
  • 6
    • 0000765371 scopus 로고
    • Sur la nouvelle fonction E?(x)
    • Mittag-Leffler, GM: Sur la nouvelle fonction E?(x). C. R. Acad. Sci. 137, 554-558 (1903)
    • (1903) C. R. Acad. Sci. , vol.137 , pp. 554-558
    • Mittag-Leffler, G.M.1
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    • 19044384354 scopus 로고
    • Sur la representation analytique d'une fonction monogene (cinquieme note)
    • Mittag-Leffler, GM: Sur la representation analytique d'une fonction monogene (cinquieme note). Acta Math. 29(1), 101-181 (1905)
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    • Mittag-Leffler, G.M.1
  • 8
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    • (1905) Acta Math. , vol.29 , pp. 191-201
    • Wiman, A.1
  • 9
    • 0039293970 scopus 로고
    • Uber die Nullstellen der Funktionen E?(x)
    • Wiman, A: Uber die Nullstellen der Funktionen E?(x). Acta Math. 29, 217-234 (1905)
    • (1905) Acta Math. , vol.29 , pp. 217-234
    • Wiman, A.1
  • 11
    • 0039293981 scopus 로고
    • Sur la fonction de Mittag-Leffler et quelques unes de ses generalizations
    • Humbert, P, Agarwal, RP: Sur la fonction de Mittag-Leffler et quelques unes de ses generalizations. Bull. Sci. Math., Ser. II 77, 180-185 (1953)
    • (1953) Bull. Sci. Math., Ser. II , vol.77 , pp. 180-185
    • Humbert, P.1    Agarwal, R.P.2
  • 12
    • 0842337110 scopus 로고
    • A singular integral equation with a generalized Mittag-Leffler function in the kernel
    • Prabhakar, TR: A singular integral equation with a generalized Mittag-Leffler function in the kernel. Yokohama Math. J. 19, 7-15 (1971)
    • (1971) Yokohama Math. J. , vol.19 , pp. 7-15
    • Prabhakar, T.R.1
  • 13
    • 84873358341 scopus 로고    scopus 로고
    • Some properties of the Mittag-Leffler functions and their relation with the Wright function
    • Kurulay, M, Bayram, M: Some properties of the Mittag-Leffler functions and their relation with the Wright function. Adv. Differ. Equ. 2012, 178 (2012)
    • (2012) Adv. Differ. Equ. , vol.2012 , pp. 178
    • Kurulay, M.1    Bayram, M.2
  • 18
    • 77956009547 scopus 로고    scopus 로고
    • Some generating relations for extended hypergeometric functions via generalized fractional derivative operator
    • Ozarslan, MA, Ozergin, E: Some generating relations for extended hypergeometric functions via generalized fractional derivative operator. Math. Comput. Model. 52, 1825-1833 (2010)
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  • 19
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    • Some remarks on extended hypergeometric, extended confluent hypergeometric and extended Appell's functions
    • Ozarslan, MA: Some remarks on extended hypergeometric, extended confluent hypergeometric and extended Appell's functions. J. Comput. Anal. Appl. 14(6), 1148-1153 (2012)
    • (2012) J. Comput. Anal. Appl. , vol.14 , Issue.6 , pp. 1148-1153
    • Ozarslan, M.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.