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Some operational properties of the H-R operator. (English) Zbl 0282.26006

MSC:

26A33 Fractional derivatives and integrals
34A30 Linear ordinary differential equations and systems
34A99 General theory for ordinary differential equations
47E05 General theory of ordinary differential operators
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References:

[1] M.A. Al-Bassam : Some properties of Holmgren-Rtesz transform , Annali della Scuola Normale Superiore di Pisa, Scienze Fisiche e Matematiche - Serie III . Vol. XV . Fasc. I . II ( 1961 ), pp. 1 - 24 . Numdam | MR 130538 | Zbl 0099.31402 · Zbl 0099.31402
[2] M.A. Al-Bassam : On functional representation by a certain type of generalized power series , Annali della Scuola Normale Superiore di Pisa, Scienze Fisiche e Matematiche - Serie III . Vol. XVI . Fasc. IV ( 1962 ), pp. 351 - 366 . Numdam | MR 151751 | Zbl 0116.04901 · Zbl 0116.04901
[3] G.H. Hardy : Some properties of integral of fractional order , Messenger of Mathematics , Vol. 47 , ( 1913 ), pp. 145 - 150 . JFM 46.0408.01 · JFM 46.0408.01
[4] G.H. Hardy and J.E. Littlewood : Some properties of fractional integrals , Mathematische Zoitschrift , Vol. XXVII , ( 1927 ), pp. 565 - 606 . JFM 54.0275.05 · JFM 54.0275.05
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