Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite Series 论文

1970SIAM Journal on Applied Mathematics引用 279
Mathematical and Theoretical AnalysisFractional Differential Equations SolutionsNumerical Methods and Algorithms

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Previous article Next article Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite SeriesThomas J. OslerThomas J. Oslerhttps://doi.org/10.1137/0118059PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. A. Bassam, Some properties of Holmgren-Riesz transform, Ann. Scuola Norm. Sup. Pisa (3), 15 (1961), 1–24 MR0130538 (24:A398) 0099.31402 Google Scholar[2] Arthur Erdélyi, , Wilhelm Magnus, , Fritz Oberhettinger and , Francesco G. Tricomi, Higher transcendental functions. Vol. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953xxvi+302 MR0058756 (15,419i) 0051.30303 Google Scholar[3] Arthur Erdélyi, , Wilhelm Magnus, , Fritz Oberhettinger and , Francesco G. Tricomi, Higher transcendental functions. Vol. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953xvii+396 MR0058756 (15,419i) 0052.29502 Google Scholar[4] Arthur Erdélyi, , Wilhelm Magnus, , Fritz Oberhettinger and , Francesco G. Tricomi, Higher transcendental functions. Vol. III, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1955xvii+292 MR0066496 (16,586c) 0064.06302 Google Scholar[5] A. Erdélyi, , W. Magnus, , F. Oberhettinger and , F. G. Tricomi, Tables of integral transforms. Vol. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954xx+391 MR0061695 (15,868a) 0055.36401 Google Scholar[6] A. Erdélyi, , W. Magnus, , F. Oberhettinger and , F. G. Tricomi, Tables of integral transforms. Vol. II, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954xvi+451 MR0065685 (16,468c) 0058.34103 Google Scholar[7] A. Erdélyi, An integral equation involving Legendre functions, J. Soc. Indust. Appl. Math., 12 (1964), 15–30 MR0164215 (29:1514) 0178.14401 LinkISIGoogle Scholar[8] A. Erdélyi, Axially symmetric potentials and fractional integration, J. Soc. Indust. Appl. Math., 13 (1965), 216–228 MR0179371 (31:3619) 0158.12504 LinkISIGoogle Scholar[9] Marvin C. Gaer and , Lee A. 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