{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T22:16:09Z","timestamp":1725488169236},"publisher-location":"Dordrecht","reference-count":11,"publisher":"Springer Netherlands","isbn-type":[{"type":"print","value":"9781402060410"},{"type":"electronic","value":"9781402060427"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2007]]},"DOI":"10.1007\/978-1-4020-6042-7_7","type":"book-chapter","created":{"date-parts":[[2007,7,27]],"date-time":"2007-07-27T19:02:30Z","timestamp":1185562950000},"page":"93-112","source":"Crossref","is-referenced-by-count":0,"title":["Riesz Potentials as Centred Derivatives"],"prefix":"10.1007","author":[{"given":"Manuel Duarte","family":"Ortigueira","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"7_CR1_7","unstructured":"Ortigueira, MD, (2005) Fractional Differences Integral Representation and its Use to Define Fractional Derivatives, In: Proceedings of the ENOC-2005, Fifth EUROMECH Nonlinear Dynamics Conference, Eindhoven University of Technology, The Netherlands, August, 7-12."},{"key":"7_CR2_7","unstructured":"Ortigueira MD, Coito F (2004) From Differences to Differintegrations, Fract. Calc. Appl. Anal. 7(4)."},{"key":"7_CR3_7","doi-asserted-by":"crossref","unstructured":"Ortigueira MD (2006) A coherent approach to non integer order derivatives, Signal Processing, special issue on Fractional Calculus and Applications.","DOI":"10.1016\/j.sigpro.2006.02.002"},{"key":"7_CR4_7","doi-asserted-by":"crossref","unstructured":"Diaz IB, Osler TI (1974) Differences of fractional order, Math. Comput. 28 (125).","DOI":"10.2307\/2005825"},{"key":"7_CR5_7","unstructured":"Ortigueira MD (2006) Fractional Centred Differences and Derivatives, to be presented at the IFAC FDA Workshop to be held at Porto, Portugal, 19-21 July, 2006."},{"key":"7_CR6_7","unstructured":"Ortigueira MD (2005) Riesz potentials via centred derivatives submitted for publication in the Int. J. Math. Math. Sci. December 2005."},{"key":"7_CR7_7","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1017\/S0305004100039554","volume":"62","author":"GO Okikiolu","year":"1966","unstructured":"Okikiolu GO (1966) Fourier Transforms of the operator H\u03b1, Proceedings of Cambridge Philosophy Society 62, 73-78.","journal-title":"Proceedings of Cambridge Philosophy Society"},{"key":"7_CR8_7","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9781107325937","volume-title":"Special Functions","author":"GE Andrews","year":"1999","unstructured":"Andrews GE, Askey R, Roy R (1999) Special Functions, Cambridge University Press, Cambridge."},{"key":"7_CR9_7","unstructured":"Henrici P (1974) Applied and Computational Complex Analysis, Vol. 1. Wiley, pp. 270-271."},{"key":"7_CR10_7","volume-title":"Fractional Integrals and Derivatives - Theory and Applications","author":"SG Samko","year":"1987","unstructured":"Samko SG, Kilbas AA, Marichev OI (1987) Fractional Integrals and Derivatives - Theory and Applications. Gordon and Breach Science, New York."},{"key":"7_CR11_7","unstructured":"Ortigueira MD (2000) Introduction to Fractional Signal Processing. Part 2: Discrete-Time Systems, In: IEE Proceedings on Vision, Image and Signal Processing, No.1, February 2000, pp. 71-78."}],"container-title":["Advances in Fractional Calculus"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4020-6042-7_7.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,29]],"date-time":"2021-04-29T04:58:11Z","timestamp":1619672291000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-1-4020-6042-7_7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"ISBN":["9781402060410","9781402060427"],"references-count":11,"URL":"https:\/\/doi.org\/10.1007\/978-1-4020-6042-7_7","relation":{},"subject":[],"published":{"date-parts":[[2007]]}}}