Operator of fractional derivative in the complex plane

Communications in Mathematical Physics

Volumn 192, Issue 2, 1998, Pages 261-285

  Závada, Petr ^a  

^a INSTITUTE OF PHYSICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040041603     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050299     Document Type: Article

References (11)

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3. Gel'fand, I.M., Shilov, G.E.: Generalized Functions, Vol.1: Properties and Operations. New York: Academic Press, 1964
4. McBride, A.: Fractional Calculus and Integral Transforms of Generalized Functions. San Francisco: Pitman, 1979
5. Nishimoto, K.(ed.): Fractional Calculus and Applications. Proceedings of the 3rd Conference on Fractional Calculus, Tokyo 1989, Nihon Univ., Japan, 1990
6. Oldham, K., Spanier, J.: The Fractional Calculus: Theory and Applications of Differentiation to Arbitrary Order. New York, Academic Press, 1974
7. Prudnikov, A.P., Brychkov, Yu.A., Marichev, O.I.: Integrals and Series, Vol. 1. London-New York: Gordon and Breach, 1986
8. Samko, S.G., Kilbas, A.A., Marichev O.I.: Fractional Integrals and Derivatives: Theory and Application. London-New York: Gordon and Breach, 1993
9. Shogenov, V.Kh., Shchanukov-Lafishev, M.Kh. and Beshtoev, Kh.M.: Communication of the JINR Dubna, 1997, P4-97-81 (in russian)
10. Woon, S.C.: Analytic Continuation of Operators. Applications: from Number Theory and Group Theory to Quantum Field and String Theories. Preprint DAMTP-R-97/33, e-print hep-th/9707206
11. Zaganescu, M.: Some applications of fractional integration and differentiation in quantum mechanics and field theory. Preprint U.T.F.T. 5/82, Univ. Timisoara, 1982