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Abel integral equations : analysis and applications / / Rudolf Gorenflo, Sergio Vessella
Abel integral equations : analysis and applications / / Rudolf Gorenflo, Sergio Vessella
Autore Gorenflo Rudolf
Edizione [1st ed. 1991.]
Pubbl/distr/stampa Berlin : , : Springer-Verlag, , [1991]
Descrizione fisica 1 online resource (X, 222 p.)
Disciplina 515.45
Collana Lecture notes in mathematics
Soggetto topico Abel integral equations
ISBN 3-540-46949-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Basic theory and representation formulas -- Applications of Abel's original integral equation: Determination of potentials -- Applications of a transformed abel integral equation -- Smoothing properties of the abel operators -- Existence and uniqueness theorems -- Relations between abel transform and other integral transforms -- Nonlinear abel integral equations of second kind -- Illposedness and stabilization of linear abel integral equations of first kind -- On numerical treatment of first kind abel integral equations.
Record Nr. UNISA-996466587403316
Gorenflo Rudolf  
Berlin : , : Springer-Verlag, , [1991]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Mittag-Leffler functions, related topics and applications / / Rudolf Gorenflo [and three others]
Mittag-Leffler functions, related topics and applications / / Rudolf Gorenflo [and three others]
Autore Gorenflo Rudolf
Edizione [2nd ed. 2020.]
Pubbl/distr/stampa Berlin, Germany : , : Springer, , [2020]
Descrizione fisica 1 online resource (XVI, 540 p. 22 illus., 11 illus. in color.)
Disciplina 515.75
Collana Springer Monographs in Mathematics
Soggetto topico Mathematical physics
Functions, Special
Mathematical Modeling and Industrial Mathematics
ISBN 3-662-61550-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Introduction -- Overview on the Mittag-Leffler funtion -- Classical Mittag-Laffler function -- Two-parametric Mittag-Leffler functions with three parameters -- Multi-index and multi-variable Mittag-Leffler functions. - The Classical Wright function. - Applications to solution of fractional order equations. - Applications to deterministic models -- Applications to stochastic models. - Appendix A. The Eulerian functions -- Appendix B. Basic of Entire Functions -- Appendix C. Integral transforms -- Appendix D. Mellin-Barnes integral. - Appendix E. Elements of Fractional Calculus -- Appendix F. Higher transcendental functions -- References -- Index.
Record Nr. UNISA-996418196603316
Gorenflo Rudolf  
Berlin, Germany : , : Springer, , [2020]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Mittag-Leffler functions, related topics and applications / / Rudolf Gorenflo [and three others]
Mittag-Leffler functions, related topics and applications / / Rudolf Gorenflo [and three others]
Autore Gorenflo Rudolf
Edizione [2nd ed. 2020.]
Pubbl/distr/stampa Berlin, Germany : , : Springer, , [2020]
Descrizione fisica 1 online resource (XVI, 540 p. 22 illus., 11 illus. in color.)
Disciplina 515.75
Collana Springer Monographs in Mathematics
Soggetto topico Mathematical physics
Functions, Special
Mathematical Modeling and Industrial Mathematics
ISBN 3-662-61550-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Introduction -- Overview on the Mittag-Leffler funtion -- Classical Mittag-Laffler function -- Two-parametric Mittag-Leffler functions with three parameters -- Multi-index and multi-variable Mittag-Leffler functions. - The Classical Wright function. - Applications to solution of fractional order equations. - Applications to deterministic models -- Applications to stochastic models. - Appendix A. The Eulerian functions -- Appendix B. Basic of Entire Functions -- Appendix C. Integral transforms -- Appendix D. Mellin-Barnes integral. - Appendix E. Elements of Fractional Calculus -- Appendix F. Higher transcendental functions -- References -- Index.
Record Nr. UNINA-9910484220903321
Gorenflo Rudolf  
Berlin, Germany : , : Springer, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mittag-Leffler Functions, Related Topics and Applications / / by Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
Mittag-Leffler Functions, Related Topics and Applications / / by Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
Autore Gorenflo Rudolf
Edizione [1st ed. 2014.]
Pubbl/distr/stampa Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014
Descrizione fisica 1 online resource (454 p.)
Disciplina 515.83
Collana Springer Monographs in Mathematics
Soggetto topico Special functions
Mathematical physics
Mathematical models
Integral equations
Probabilities
Special Functions
Mathematical Applications in the Physical Sciences
Mathematical Modeling and Industrial Mathematics
Integral Equations
Probability Theory and Stochastic Processes
ISBN 3-662-43930-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface -- Introduction -- 1.History of Mittag-Leffler functions -- 2.Classical Mittag-Leffler function -- 3.Mittag-Leffler functions with two or three parameters -- 4.Generalized Mittag-Leffler functions -- 5.Mittag-Leffler functions and solution to fractional order equations -- 6.Applications to deterministic models -- 7.Applications to stochastic models -- Appendices -- A. Euler Gamma and Beta-functions -- B. Entire functions -- C. Integral transforms -- D. Mellin-Barnes integral -- E. Elements of fractional calculus -- F. Higher transcendental functions -- References.
Record Nr. UNINA-9910299992403321
Gorenflo Rudolf  
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui