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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
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| Berlin : , : Springer-Verlag, , [1991] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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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 |
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Gorenflo Rudolf
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| Berlin, Germany : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
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 |
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Gorenflo Rudolf
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| Berlin, Germany : , : Springer, , [2020] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Mittag-Leffler Functions, Related Topics and Applications [[electronic resource] /] / by Rudolf Gorenflo, Anatoly A. Kilbas, Francesco Mainardi, Sergei V. Rogosin
| Mittag-Leffler Functions, Related Topics and Applications [[electronic resource] /] / 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 |
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Gorenflo Rudolf
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| Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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