An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
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| Autore: |
Truesdell Clifford
|
| Titolo: |
An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 / / Clifford Truesdell
|
| Pubblicazione: | Princeton, NJ : , : Princeton University Press, , [2016] |
| ©1949 | |
| Descrizione fisica: | 1 online resource (197 pages) : illustrations |
| Disciplina: | 517.5 |
| Soggetto topico: | Functional equations |
| Soggetto non controllato: | Addition |
| Antiderivative | |
| Asymptotic formula | |
| Bessel function | |
| Beta function | |
| Boundary value problem | |
| Change of variables | |
| Closed-form expression | |
| Coefficient | |
| Combination | |
| Continuous function | |
| Corollary | |
| Differential equation | |
| Enumeration | |
| Equation | |
| Existential quantification | |
| Explicit formula | |
| Exponential function | |
| Factorial | |
| Function (mathematics) | |
| Functional equation | |
| Hermite polynomials | |
| Hypergeometric function | |
| Integer | |
| Laguerre polynomials | |
| Laplace transform | |
| Legendre function | |
| Linear difference equation | |
| Linear differential equation | |
| Mathematical induction | |
| Mathematician | |
| Monomial | |
| Natural number | |
| Number theory | |
| Ordinary differential equation | |
| Parameter | |
| Periodic function | |
| Polygamma function | |
| Polynomial | |
| Potential theory | |
| Power series | |
| Rectangle | |
| Recurrence relation | |
| Remainder | |
| Scientific notation | |
| Sequent | |
| Simple function | |
| Singular solution | |
| Special case | |
| Special functions | |
| Summation | |
| Theorem | |
| Theory | |
| Uniqueness theorem | |
| Variable (mathematics) | |
| Without loss of generality | |
| Nota di bibliografia: | Bibliography. |
| Nota di contenuto: | PREFACE -- TABLE OF CONTENTS -- Chapter I. The Object and Plan of This Essay -- Chapter II. Reduction to The F-Equation -- Chapter III. Existence and Uniqueness Theorems -- Chapter IV. Methods of Treating Special Functions Based on The Uniqueness Theorem for The Condition F(z, αO) = ψ (z) -- Chapter V. Remarks on Solutions Such That F(z, αO) = ψ (z) -- Chapter VI. Conclusions and Unsolved Problems -- Appendix I. Special Functions -- Appendix II. Operators -- Appendix III. Examples of Equations of Type (3-4) Not Reducible to The F-Equation -- Bibliography |
| Sommario/riassunto: | The description for this book, An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18, will be forthcoming. |
| Titolo autorizzato: | An Essay Toward a Unified Theory of Special Functions. (AM-18), Volume 18 |
| ISBN: | 1-4008-8237-0 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910154746503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Annals of mathematics studies ; ; no. 18.