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Mathematical functions and their approximations /
Mathematical Functions and Their Approximations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1975.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- CHAPTER III. ELEMENTARY FUNCTIONS3.1. Logarithmic Functions; 3.2. EXPONENTIAL FUNCTION; 3.3. Circular and Hyperbolic Functions; 3.4. Inverse Circular and Hyperbolic Functions; 3.5. Bibliographic and Numerical Data; CHAPTER IV. INCOMPLETE GAMMA FUNCTIONS; 4.1. Definitions and Series Expansions; 4.2. Differential Equations and DifferenceEquations; 4.3. PADE APPROXIMATIONS; 4.4. INEQUALITIES; 4.5. Notes on the Computation of the IncompleteGamma Function; 4.7. COSINE AND SINE INTEGRALS; 4.8. ERROR FUNCTIONS; 4.9. FRESNEL INTEGRALS; 4.10 BIBLIOGRAPHIC AND NUMERICAL DATA.
- CHAPTER V. THE GENERALIZED HYPERGEOMETRIC FUNCTION pFQAND THE G-FUNCTION5.1. Introduction; 5.2. The pFq; 5.3. The G-Function; 5.4. The Confluence Principle; 5.5. Multiplication Theorems; 5.6. INTEGRALS INVOLVING G-FUNCTIONS; 5.7. Differential Equations; 5.8. Series of G-Functions; 5.9. Asymptotic Expansions; 5.10. Expansions in Series of Generalized Jacobi, Generalized Laguerre and ChebyshevPolynomials; 5.11. Expansions in Series of Bessel Functions; 5.12. Polynomial and Rational Approximations.
- 5.13 Recurrence Formulas for Polynomials and Functions Occurring in Approximations to Generalized HypergeometricFunctions5.14. INEQUALITIES; CHAPTER VI. THE GAUSSIAN HYPERGEOMETRIC FUNCTION; 6.1. Introduction; 6.2. Elementary Properties; 6.3. Differential Equations; 6.4. Kummer Solutions and Transformation Formulae; 6.5. Analytic Continuation; 6.6. The Complete Solution and Wronskians; 6.7. Quadratic Transformations; 6.8. The 2F1 for Special Values of the Argument; 6.9. Expansion in Series of Chebyshev Polynomials; 6.10. PADE APPROXIMATIONS FOR 2F1 (1; o; P+1; -1/Z) 275; 6.11. Inequalities.
- 6.12. Bibliographic and Numerical DataCHAPTER VII. THE CONFLUENT HYPERGEOMETRIC FUNCTION; 7.1. Introduction; 7.2. Integral Representations; 7.3. Elementary Relations; 7.4. Differential Equations; 7.5. The Complete Solution and Wronskians; 7.6. Asymptotic Expansions; 7.7. Expansions in Series of Chebyshev Polynomials; 7.8. Expansions in Series of Bessel Functions; 7.9. Inequalities; 7.1 0. Other Notations and Related Functions; 7.11. Bibliographic and Numerical Data; CHAPTER VIII. IDENTIFICATION OF THE pFQ AND G-FONCTIONS WITH THE SPECIALFUNCTIONS; 8.1. Introduction.