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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.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
| 005 | 20231120111750.0 | ||
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| 008 | 141003s1975 nyu ob 001 0 eng d | ||
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| 100 | 1 | |a Luke, Yudell L. | |
| 245 | 1 | 0 | |a Mathematical functions and their approximations / |c Yudell L. Luke. |
| 264 | 1 | |a New York : |b Academic Press, |c 1975. | |
| 300 | |a 1 online resource (xvii, 568 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 500 | |a An updated version of part of Handbook of mathematical functions with formulas, graphs, and mathematical tables, edited by M. Abramowitz and I.A. Stegun. | ||
| 504 | |a Includes bibliographical references (pages 517-544). | ||
| 500 | |a Includes indexes. | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2011. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2011 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 8 | |6 880-01 |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a Mathematical Functions and Their Approximations. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Mathematics |v Tables. | |
| 650 | 6 | |a Fonctions (Math�ematiques) |0 (CaQQLa)201-0003663 |x Tables. | |
| 650 | 6 | |a Math�ematiques |0 (CaQQLa)201-0068291 |x Tables. | |
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| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Mathematics |2 fast |0 (OCoLC)fst01012163 | |
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| 700 | 1 | |a Abramowitz, Milton, |d 1915-1958. |t Handbook of mathematical functions with formulas, graphs, and mathematical tables. | |
| 776 | 0 | 8 | |i Print version: |a Luke, Yudell L. |t Mathematical functions and their approximations |z 0124599508 |w (DLC) 75022358 |w (OCoLC)1551377 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780124599505 |z Texto completo |
| 880 | 0 | |6 505-01/(S |a Front Cover; Mathematical Functions andtheir Approximations; Copyright Page; Dedication; Table of Contens; PREFACE; CHAPTER I. THE GAMMA FUNCTION AND RELATED FUNCTIONS; 1.1. Definitions and Elementary Properties; 1 . 2 . Power Series and OtherSeries Expansions; 1.3. ASYMPTOTIC EXPANSIONS; 1.4. RATIONAL APPROXIMATIONS FOR ψ(z); 1.5. INEQUALITIES; 1.6. Bibliographic and Numerical Data; CHAPTER II. THE BINOMIAL FUNCTION; 2.1. Power Series; 2.2. Expansions in Series of Jacobi and Chebyshev Polynomials; 2.3. Expansions in Series of Bessel Functions; 2.4. Pad�e Approximations; 2.5. INEQUALITIES. | |