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Mathematical functions and their approximations. (English) Zbl 0318.33001

New York - San Francisco - London: Academic Press Inc., a subsidiary of Harcourt Brace Jovanovich, Publishers. XVII, 568 p. $14.50 (1975).

MSC:

33-XX Special functions
41A10 Approximation by polynomials
33-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to special functions
41A20 Approximation by rational functions
41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.)

Digital Library of Mathematical Functions:

§10.75(i) Introduction ‣ §10.75 Tables ‣ Computation ‣ Chapter 10 Bessel Functions
§10.76(i) Introduction ‣ §10.76 Approximations ‣ Computation ‣ Chapter 10 Bessel Functions
Real Variable and Order : Functions ‣ §10.76(ii) Bessel Functions, Hankel Functions, and Modified Bessel Functions ‣ §10.76 Approximations ‣ Computation ‣ Chapter 10 Bessel Functions
Real Variable and Order : Integrals ‣ §10.76(ii) Bessel Functions, Hankel Functions, and Modified Bessel Functions ‣ §10.76 Approximations ‣ Computation ‣ Chapter 10 Bessel Functions
Complex Variable; Real Order ‣ §10.76(ii) Bessel Functions, Hankel Functions, and Modified Bessel Functions ‣ §10.76 Approximations ‣ Computation ‣ Chapter 10 Bessel Functions
Kelvin Functions ‣ §10.76(iii) Other Functions ‣ §10.76 Approximations ‣ Computation ‣ Chapter 10 Bessel Functions
1st item ‣ §11.15(i) Expansions in Chebyshev Series ‣ §11.15 Approximations ‣ Computation ‣ Chapter 11 Struve and Related Functions
Chapter 11 Struve and Related Functions
§16.10 Expansions in Series of F q p Functions ‣ Generalized Hypergeometric Functions ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.20 Integrals and Series ‣ Meijer G -Function ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.20 Integrals and Series ‣ Meijer G -Function ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.22 Asymptotic Expansions ‣ Meijer G -Function ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.26 Approximations ‣ Computation ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.2(iii) Case = p + q 1 ‣ §16.2 Definition and Analytic Properties ‣ Generalized Hypergeometric Functions ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.2(iv) Case > p + q 1 ‣ §16.2 Definition and Analytic Properties ‣ Generalized Hypergeometric Functions ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.3(i) Differentiation Formulas ‣ §16.3 Derivatives and Contiguous Functions ‣ Generalized Hypergeometric Functions ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§16.3(ii) Contiguous Functions ‣ §16.3 Derivatives and Contiguous Functions ‣ Generalized Hypergeometric Functions ‣ Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
Chapter 16 Generalized Hypergeometric Functions and Meijer G -Function
§4.47(iii) Padé Approximations ‣ §4.47 Approximations ‣ Computation ‣ Chapter 4 Elementary Functions
§4.47(i) Chebyshev-Series Expansions ‣ §4.47 Approximations ‣ Computation ‣ Chapter 4 Elementary Functions
§4.47(iv) Additional References ‣ §4.47 Approximations ‣ Computation ‣ Chapter 4 Elementary Functions
§5.22(i) Introduction ‣ §5.22 Tables ‣ Computation ‣ Chapter 5 Gamma Function
§5.23(iii) Approximations in the Complex Plane ‣ §5.23 Approximations ‣ Computation ‣ Chapter 5 Gamma Function
§5.23(ii) Expansions in Chebyshev Series ‣ §5.23 Approximations ‣ Computation ‣ Chapter 5 Gamma Function
§5.23(i) Rational Approximations ‣ §5.23 Approximations ‣ Computation ‣ Chapter 5 Gamma Function
§8.1 Special Notation ‣ Notation ‣ Chapter 8 Incomplete Gamma and Related Functions
§8.21(vi) Series Expansions ‣ §8.21 Generalized Sine and Cosine Integrals ‣ Related Functions ‣ Chapter 8 Incomplete Gamma and Related Functions
§8.25(i) Series Expansions ‣ §8.25 Methods of Computation ‣ Computation ‣ Chapter 8 Incomplete Gamma and Related Functions
2nd item ‣ §8.27(i) Incomplete Gamma Functions ‣ §8.27 Approximations ‣ Computation ‣ Chapter 8 Incomplete Gamma and Related Functions
1st item ‣ §8.27(ii) Generalized Exponential Integral ‣ §8.27 Approximations ‣ Computation ‣ Chapter 8 Incomplete Gamma and Related Functions
2nd item ‣ §8.27(ii) Generalized Exponential Integral ‣ §8.27 Approximations ‣ Computation ‣ Chapter 8 Incomplete Gamma and Related Functions