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1: 8.19 Generalized Exponential Integral
§8.19 Generalized Exponential Integral
… ►§8.19(ii) Graphics
… ►§8.19(ix) Inequalities
… ►§8.19(x) Integrals
… ►§8.19(xi) Further Generalizations
…2: 16.2 Definition and Analytic Properties
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§16.2(i) Generalized Hypergeometric Series
… ► … ►Polynomials
… ►Note also that any partial sum of the generalized hypergeometric series can be represented as a generalized hypergeometric function via … ►§16.2(v) Behavior with Respect to Parameters
…3: 8.21 Generalized Sine and Cosine Integrals
§8.21 Generalized Sine and Cosine Integrals
►§8.21(i) Definitions: General Values
… ►§8.21(iv) Interrelations
… ►§8.21(v) Special Values
… ►4: 1.16 Distributions
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is called a distribution, or generalized function, if it is a continuous linear functional on , that is, it is a linear functional and for every in ,
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►More generally, for a nondecreasing function the corresponding Lebesgue–Stieltjes measure (see §1.4(v)) can be considered as a distribution:
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►More generally, if is an infinitely differentiable function, then
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►Friedman (1990) gives an overview of generalized functions and their relation to distributions.
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5: 35.8 Generalized Hypergeometric Functions of Matrix Argument
§35.8 Generalized Hypergeometric Functions of Matrix Argument
►§35.8(i) Definition
… ►Convergence Properties
… ►§35.8(iv) General Properties
… ►Confluence
…6: 19.2 Definitions
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§19.2(i) General Elliptic Integrals
…7: Software Index
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Commercial Software.
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Open Source | With Book | Commercial | |||||||||||||||||||||||
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4.48(iii) General Precision | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | a | REDUCE | |||||||||||||||
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16 Generalized Hypergeometric Functions & Meijer G-Function | |||||||||||||||||||||||||
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Such software ranges from a collection of reusable software parts (e.g., a library) to fully functional interactive computing environments with an associated computing language. Such software is usually professionally developed, tested, and maintained to high standards. It is available for purchase, often with accompanying updates and consulting support.
8: Bibliography S
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General relativity and quantum mechanics: towards a generalization of the Lambert function: a generalization of the Lambert function.
Appl. Algebra Engrg. Comm. Comput. 17 (1), pp. 41–47.
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Operators with Singular Continuous Spectrum: I. General Operators.
Annals of Mathematics 141 (1), pp. 131–145.
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Generalized Hypergeometric Functions.
Cambridge University Press, Cambridge.
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Computation of angular momentum coefficients using sets of generalized hypergeometric functions.
Comput. Phys. Comm. 22 (2-3), pp. 297–302.
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Numerical Methods Based on Sinc and Analytic Functions.
Springer Series in Computational Mathematics, Vol. 20, Springer-Verlag, New York.
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9: Browsers
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