Legendre relation for the hypergeometric function
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1: 15 Hypergeometric Function
Chapter 15 Hypergeometric Function
…2: 14 Legendre and Related Functions
Chapter 14 Legendre and Related Functions
…3: 14.3 Definitions and Hypergeometric Representations
§14.3 Definitions and Hypergeometric Representations
… ►§14.3(ii) Interval
… ►§14.3(iii) Alternative Hypergeometric Representations
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14.3.14
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4: 14.21 Definitions and Basic Properties
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§14.21(iii) Properties
…5: 15.9 Relations to Other Functions
6: 15.16 Products
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Generalized Legendre’s Relation
…7: Errata
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Chapters 14 Legendre and Related Functions, 15 Hypergeometric Function
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8: Software Index
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►‘✓’ indicates that a software package implements the functions in a section; ‘a’ indicates available functionality through optional or add-on packages; an empty space indicates no known support.
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►In the list below we identify four main sources of software for computing special functions.
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Commercial Software.
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►The following are web-based software repositories with significant holdings in the area of special functions.
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Open Source | With Book | Commercial | |||||||||||||||||||||||
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14 Legendre and Related Functions | |||||||||||||||||||||||||
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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.