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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions >Hypergeometric2F1[a,b,c,z]





Series representations

Generalized power series

Expansions at generic point z==z0

For the function itself

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Expansions on branch cuts

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Expansions at z==0

For the function itself

General case

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Generic formulas for main term

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Expansions at z==1

For the function itself

General case

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Logarithmic cases

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Generic formulas for main term

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Expansions at z==infinity

For the function itself

The general formulas

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Case of simple poles

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Case of double poles

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Case of canceled double poles

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Generic formulas for main term

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Expansions at z==infinity for polynomial cases

For the function itself

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Residue representations

General case

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Logarithmic cases

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