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Find all formulas that are transformations of the inverse cosine function and contain square
roots. Results will be ordered so identities with a minimal number of functions in
addition to Sqrt and ArcCos appear first. |
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Find all formulas that contain the constants Pi and E, and are continued fraction expansions. |
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Find all series expansions of any of the six trigonometric functions that do not contain Infinity. |
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Find limit representations of the Dirac delta function. |
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Find the singularities of the twelve Jacobi elliptic functions. |
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Find the position and type of the branch points of the six inverse hyperbolic functions. |
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Find all integrals that contain powers of cos and sin under the integrand and that can
be expressed using only elementary functions. |
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Find all formulas that contain the number 1728. |
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Find all special cases of hypergeometric functions that mathematically match the pattern
2F2[a, a + 1; 1 - a , b - 1; z]. |
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Find all formulas that contain derivatives of incomplete elliptic integrals. |
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Find inequalities for the divisor sigma function. |
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Find all formulas that contain any hypergeometric function and the error function. |
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Find all integral representations of the four Airy functions. |
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Find infinite product representations of the twelve Jacobi functions. |
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Find all series-type formulas that have Log[Log[...]] constructs within them. |
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Find functional equations of the dilogarithm function. |
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Find all series expansions of the hypergeometric function 3F2. |
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Find all special values of Cosine for numeric arguments. |
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Find addition-type formulas for the cosine function. |
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Find all formulas that contain Log[Exp[...]]. |
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