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# Representation Formulas

Oftentimes, mathematical expressions are not in the desired form for the purpose of their application. Representations are alternate forms of functions or expressions that make them easier to understand or use. Common representations are those that involve integrals, limits, infinite products or sums, power series, or representations through special functions. Wolfram|Alpha can find alternate representations of a specified form for a given mathematical function.

Integral Representations

Find representations of mathematical functions and expressions as integrals.

Find integral representations for a function:

Find representations satisfying given conditions:

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Series Representations

Explore series representations of mathematical functions and expressions.

Find series representations for a function:

Find series representations for a number:

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Product Representations

Find product representations of a mathematical function or expression.

Find product representations for a function:

Find product representations for a constant:

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Limit Representations

Discover representations of functions and expressions as limits.

Find limit representations for a function:

Find limit representations for a constant:

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