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FunctionAdvisor/integral_form - return the integral form of a given mathematical function
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Calling Sequence
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FunctionAdvisor(integral_form, math_function)
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Parameters
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integral_form
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literal name; 'integral_form'
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math_function
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Maple name of mathematical function
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Description
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The FunctionAdvisor(integral_form, math_function) command returns the integral form for the function, if it exists.
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Examples
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![[sin(z) = z*(Int(exp((2*I)*z*_t1), _t1 = 0 .. 1))/exp(I*z), MathematicalFunctions:-`with no restrictions on `(z)]](/support/helpjp/helpview.aspx?si=7471/file01731/math58.png)
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![[Beta(a, z) = Int(_k1^(a-1)*(1-_k1)^(z-1), _k1 = 0 .. 1), And(0 < Re(a), 0 < Re(z))]](/support/helpjp/helpview.aspx?si=7471/file01731/math65.png)
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* Partial match of "integral" against topic "integral_form".
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![[EllipticE(k) = Int((1-k^2*_alpha1^2)^(1/2)/(1-_alpha1^2)^(1/2), _alpha1 = 0 .. 1), MathematicalFunctions:-`with no restrictions on `(k)], [EllipticE(z, k) = Int((1-k^2*_alpha1^2)^(1/2)/(1-_alpha1^2)^(1/2), _alpha1 = 0 .. z), MathematicalFunctions:-`with no restrictions on `(k, z)]](/support/helpjp/helpview.aspx?si=7471/file01731/math82.png)
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* Partial match of "integral" against topic "integral_form".
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The variables used by the FunctionAdvisor command to create the function calling sequences are local variables. Therefore, the previous example does not depend on a or z.
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![depends([ex1], a), depends([ex1], z)](/support/helpjp/helpview.aspx?si=7471/file01731/math107.png)
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To make the FunctionAdvisor command return resulting using global variables, pass the function call itself.
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* Partial match of "calling" against topic "calling_sequence".
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* Partial match of "integral" against topic "integral_form".
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![ex2 := [EllipticF(a, z) = Int(1/((1-_alpha1^2)^(1/2)*(1-z^2*_alpha1^2)^(1/2)), _alpha1 = 0 .. a), MathematicalFunctions:-`with no restrictions on `(a, z)]](/support/helpjp/helpview.aspx?si=7471/file01731/math134.png)
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| (9) |
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Download Help Document
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