# Questions tagged [special-functions]

Questions on the special mathematical functions implemented in Mathematica.

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### When is a symbol a Symbol? Is there an easy mathematica function that tests if an object is a symbol something like SymbolQ?

Yes I know there is no built in function SymbolQ[...] (but JavaScript does) but could one be coded to work for most cases? I often rely on ...
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### Understanding Working Precision - two example equations

I am trying to understand how WorkingPrecision works, and in general how very small/large numbers are to be handled. Let me preface I probably do not have ...
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### Change the PolyLog branch cut in Wolfram Mathematica

The problem is to change the branch cut of PolyLog[2,z] function from the default half line z=1+x, x>0 to the new one ...
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### Using Convolve with functions that contain error functions, and iterative convolutions

I need to produce convolutions of convolutions to study some probability distributions. My starting distribution is the Rayleigh distribution, which I convolve with itself as: ...
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### Substitute gives me different result

I'm working with Legendre polynomials (& associated ones). When I do the following calculation: ...
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### Gamma and Pochhammer simplification

I want to perform some simplification on Gamma function and Pochhammer symbols. For example, ...
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### Jacobi elliptic function JacobiSN[z,1/2] should be equal to JacobiSN[z , -1/2], But MATHEMATICA shows different values, Why?

Jacobi elliptic function JacobiSN[z,1/2] should be equal to JacobiSN[z , -1/2] by their properties(NIST Handbook of Mathematical functions, SN[z,k]=SN[z,-k]). But in MATHEMATICA they are giving ...
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### Why is FindRoot throwing a “singular Jacobian” error when function has small values?

Running the code: FindRoot[PolyLog[2, -E^-(10 + Sqrt[1 + x^2])] == 10^-30, {x, 10}] Gives me the error: ...