# Questions tagged [special-functions]

Questions on the special mathematical functions implemented in Mathematica.

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### Strange behavior of the Exponential Integral formula [closed]

I am trying to figure out why Mathematica is telling me a formula for the exponential integral doesn't converge, even though it gives me the very same integral by means of the function ExpIntegralE ...
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### I need formula of function that decrease no linearly from x to y [migrated]

I need a formula of function that decreases no linearly from x to y over a set of iteration for example -1+t*((-1)/Max), this formula decreases linearly from 2 to 0 where t=0,1,2,..., Max. can I make ...
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### Dynamic influenced by a countdown Clock ignores actions in second argument

I stripped a Dynamic down to its bare essentials. Dynamic doesn't execute any of the functions asked for in second argument. ...
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### Closed Form of Integration [duplicate]

I have tried this integral in Mathematica, Assuming[m > 0,Integrate[Cos[m k] Exp[ Cos[k]], {k, 0, 2 Pi}]] And Mathematica failed to perform this. Whereas if any ...
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### Integrate of HypergeometricPFQ gives the wrong result

Good morning, I computed the following integral using Integrate in version 12.2 and it gives the wrong result. Can you help me understand what I am doing wrong? Here is the integral: ...
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### Is there a general unifying formula for the Laplace transform of a general weibull density?

It seems that the Laplace transform of weibull density has different formulas for rational shape parameters, depending on the degree of the numerator/denominator https://idp.springer.com/authorize/...
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### Efficient/Fast Complex Airy function implementation on Mathematica (Ai and Ai')

Is there a speedier compiled version for an efficient implementation for the complex Airy function (Ai and Ai') on Mathematica?
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### Zeta zeros bug in Mathematica 12.0.0.0

In Mathematica 12.0.0.0 when I input one of these: Log[2/Im[ZetaZero]] Log[2/Im[ZetaZero]] Log[2/Im[ZetaZero]]//N Log[2/Im[ZetaZero]]//N ...
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### Using NSolve to get a solution for Bessel-related functions

I want to get a solution of a equation using NSolve. $BesselI[1,x]/(x*BesselI[0,x])=0.2$ So I plugged this equation to NSolve: ...
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### Elliptic Integral simplification

Integrate[Sqrt[(roh^2 - r^2)/(r^2 - rb^2)], {r, rb, roh}, Assumptions -> r > rb \[And] roh > rb \[And] roh > 1] Outputs to: ...
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### How to resolve problem during summation of functions?

I am trying to find out the output of this basic problem but getting an error. If anyone can resolve this will be helpful. ...
58 views

### New symbollicaly integral operator [closed]

I have an u=u(x,t) that is an unknown function. Suppose that the function u can be written as follows: ** ...(Eq. 1) ** In here, $\Psi(x)$ is an Nx1 known vector, and C is an NxN matrix. (N is an ...
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I begin with ...
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