# Questions tagged [special-functions]

Questions on the special mathematical functions implemented in Mathematica.

1,461 questions
Filter by
Sorted by
Tagged with
52 views

### Integration involving Piecewise function and DiracDelta function

I want to calculate an integration, which reads where $\delta\left(q_{23}^{01}\right)=\delta\left(1+q_1-q_2-q_3\right)$ and $\mathrm{min}(1,q_1,q_2,q_3)$ means the minimum of $(1,q_1,q_2,q_3)$. What ...
• 391
136 views

### Issue in HypergeometricPFQ function:

I have a solution from integral: A = Integrate[x^n*(1 + x)^n*Exp[-n*x^2] /. n -> 1, {x, 0, Infinity}] //Expand (*1/2 + Sqrt[π]/4*) %//N (*0.943113*) Then I ...
• 14.4k
1 vote
61 views

### Mathematica can't handle expressions with Bessel functions in the limit of a large argument [duplicate]

Consider the following function: ...
• 5,863
91 views

### Question about SystemMeijerGDump*

Steps Start a fresh kernel, then copy the below sentence, run it. ...
• 1,541
116 views

### How to transform this combination of $_2F_1$?

Following my previous question How to transform this MeijerG $G_{3,3}^{2,3}$ into a hypergeometric function $_2F_1$, I transformed a MeijerG function $G_{3,3}^{2,3}$ below into a combination of ...
• 859
35 views

• 111
168 views

### Calculation time too long for FoxH

Clear["Global*"]; FoxH[{{}, {}}, {{{0, 0.5}, {-3, 1}}, {}}, 0.2] Related: No result from FoxH
• 1,541
118 views

• 1,001
109 views

1 vote
95 views

### Differentiation of Parabolic Cylinder Functions and Hermite Polynomials w.r.t to Order

When I evaluated (ver. 12.3) parabolic functions below in the vanishing order limit: $u \rightarrow 0$, I got the following: ...
• 400
73 views

### Abnormally long computation time using AppellF1 function

I am trying to use the AppellF1 function in Mathematica 13.3.1 on an Ubuntu machine with an i7 13700. The inbuilt function seems to be much slower in some cases ...
• 66
119 views

### What is the exact formula Mathematica uses for Riemann zeta function? [closed]

I'm trying to find the formula of the zeta function used to plot this graph: This is taken from Wikipedia Riemann Zeta Function. It was created in Mathematica by ...
• 121
63 views

73 views

• 47
75 views

### PrimeZetaP evaluation in different versions of Mathematica

PrimeZetaP was introduced in version 7.0. I suspect there were made some changes in the definition of this function in subsequent versions. Is there any user that ...
• 19.7k
1 vote
138 views

### What formula does Mathematica use for PolyGamma function of complex order?

For instance, PolyGamma function in Mathematica gives different values than the similar Psi function in Maple, which uses the ...
• 3,610