7
votes
How to use FindRoot to solve Hypergeometric1F1 imaginary number solution？
If you restrict the domain, then NSolve can find solutions:
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- 124k
6
votes
Accepted
6
votes
Accepted
How to use FindRoot to solve Hypergeometric1F1 imaginary number solution？
There are countably infinitely many zeros of your $f(x)$, which we can enumerate as follows.
For small $x$, your function is approximated by $e^{1/x} x \sinh(1/x)$:
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- 36.2k
5
votes
Mathematica giving wrong answer for limit of LerchPhi[]
Specifying that k is a positive integer can be done with Assumptions->And[Element[k,Integers],k>0] but that alone does not ...
- 478
5
votes
Accepted
Infinite Integral involving a Bessel function
Not a stand-alone response, just a follow-up to the response by @user64494 that already settles the issue. We'll do an exact integration here.
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4
votes
how to get the best Best Fit Parameters of a special-function nonlinear fitting and how to find a good starting value?
If one fits the model using the restrictions you believe are true, the estimated standard errors are huge and the parameter estimators are almost perfectly negatively correlated.
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- 34.1k
3
votes
3
votes
Series Expansion of EllipticNomeQ differs from older Mathematica Version
EDIT: For revised question:
With v13.0.1 or 12.0.0 I get the same result as shown below. I don't have access to earlier versions.
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- 120k
3
votes
Accepted
How to handle very numbers that are "too small to represent as a normalized machine number"?
Apart from the replacement of 0.5 with 1/2 that was already suggested in the comments, note that when you are computing things ...
2
votes
Accepted
2
votes
Finding the roots of Abs[Hypergeometric1F1[1/4 (3 - (2 x)/I), 1.5, I]]=0
Your function is very similar, and asymptotically equal, to $g(x)=\frac{e^{i/2} \sin \sqrt{2x}}{\sqrt{2x}}$:
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- 36.2k
1
vote
Accepted
1
vote
Integral of orthogonal Bessel functions
This is really a mathematics question rather than a Mathematica question, but from Abramowitz and Stegun section 11.4 we have
$\int_a^b t C\left[\nu ,\lambda _m t\right] C\left[\nu ,\lambda _n t\right]...
- 7,419
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