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
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Finding zeros of a complex Airy function

Maybe something like this, with a bounded domain: ...
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  • 216k
6 votes
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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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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 ...
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5 votes
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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. ...
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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3 votes

Infinite Integral involving a Bessel function

If I am not mistaken, the result of ...
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  • 17.1k
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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3 votes
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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 ...
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2 votes
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Simplification of Elliptic integrals

I replaced all cos^2 with 1 - sin^2 to arrive at ...
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  • 2,534
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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1 vote
Accepted

Plotting a long and complex airy function

...
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  • 120k
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]...
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