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`besselnumba.py` and `invlapnumba.py` seem to be the cause of the low coverage at the moment:
```
---------- coverage: platform linux, python 3.11.10-final-0 ----------
Name …
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```
Some simplifications for the Bessel functions are missing.
An example:
cosine_transform(1/t*sin(a/t), t, w)
gives a huge, ugly result involving Bessel function I and J of small integer order.
T…
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I am using version 0.7.2 and have identified three problems involving the Bessel functions. These were found in association with trying to solve the ODE -y"/2+y/x=0
------------------------------…
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```
Bessel functions satisfy tons of identities. To get answers in reasonably nice form, a special simplification function is probably necessary.
Also bessel functions could use some more convenience…
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The names for these functions lack outside context and are very short - I propose renaming them in the following way:
| old name | new name |
|-----|-----|
| j0 | firstBesselOrder0 |
| j1 | firs…
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What is the reason why there are duplicate calls to bessel functions available?
For instance
```julia
besselj(nu,z)
besselj0(x)
besselj1(x)
```
Isnt that an implementation detail that the libra…
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**Issue by [ppernot](https://github.com/ppernot)**
_Monday Jun 27, 2016 at 15:11 GMT_
_Originally opened as https://github.com/stan-dev/stan/issues/1939_
----
#### Summary:
Extension of Bessel and…
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The following example demonstrates a situation in which SymPy cannot integrate `x^n jn(ell, x)` unless it is expressed in terms of `besselj()`:
#!/usr/bin/env python3
from sympy import *…
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Some ideas here:
Relevant Math Stackexchange post: https://math.stackexchange.com/questions/236010/integral-of-scaled-bessel-function-with-linear-phase
![Screen Shot 2022-03-22 at 12 03 42 PM](h…
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Spherical Hankel functions are not directly available in SciPy. However, spherical Bessel functions can be used to implement them. IMHO, it would be a nice extension of special functions.
def spher…