BesselK[1,2]N[BesselK[1,2]]
BesselK[1,2] // NBesselK[1., 2]
BesselK[1, 2.]
BesselK[1., 2.]CompuChip said:Did you try the N function?
Code:N[BesselK[1,2]] BesselK[1,2] // N
In general, Mathematica only "evaluates" such functions for special arguments for which it knows exact values. In all other cases, it leaves the answer exact. You can force it to give a decimal representation using
N[expr]
or
N[expr, # of decimals]
Another way that often works is to give the arguments as floating numbers rather than exact values:
Code:BesselK[1., 2] BesselK[1, 2.] BesselK[1., 2.]
Hepth said:try again, the N method is correct.
In[30]:= N[BesselK[1, 2]]
Out[30]= 0.139866
make sure its not misspelled.
A Bessel function is a special type of mathematical function that is used to solve certain types of differential equations. It is named after the mathematician Friedrich Bessel and is commonly denoted by the symbol Jn, where n is a positive integer.
The Bessel function evaluation problem in Mathematica refers to the challenge of accurately computing the values of Bessel functions at different points. Since Bessel functions involve complex numbers and infinite series, it can be difficult to calculate their values without encountering issues such as numerical instability or round-off errors.
Mathematica uses a combination of algorithms and special functions to handle Bessel function evaluation. These include the built-in functions BesselJ, BesselY, BesselI, and BesselK, as well as various numerical methods such as series expansions, asymptotic approximations, and continued fractions.
Yes, the Bessel function evaluation problem can be solved analytically for some specific values of n and for certain types of Bessel functions. However, for most cases, an analytical solution is not possible and numerical methods must be used.
Yes, there are a few things to keep in mind when using Mathematica for Bessel function evaluation. One is that the precision of the results can vary depending on the input values and the chosen algorithm. It is also important to check for convergence and accuracy, especially when dealing with large or complex numbers. Additionally, if using symbolic inputs, Mathematica may return exact values instead of numerical approximations, which may not be desirable in some cases.