Aleen Muhammed said:
phyzguy said:
drvrm said:well , do you wish to solve Bessel's equation or use Bessel's function as solution of your PDE.-we do not know!
I remember i used to consult a book on special function by Abramowitch and stegun ,which was a compendium on special functions. for an intro you can also.consult wikipedia
ref;
1. Abramowitz, M. and Stegun, I. A. (Eds.). "Bessel Functionsand http://mathworld.wolfram.com/images/equations/BesselFunctionoftheSecondKind/Inline49.gif." §9.1 in [I][URL='']Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.[/URL][/I] New York: Dover, pp. 358-364, 1972.
2. [URL]http://mathworld.wolfram.com/BesselFunctionoftheSecondKind.html[/URL]
But G.N. watson 's book on it is very good for theory part
3. Watson, G. N. [I][URL='']A Treatise on the Theory of Bessel Functions, 2nd ed.[/URL][/I] Cambridge, England: Cambridge University Press, 1966.[/QUOTE]I want solve Bessel's equation and use Bessel's function ، How can I get books proposed by please, I do not buy it because it is not available in my country
Both Abramowitz & Stegun and the book by G.N. Watson are available on the internet. All you have to do is Google them.Aleen Muhammed said:
SteamKing said:
You don't have to buy these books if you don't want to.Aleen Muhammed said:
SteamKing said:
A derivative Bessel function is a mathematical function that is used to solve certain differential equations. It is closely related to the Bessel function, which is a special type of mathematical function that is commonly encountered in physics and engineering problems.
Type II and Type III derivative Bessel functions are two different types of Bessel functions that have different mathematical properties. Type II derivative Bessel functions are defined as the derivative of the Type II Bessel function, while Type III derivative Bessel functions are defined as the derivative of the Type III Bessel function. These two types of functions have different formulas and properties, and are used for different purposes.
Derivative Bessel functions are used in various fields of science, including physics, engineering, and mathematics. They are commonly used to solve differential equations that arise in physical and engineering problems, such as in the study of heat transfer, diffusion, and wave propagation. They are also used in signal processing and in the analysis of data in statistics and probability.
Derivative Bessel functions have several important properties that make them useful in scientific research. These include their orthogonality, which allows them to be used in the decomposition of functions into simpler components, and their recurrence relations, which enable the efficient computation of their values. They also have asymptotic properties that are useful in approximating their values for large and small arguments.
There are various resources available to help you solve derivative Bessel functions, including textbooks, online tutorials, and mathematical software packages. You can also consult with other scientists or mathematicians who have experience in using these functions. It is important to carefully review and understand the properties and formulas of derivative Bessel functions before attempting to solve them.