Special functions and application to physics

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Homework Help Overview

The discussion revolves around the application of special functions, specifically Hermite, Legendre, and Laguerre functions, in various branches of physics. Participants are exploring how these functions relate to solving differential equations in contexts such as Laplace's equation, the wave equation, and the heat equation.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to clarify the original poster's specific doubts regarding the applications of special functions in physics. Some are providing references to textbooks and resources that cover these functions and their applications.

Discussion Status

The discussion is ongoing, with participants offering resources and references that may help address the original poster's inquiry. There is a focus on sharing knowledge about the relevance of special functions in physics and engineering.

Contextual Notes

There is a lack of specific details from the original poster regarding their particular doubts, which may affect the direction of the discussion. Participants are responding to a general inquiry without a clear definition of the original poster's needs.

jaan
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can anyone help me in solving my doubt that what is the application of special functions and Hermite,Legenders,Laguerre function to the various branches of physics.
could u please specify any link or site address.
thank you :mad:
 
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I'm not sure what "doubt" you have! Hermite, Legendre, and Laguerre functions are all defined as solutions to certain differential equations that show when solving Laplace's equation (or the wave equation or the heat equation) in certain coordinate systems. What more do you want to know?
 
Check out Morse and Feshbach, Mthods of Theoretical Physics or N N Lebedev, Special Functions and Their Applications, all of the functions that you mentioned are in there with many examples of their application. One oif the best math coursees I took as an undergrad was a seminar in Special Functions, it cvome4s in handy fairly regularly.
 
the 2nd half of whittaker/watson's a course of modern analysis has lots of info on special functions. it includes sections on the gamma function, riemann zeta function, hypergeometric function, legendre functions, bessel functions, mathieu functions, elliptic functions, etc. the whole thing has practical application though. most of the stuff would apply to engineering & physics, not pure math.
 

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