The discussion revolves around the significance of the constant m in the Hermite differential equation, specifically in the context of its role in determining the nature of solutions, including the Hermite polynomials. Participants seek clarification on the appropriate values for m and its implications.
Participants express uncertainty regarding the exact nature and values of m, with some proposing that it should be a nonnegative integer while others focus on specific cases that yield polynomial solutions. No consensus is reached on a definitive answer.
The discussion includes varying interpretations of m's significance and its values, with references to external sources for further clarification. The implications of m on the solutions of the Hermite differential equation remain partially unresolved.
Mrinmoy Naskar said:y" - 2xy' + ny = 0 this is well known hermite diff eqn. now can anyone tell me what kind of conts is m?? what is the suitable value of m??
sorry for the confusion.. I made the correction in my qus...drvrm said:please explain what is 'm'?
Several web pages that I looked at say that m is usually a nonnegative integer. Did you try searching for yourself?Mrinmoy Naskar said:y" - 2xy' + my = 0 this is well known hermite diff eqn. now can anyone tell me what kind of conts is m?? what is the suitable value of m??
Mrinmoy Naskar said:can anyone tell me what kind of conts is m?? what is the suitable value of m??
@mrinmoy Pl. see a detail analysisMark44 said:Several web pages that I looked at say that m is usually a nonnegative integer. Did you try searching for yourself?