Prove the nth Hermite polynomial has n real zeros

  • Context: Graduate 
  • Thread starter Thread starter Happiness
  • Start date Start date
  • Tags Tags
    Polynomial
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 1K views
Happiness
Messages
686
Reaction score
30
Screen Shot 2015-12-16 at 2.31.48 am.png


Screen Shot 2015-12-16 at 2.32.04 am.png


How is it implied?
 

Discussion

Physics news on Phys.org

Similar threads

Graduate Prove the nth energy eigenfunction has n-1 zeros

  • Happiness
  • · Replies 7 ·
  • Quantum Physics
Replies
7

Graduate Hermite polynomial and transformation

  • KFC
  • · Replies 2 ·
  • Quantum Physics
Replies
2

Undergrad Prove an nth-degree polynomial has exactly n roots

  • Happiness
  • · Replies 3 ·
  • Linear and Abstract Algebra
Replies
3

Prove a Polynomial has no real roots

  • lfdahl
  • · Replies 4 ·
  • General Math
Replies
4

Upper & Lower Bounds Real Zeros-Polynomial Division, Proofs?

  • Saturnine Zero
  • · Replies 4 ·
  • Precalculus Mathematics Homework Help
Replies
4

Can you help me prove the integral for Hermite polynomials?

  • Gabriel Maia
  • · Replies 2 ·
  • Calculus and Beyond Homework Help
Replies
2

Real Zeros of a Polynomial Function

  • Taryn1
  • · Replies 8 ·
  • General Math
Replies
8

Generate hermite polynomial coefficients

  • khemist
  • · Replies 4 ·
  • Engineering and Comp Sci Homework Help
Replies
4

Graduate How Can the Hermite Polynomial Identity Be Proven?

  • appelberry
  • · Replies 1 ·
  • Calculus
Replies
1

Hermite Polynomial Reccurence Relation

  • Scootertaj
  • · Replies 6 ·
  • Calculus and Beyond Homework Help
Replies
6