I have difficulty in this problem. Show that the 1st derivative of the Legendre polynomials satisfy a self-adjoint differential equation with eigenvalue $\lambda=n(n+1)-2$.
2026-03-25 12:49:18.1774442958
1st derivative of the Legendre Polynomial
375 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in LEGENDRE-POLYNOMIALS
- Why is Legendre's polynomial the solution to the theta equation in the Schrödinger's equation of a hydrogen atom?
- Calculate Stieltjes Polynomial
- How do I turn $\cos(3\theta)$ into a polynomial?
- Legendre polynomials: show that two algorithms construct the same polynomials
- Asymptotic form of the associated Legendre polynomials $P^m_l (z)$ at z=1
- Calculating coefficient of approximation polynomial which is expanded in to a series of Legendre Polynomials
- Proving orthogonality of Legendre polynomials
- If $P_n(1)=1$ calculate $P'_n(1)$ in Legendre polynomials
- Proving a result related to Legendre polynomials
- How to prove that Legendre polynomials satisfy $P_n(x)\leq 1$
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?