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Graphs of Gamma

Graphs of Gamma and Bessel functions using python

Proof of uniqueness

Proof of uniqueness for 1D wave equation

Wave equation on

Wave equation on a disk part 1

Understanding what Bessel

Understanding what Bessel functions are

Introduction to the

Introduction to the Gamma function

An intuitive understanding

An intuitive understanding of maximum principle for harmonic functions

Mean value theorem

Mean value theorem for Laplace equations and its consequences

Derivation of the

Derivation of the heat kernel

Proof of inverse

Proof of inverse Fourier transform

Intro to Fourier

Intro to Fourier Transform and its properties

Solution of the

Solution of the heat equation on the half line

Obtaining convolution form

Obtaining convolution form of solution using Laplace transform

Power Series Solution

Power Series Solution of Bessel's Equation

Power series solutions

Power series solutions of the Legendre Equation

Review of Laplace

Review of Laplace transforms for solving ODEs

Feynman Trick for

Feynman Trick for the integral of (sin x)/x

More Gaussian Integrals

More Gaussian Integrals and the Feynman Trick

Gaussian Integrals and

Gaussian Integrals and the Error Function

Laplace PDE on

Laplace PDE on circular domain solved in polar coordinates

Sturm Liouville problem

Sturm Liouville problem with periodic boundary conditions

Laplace PDE when

Laplace PDE when none of the boundary conditions are zero

Polynomials that satisfy

Polynomials that satisfy the Laplace PDE

Solving Laplace PDE

Solving Laplace PDE using SoV example

How to handle

How to handle complicated boundary conditions for Laplace PDE