Explore the intricacies of special functions in mathematics through an in-depth video lecture series focusing on Bessel's Functions and Legendre Polynomials. Delve into the fundamental concepts, recurrence relations, and proofs associated with Bessel's Functions, including their orthogonal properties and important example problems. Examine Legendre Polynomials, starting with the Rodrigues Formula and its proof, then progressing to generating functions, recurrence relations, and orthogonal properties. Gain practical knowledge on solving partial differential equations, with emphasis on homogeneous PDEs, complementary functions, and particular integrals. Conclude with valuable advice on protecting oneself during the Coronavirus pandemic, tailored for students and community members.
Overview
Syllabus
Bessel's Function | Recurrence Relation of Bessel's Function | Proofs.
Bessel's Function | Recurrence Relation of Bessel's Function | Part-II.
Bessel's Function | Important Example Problem of Bessel's Function.
Bessel's Function | Orthogonal Property of Bessel Function | Proof.
Legendre Polynomial | Rodrigues Formula | Proof of Rodrigues Formula.
Legendre Polynomials | Generating Function of Legendre Polynomial.
Legendre Polynomials | Recurrence Relation Of Legendre Polynomials.
Legendre Polynomial | Orthogonal Properties of Legendre Polynomial.
Partial Differential Equation | Homogeneous PDE | CF & PI | Part -I.
Partial Differential Equation | Homogeneous PDE | CF & PI | Part-II.
Partial Differential Equation | Homogeneous PDE | CF & PI | Part-III.
Partial Differential Equation | Homogeneous PDE | CF & PI | Part-IV.
Coronavirus | How To Protect Your Self | Advice For Students & Community Members.
Taught by
Gajendra Purohit
