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.