Lectures related to Modular Lambda Function: Properties and Applications

Explores the Weierstrass Preparation Theorem for entire functions and the construction of root sequences.

Covers the calculation of residues, types of singularities, and applications of the residue theorem in complex analysis.

Complex Exponential: De Moivre's Formula

Covers De Moivre's formula for finding roots of complex numbers and the concept of complex exponential.

Gamma Function and Stirling's Approximation: Mathematical Methods

Discusses the gamma function, its properties, and Stirling's approximation for large factorials, emphasizing their significance in mathematical methods for physics.

Laurent Series and Convergence: Complex Analysis Fundamentals

Introduces Laurent series in complex analysis, focusing on convergence and analytic functions.

Fourier Transform: Residue Method

Covers the calculation of Fourier transforms using the residue method and applications in various scenarios.

Green Functions and Electrostatics

Explores Green functions, complex analysis, and electrostatics, including EM waves and residue theorem.

Canonical Divisors and Modular Forms

Covers canonical divisors on Riemann surfaces and properties of modular forms.