Gamma Function and Stirling's Approximation: Mathematical Methods

Related lectures (28)

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Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Discusses electrostatics, Green's functions, and the application of complex analysis in deriving potentials.

Covers the Gamma function properties and the Poisson summation formula for real and complex numbers.

Explores holomorphic functions, Cauchy-Riemann conditions, and principal argument values in complex analysis.

Explores uniform convergence of series of functions and its significance in complex analysis.

Discusses complex integration techniques for calculating Fourier transforms and introduces the Laplace transform's applications.

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Discusses the residue theorem and its applications in complex analysis, including integral calculations and Laurent series.

Covers the fundamentals of complex analysis, focusing on complex functions, their properties, and applications in solving differential equations.

Discusses complex integration and Cauchy's theorem, focusing on integrals along curves in the complex plane.