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We discuss the digamma-function and its properties. See how to use Saddle Point Approximation to obtain the Here we address the famous Watson's lemma for computation of loop integrals, P1. Week 2: Laplace method and stationary phase approximation. This time we discuss how to use Euler's digamma function to compute highly nontirvial integrals, Part 1. We discuss the Stokes phenomenon using Airy function as an example. The course is for ...
We discuss the so called Hankel representation of the Gamma-function in the We discuss definition and elementary properties of Gamma function and also derive a mirror identity.
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Asymptotics in a complex plane. Stationary phase approximation, Part 1.
Asymptotics in the complex plane. Application of Eulers digamma function, Part 1.
Asymptotics in a complex plane. Stokes phenomenon, Part 4.
Asymptotics in a complex plane. Hankel representation of the Gamma-function.
Asymptotics in a complex plane, Optimal summation, Superasymptotics.
Asymptotics in a complex plane, Taylor Series vs Asymptotic Expansions. Illustration.
Asymptotics in a complex plane. Gamma function, Part 1.
Asymptotics in a complex plane. Integration by parts technique, limitations and more examples.
Asymptotics in a complex plane. Digamma function properties and asymptotics Part 2.
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Last Updated: June 22, 2026
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