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Hypergeometric function
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Related lectures (12)
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Conformal Field Theory: Hypergeometric Functions
Covers Conformal Field Theory exercises on Hypergeometric functions, including AdS coordinates transformation and Casimir equation.
Frobenius Method: Illustration around an Ordinary Point
Covers the Frobenius method for solving ODEs around an ordinary point.
Functions defined by entire series
Covers the concept of functions defined by entire series and their association with functions f(x).
Position Space Approach: Analyzing Banana Feynman Diagrams
Presents the position space approach to banana Feynman diagrams and their differential equations.
Complex Numbers: Representations
Explores different ways to represent complex numbers, including geometric and trigonometric representations, simplifying calculations and enhancing intuition.
Frobenius Method: General Case of Regular Singular Point
Explores the Frobenius method for regular singular points in ODEs, emphasizing the nature of roots and deriving solutions.
Bessel Equation: Second Frobenius Series Solution
Explores the Bessel equation, deriving solutions and investigating the existence of a second Frobenius series solution.
Quantum Mechanics Basics
Covers the basics of quantum mechanics, including angular momentum and energy levels.
Bessel Equation: First Frobenius Series Solution around x=0
Explores the Bessel equation solution method and the gamma function properties.
Differential Equations: Speed Variation Analysis
Covers the analysis of speed variation using differential equations and small time intervals.
Numerical Integration
Explores numerical methods for approximating integrals and discusses various integration formulas' accuracy and order of approximation.
Gauss Representation
Explores the Gauss representation of complex numbers, focusing on addition, multiplication, bases, and vector space dimensions.
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