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Hadamard's gamma function
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Related lectures (11)
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Analytical Extension of Gamma Function
Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.
Bessel Equation: First Frobenius Series Solution around x=0
Explores the Bessel equation solution method and the gamma function properties.
Bessel Equation: Second Frobenius Series Solution
Explores the Bessel equation, deriving solutions and investigating the existence of a second Frobenius series solution.
Primes in arithmetic progressions (II), and Gamma functions
Explores the existence of primes in arithmetic progressions and the properties of the Euler gamma function.
Stirling's Formula and Functional Equation for Zeta
Covers the proof of Stirling's asymptotic formula for the Gamma function and the functional equation of the Zeta function.
Linear Equation Solution Example
Illustrates the resolution of a linear equation with a second member.
Gamma function II, and Poisson summation formula
Covers the Gamma function properties and the Poisson summation formula for real and complex numbers.
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.
Non-vanishing of Dirichlet L-function and Gamma functions
Covers the proof of non-vanishing of Quadratic Dirichlet L-function and reviews basic properties of Gamma function.
Variational Methods: Shortest Time Path Problem
Covers variational methods to find the shortest time path for a particle under gravity.
Limits and Continuity: Concepts and Examples
Covers limits, continuity, open sets, and function extension by continuity with illustrative examples.
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