#### Gamma Functions, Lecture Notes - Mathematics

Gamma function, complex variable, product formula, Consequences of the product formula, logarithmic derivative, Euler-Maclaurin , Taylor expansion, Laurent expansion.

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Gamma function, complex variable, product formula, Consequences of the product formula, logarithmic derivative, Euler-Maclaurin , Taylor expansion, Laurent expansion.

The product formula, Euler's integrals, Euler's constant, The Gamma function has the product formulas , Consequences of the product formula, Stirling approximation , The logarithmic derivative.

Elliptic Functions,Rectification of Ellipse, the equation of
a general ellipse, elliptic integrals, equation of the conservation of energy ,differential equation, Jacobi, the elliptic sine funct...

Louiville's Theorem and consequences, Zeros Identity Principle, Maxima, Maximum Modulus Theorem

Lattices, doubly periodic functions, vector space, partial summation, p-adic integers, A doubly-periodic holomorphic function is constant, holomorphic differentials,The sum of the residues of a...

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