Description: Production functions

Cost Functions, Lecture Notes - Economics

Cost functions, marshallin and hicksian demand functions, shephard lemma, Roys identity, walra's law, homogeneity negativity, correspondence fucntional, structures separaility and aggregation

Gamma and Beta Function, Lecture Notes - Mathematics

Gamma Function,Beta Function,generalization of the binomial coefficient, integral,transformation,Relation Between Gamma Function and Sine Function, Duplication Formula for the Gamma Function.

Elliptical, Parabolic and Hyperbolic Functions, Lecture Notes- Physics

Elliptical Equation, Parabolic Equation, Hyperbolic Functions, Initial Value and boundary value problems

Gamma Function, Lecture Notes - Mathematics

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.

Gamma Functions, Lecture Notes - Mathematics

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

Elliptic Function, Lecture Notes - Mathematics

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 function of Jacobi, Interchangeability of Cub...

Doubly Periodic Functions, Lecture Notes - Mathematics

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 any meromorphic differential, meromorphi...

Properties of Continuous Functions, Lecture Notes - Integral Calculus

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

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