Lectures related to Gamma function

Analytical Extension of Gamma Function

Covers the analytical extension of the Gamma function to real and complex numbers, discussing properties and convergence.

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.

Tangent to Graph of a Function

Explores finding the equation of the tangent line to a function's graph at a point.

Primes in arithmetic progressions (II), and Gamma functions

Explores the existence of primes in arithmetic progressions and the properties of the Euler gamma function.

Bessel Equation: First Frobenius Series Solution around x=0

Explores the Bessel equation solution method and the gamma function properties.

Definition of Indefinite Integral

Explains the definition and properties of indefinite integrals, highlighting the relationship between primitives and the set of all primitives of a function.

Untitled

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.

Untitled

Complex Functions: Norm Equivalence

Explores norm equivalence in complex functions, covering homogeneity and triangular inequality.

Muscles of Mastication: Anatomy and Function

Explains the anatomy and function of the muscles involved in jaw movement and chewing.

Untitled

Linear Approximation and Derivative Parametric

Covers linear approximation, parametric derivatives, and differentiability conditions on intervals.

Untitled

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.

Bessel Equation: Second Frobenius Series Solution

Explores the Bessel equation, deriving solutions and investigating the existence of a second Frobenius series solution.

Derivability and Continuity

Covers the concept of derivability and its implications for continuity in functions.

Green's Function: Theory and Applications

Covers the theory and applications of Green's function in solving differential equations.

Continuity Definition: Epsilon and Delta

Covers the definition of continuity at a point using epsilon and delta.