Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Concept

Gamma function

Related lectures (30)

Tangent to Graph of a Function

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

Bessel Equation: First Frobenius Series Solution around x=0

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

Definition of Indefinite Integral MOOC: Analysis I MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)

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

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.

Continuity Definition: Epsilon and Delta MOOC: Analysis I MOOC: Analysis I (part 4) : Limit of a function, continuous functions

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

Derivable ↔ Differentiable MOOC: Analysis I MOOC: Analysis I (part 5): Continuous and derivable functions, the derivative function

Explores the equivalence between being derivable and differentiable functions, with examples like sin(x) at x=0.

Complexity of Algorithms: Advanced Big-O Facts

Covers big-O estimates for factorial function and combinations of functions.

Environment instead of Substitutions

Presents an environment-based interpreter for recursive functions, optimizing evaluation through parameter bindings and eliminating the need for explicit substitutions.

Integration of CnR Class Functions MOOC: Analysis I MOOC: Analysis I (part 7) : Indefinite and definite integrals, integration (selected chapters)

Explains the integration of Taylor series for CnR class functions.

Taylor Polynomials: Special Cases

Explores Taylor polynomials, odd orders, simplification, residues, and special cases of zero polynomials.

Fourier Series: Understanding Periodicity and Coefficients

Explores t-periodic functions in Fourier series, discussing intervals, propositions, and variable changes for coefficient calculation and series convergence.

Analytical Extension of Gamma Function Log in to Mediaspace to watch this video

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 Log in to Mediaspace to watch this video

Covers the proof of Stirling's asymptotic formula for the Gamma function and the functional equation of the Zeta function.

Primes in arithmetic progressions (II), and Gamma functions Log in to Mediaspace to watch this video

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

Untitled Log in to Mediaspace to watch this video