Description

A repo to keep track of various math PDFs I've created

Mostly Completed Documents

Bernoulli Numbers

• Bernoulli Numbers
• Bernoulli Polynomial

Continued Fractions

Darboux Formula

• Darboux Formula
• Taylor's Formula
• Euler-Maclaurin Formula

Gamma Function

• Euler Mascheroni Constant
• Weierstrass Formula
• Identities
• DiGamma function
• Euler Integral Identities
• Beta function
• Stirling's Approximation
• Stirling's Full Approximation with Bernoulli numbers

Zeta function

• Bernoulli Numbers
• Even Integer values
• Related functions (Dirichlet Eta, Dirichlet Lambda)
• Integral Forms
• Jacobi Theta Function
• First and Second Functional Form of Riemann Zeta function
• TODO add statement of Riemann Zeta Hypothesis

Fibonacci Numbers

Fourier Series

Eigenvalues are LaGrange Multipliers proof

Sine Product Formula

• Sine Product Formula
• Basel Problem
• Cot(x) link with Zeta(2n)
• Wallis Product
• Weierstrass Factorization Theorem

Useful imaginary Identities

• Taylor Series proof of Euler Identity
• Partial Fraction Decomposition proof of Euler Identity
• Differential Equation proof of Euler Identity

Minor documents

Ramanujan Identity

Exact Polynomial Equation Solutions

• History
• Quadratic
• Cubic

Recursive Sum of Powers

Gaussian Integral

Basic Trig Functions

Integral Zeta(2)

Tangent Slope

Geometric Series

Sum of Arithmetic Sequence

Pascals Row Sum

Quadratic Equation

Only skeleton

Logs Simple Method

Symmetric Positive Definite Matrix Bounds