Submitted by admin on Tue, 03/17/2009 - 1:35pm
Cheat Sheet
Polylogarithm Function
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(this function is defined in complex plane over a disk with radius 1)
Some formulas for argument ½ with small n are known:
Zeta Riemann Function (Euler’s Zeta Function)
General Zeta Riemann Function
Dirichlet Eta Function
Relationship between Zeta and Eta Functions
Zeta and Gamma Function
Gamma Function
Beta Function
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, 
Digamma Function
Euler Product
Riemann Zeta Functional Equation
Riemann Hypothesis
All nontrivial zeros of the Riemann zeta function are complex numbers with real part ½.
Series Power of Natures Numbers
Arithmetic
Geometric
Binomial
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, where -
Maclaurin Series
Taylor Series
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, where -
Some Power Series
Trigonometry
Law of Sines
Law of Cosines
Hyperbolic functions
Complex
Half Angle Tangent
Multiple Angle Identities for Cosine
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(Double angle identity for cosine) -
(Triple angle cosine identity for cosine) -
(Quadruple angle cosine identity) -
(Quintuple angle cosine identity) -
(Sextuple angle cosine identity) -
(Septic angle cosine Identity)
Multiple Angle Identities for Hyperbolic Cosine
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(Double angle identity for hyperbolic cosine) -
(Triple angle cosine identity for hyperbolic cosine) -
(Quadruple angle identity hyperbolic cosine) -
(Quintuple angle identity for hyperbolic cosine) -
(Sextuple angle identity for hyperbolic cosine) -
(Septic angle identity for hyperbolic cosine)
Multiple Angle Identities for Tangent
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(Double angle identity for tangent) -
(Triple angle identity for tangent) -
(Quadruple angle identity for tangent) -
(Quintuple angle identity for tangent) -
(Sextuple angle identity for tangent) -
(Septic angle Identity for tangent)
Multiple Angle Identities for Hyperbolic Tangent
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(Double angle identity for hyperbolic tangent) -
(Triple angle identity for hyperbolic tangent) -
(Quadruple angle identity for hyperbolic tangent) -
(Quintuple angle identity for hyperbolic tangent) -
(Sextuple angle identity for hyperbolic tangent) -
(Septic angle Identity for hyperbolic tangent)
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