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addition formulas
The addition formula of a real or complex function shows how the value of the function at a sum-formed variable can be expressed with the values of this function and perhaps of another function at the addends.
Examples
1. Addition formula of an additive function ,
2. Addition formula of the natural power function, i.e. the binomial theorem,
3. Addition formula of the exponential function,
4. Addition formulae of the trigonometric functions, e.g.
5. Addition formulae of the hyperbolic functions, e.g.
6. Addition formula of the Bessel function,
The five first of those are instances of algebraic addition formulae; e.g. and are tied together by the algebraic connection .
One may also speak of the subtraction formulae of functions — one example would be .
Mathematics Subject Classification
30D05 Functional equations in the complex domain, iteration and composition of analytic functions30A99 None of the above, but in MSC2010 section 30Axx
26A99 None of the above, but in MSC2010 section 26Axx
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