addition formula
The addition formula of a real (http://planetmath.org/RealFunction) or complex function shows how the value of the function on a sum-formed variable can be expressed with the values of this function and perhaps of another function on the addends.
Examples
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1.
Addition formula of an additive function ,
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2.
Addition formula of the natural power function, i.e. the binomial theorem,
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3.
Addition formula of the exponential function (http://planetmath.org/ComplexExponentialFunction),
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4.
Addition formulae of the trigonometric functions (http://planetmath.org/DefinitionsInTrigonometry), e.g.
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5.
Addition formulae of the hyperbolic functions, e.g.
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6.
Addition formula of the Bessel function,
The five first of those are instances of ; e.g. and are tied together by the algebraic connection (http://planetmath.org/UnitHyperbola) .
One may also speak of the subtraction formulae of functions — one example would be .
Title | addition formula |
Canonical name | AdditionFormula |
Date of creation | 2013-03-22 14:44:20 |
Last modified on | 2013-03-22 14:44:20 |
Owner | pahio (2872) |
Last modified by | pahio (2872) |
Numerical id | 26 |
Author | pahio (2872) |
Entry type | Definition |
Classification | msc 30D05 |
Classification | msc 30A99 |
Classification | msc 26A99 |
Synonym | addition theorem |
Defines | addition formulae |
Defines | subtraction formula |
Defines | subtraction formulae |