Category:Examples of Power Series
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This category contains examples of power series expansions.
Let $\xi \in \R$ be a real number.
Let $\sequence {a_n}$ be a sequence in $\R$.
The series $\ds \sum_{n \mathop = 0}^\infty a_n \paren {x - \xi}^n$, where $x \in \R$ is a variable, is called a power series in $x$ about the point $\xi$.
Subcategories
This category has the following 14 subcategories, out of 14 total.
Pages in category "Examples of Power Series"
The following 68 pages are in this category, out of 68 total.
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- Power Series Expansion for Complementary Error Function
- Power Series Expansion for Cosecant Function
- Power Series Expansion for Cosine Function
- Power Series Expansion for Cosine Integral Function plus Logarithm
- Power Series Expansion for Cotangent Function
- Power Series Expansion for Cube Root of 1 + x
- Power Series Expansion for Error Function
- Power Series Expansion for Exponential Function
- Power Series Expansion for Exponential Integral Function
- Power Series Expansion for Exponential of Cosine of x
- Power Series Expansion for Exponential of Sine of x
- Power Series Expansion for Exponential of Tangent of x
- Power Series Expansion for Exponential of x by Cosine of x
- Power Series Expansion for Exponential of x by Sine of x
- Power Series Expansion for Fresnel Cosine Integral Function
- Power Series Expansion for Fresnel Sine Integral Function
- Power Series Expansion for General Exponential Function
- Power Series Expansion for Half Logarithm of 1 + x over 1 - x
- Power Series Expansion for Harmonic Numbers
- Power Series Expansion for Hyperbolic Cosecant Function
- Power Series Expansion for Hyperbolic Cosine Function
- Power Series Expansion for Hyperbolic Cotangent Function
- Power Series Expansion for Hyperbolic Secant Function
- Power Series Expansion for Hyperbolic Sine Function
- Power Series Expansion for Hyperbolic Tangent Function
- Power Series Expansion for Integer Power of Exponential Function minus 1
- Power Series Expansion for Logarithm of 1 + x
- Power Series Expansion for Logarithm of 1 + x over 1 + x
- Power Series Expansion for Logarithm of 1 + x/Corollary
- Power Series Expansion for Logarithm of Cosine of x
- Power Series Expansion for Logarithm of Gamma Function
- Power Series Expansion for Logarithm of Sine of x
- Power Series Expansion for Logarithm of Tangent of x
- Power Series Expansion for Logarithm of x
- Power Series Expansion for Logarithm of x/Formulation 1
- Power Series Expansion for Logarithm of x/Formulation 2
- Power Series Expansion for nth Power of Logarithm of Reciprocal of 1-z
- Power Series Expansion for Real Arccosecant Function
- Power Series Expansion for Real Arccosine Function
- Power Series Expansion for Real Arccotangent Function
- Power Series Expansion for Real Arcsecant Function
- Power Series Expansion for Real Arcsine Function
- Power Series Expansion for Real Arctangent Function
- Power Series Expansion for Real Area Hyperbolic Cosecant
- Power Series Expansion for Real Area Hyperbolic Cosine
- Power Series Expansion for Real Area Hyperbolic Cotangent
- Power Series Expansion for Real Area Hyperbolic Secant
- Power Series Expansion for Real Area Hyperbolic Sine
- Power Series Expansion for Real Area Hyperbolic Tangent
- Power Series Expansion for Reciprocal of 1 + x
- Power Series Expansion for Reciprocal of 1-z to the m+1 by Logarithm of Reciprocal of 1-z
- Power Series Expansion for Reciprocal of Cube of 1 + x
- Power Series Expansion for Reciprocal of Cube Root of 1 + x
- Power Series Expansion for Reciprocal of Square of 1 + x
- Power Series Expansion for Reciprocal of Square of 1 - z
- Power Series Expansion for Reciprocal of Square Root of 1 + x
- Power Series Expansion for Reciprocal of Square Root of 1 - x
- Power Series Expansion for Secant Function
- Power Series Expansion for Sine Function
- Power Series Expansion for Sine Integral Function
- Power Series Expansion for Spence's Function
- Power Series Expansion for Square Root of 1 + x
- Power Series Expansion for Square Root of 1 - x
- Power Series Expansion for Tangent Function