Functions of a complex variable Concept
Power series
Summary
A power series is an infinite sum of terms , with constant coefficients and center . Inside its radius of convergence, it defines a function. The node power series gives the precise definition.
Where this leads
14 pages build on this one.
- Hypergeometric series
- Rogers polynomials
- Fuchs' theorem
- Frobenius method
- Basic hypergeometric series
- q-exponential
- p-adic Lie group
- Cauchy–Kovalevskaya theorem for ODEs
- Generalized hypergeometric function
- Mittag-Leffler function
- Bessel function of the first kind
- Matrix function
- Fox–Wright function
- Confluent hypergeometric function
Further reading
- Web https://en.wikipedia.org/wiki/Power_series, lead section
About this page
| Tag | 0MZB06ST2B |
|---|---|
| URI | m2://0MZB06ST2B |
| Kind | concept |
| Writing | W1 stated |
| MSC | 30B10 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (1 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.
What links here
Special cases
- Power series in the complex plane
- Taylor series
- Hypergeometric series
- Power series in several variables
Instances
Definitions
Used by
- Hypergeometric series
- Rogers polynomials
- Fuchs' theorem
- Frobenius method
- Basic hypergeometric series
- q-exponential
- p-adic Lie group
- Cauchy–Kovalevskaya theorem for ODEs
- Generalized hypergeometric function
- Mittag-Leffler function
- Bessel function of the first kind
- Matrix function
- Fox–Wright function
- Confluent hypergeometric function