# A note on integration of rational functions

Mathematica Bohemica (1991)

- Volume: 116, Issue: 4, page 405-411
- ISSN: 0862-7959

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topMařík, Jan. "A note on integration of rational functions." Mathematica Bohemica 116.4 (1991): 405-411. <http://eudml.org/doc/29178>.

@article{Mařík1991,

abstract = {Let $P$ and $Q$ be polynomials in one variable with complex coefficients and let $n$ be a natural number. Suppose that $Q$ is not constant and has only simple roots. Then there is a rational function $\varphi $ with $\varphi ^\{\prime \}=P/Q^\{n+1\}$ if and only if the Wronskian of the functions $Q^\{\prime \},(Q^2)^\{\prime \},\ldots ,(Q^n)^\{\prime \},P$ is divisible by $Q$.},

author = {Mařík, Jan},

journal = {Mathematica Bohemica},

keywords = {integration; primitive; rational function; Wronskian; integration; primitive; rational function; Wronskian},

language = {eng},

number = {4},

pages = {405-411},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {A note on integration of rational functions},

url = {http://eudml.org/doc/29178},

volume = {116},

year = {1991},

}

TY - JOUR

AU - Mařík, Jan

TI - A note on integration of rational functions

JO - Mathematica Bohemica

PY - 1991

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 116

IS - 4

SP - 405

EP - 411

AB - Let $P$ and $Q$ be polynomials in one variable with complex coefficients and let $n$ be a natural number. Suppose that $Q$ is not constant and has only simple roots. Then there is a rational function $\varphi $ with $\varphi ^{\prime }=P/Q^{n+1}$ if and only if the Wronskian of the functions $Q^{\prime },(Q^2)^{\prime },\ldots ,(Q^n)^{\prime },P$ is divisible by $Q$.

LA - eng

KW - integration; primitive; rational function; Wronskian; integration; primitive; rational function; Wronskian

UR - http://eudml.org/doc/29178

ER -

## References

top- G. H. Hardy, The integration of functions of a single variable, Second edition, Cambridge, 1928. (1928)

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