Add to ORKGThere are several methods of calculating the unknown coefficients appearing in the partial fraction expansion of a fraction of two polynomials. This paper shows how to derive a method based on standard results from the theory of complex variables, namely, the Cauchy-Goursat theorem and the Cauchy integral formula
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
In this paper we show how to apply various techniques and theorems (including Pincherle’s theorem, a...
Explains the partial fraction expansion procedure when the denominator has repeated linear roots, an...
Cayley used ordinary partial fractions decompositions of 1/[(1-x)(1-x^2). . .(1-x^m)] to obtain dire...
textAbstract Investigating Methods of Partial Fraction Decomposition Anthony David Newberry, M...
AbstractNine methods for expressing a proper rational function in terms of partial fractions are pre...
A simple and novel method for evaluating the partial fraction expansion of proper rational functions...
Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.The paper is devot...
Partial fraction expansion (pfe) is a classic technique used in many fields of pure or applied mathe...
AbstractThe Chebyshev series expansion ∑′n=0∞anTn(x) of the inverse of a polynomial ∑j=0kbjTj(x) is ...
We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomi...
Explains the partial fraction expansion procedure when the denominator has a mixture of linear roots...
AbstractA new formula for matrix partial fraction expansion is established. It only involves the inv...
We give a recursive description of polynomials with non-negative rational coefficients, which are c...
AbstractWe study expansions in polynomials {Pn(x)}∞o generated by ∑∞n = o Pn(x)tn = A(t) φ(xtkθ(t)),...
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
In this paper we show how to apply various techniques and theorems (including Pincherle’s theorem, a...
Explains the partial fraction expansion procedure when the denominator has repeated linear roots, an...
Cayley used ordinary partial fractions decompositions of 1/[(1-x)(1-x^2). . .(1-x^m)] to obtain dire...
textAbstract Investigating Methods of Partial Fraction Decomposition Anthony David Newberry, M...
AbstractNine methods for expressing a proper rational function in terms of partial fractions are pre...
A simple and novel method for evaluating the partial fraction expansion of proper rational functions...
Текст статьи не публикуется в открытом доступе в соответствии с политикой журнала.The paper is devot...
Partial fraction expansion (pfe) is a classic technique used in many fields of pure or applied mathe...
AbstractThe Chebyshev series expansion ∑′n=0∞anTn(x) of the inverse of a polynomial ∑j=0kbjTj(x) is ...
We deduce exact integral formulae for the coefficients of Gaussian, multinomial and Catalan polynomi...
Explains the partial fraction expansion procedure when the denominator has a mixture of linear roots...
AbstractA new formula for matrix partial fraction expansion is established. It only involves the inv...
We give a recursive description of polynomials with non-negative rational coefficients, which are c...
AbstractWe study expansions in polynomials {Pn(x)}∞o generated by ∑∞n = o Pn(x)tn = A(t) φ(xtkθ(t)),...
AbstractLet F be an arbitrary field and let K = F((x−1)) be the field of formal Laurent series in x−...
In this paper we show how to apply various techniques and theorems (including Pincherle’s theorem, a...
Explains the partial fraction expansion procedure when the denominator has repeated linear roots, an...