Liouvillian function

In mathematics, a Liouvillian function is an elementary function or (recursively) the integral of a Liouvillian function. More explicitly, it is a… (More)
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1986-2018
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Papers overview

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2018
2018
While Liouvillian sequences are closed under many operations, simple examples show that they are not closed under convolution… (More)
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2016
2016
In this paper the problem of generalized synchronization, is studied for chaotic Liouvillian nonlinear fractional systems of… (More)
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2012
2012
Theorem 1 There exists a function I : N → N such that, if (1) has a non-zero Liouvillian solution, then there exist an algebraic… (More)
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2011
2011
Definition: We call a differential field (F,D) = (C(t1, . . . , tn), D) admissible, if 1. all ti are algebraically independent… (More)
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2007
2007
Augmented quasiparticle (QP) mappings, as applied to indistinguishable point sets of (Liouvillian) democratic-recoupled (DR… (More)
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2002
2002
We describe a new algorithm for computing special function solutions of the form <i>y</i>(<i>x</i>) = <i>m</i>(<i>x</i>)<i>F</i… (More)
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2001
2001
We present an algorithm to solve First Order Ordinary Differential Equations (FOODEs) extending the Prelle-Singer (PS) Method… (More)
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1995
1995
Let L(y ) = y" + a l y ~ + aoy be a second order equation with coefficients in a differential field k whose field of constants C… (More)
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Highly Cited
1988
Highly Cited
1988
Liouvillian functions are functions that are built up from rational functions using exponentiation, integration, and algebraic… (More)
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1986
1986
In this paper, we discuss a decision procedure for the indefinite integration of transcendental Liouvillian functions in terms of… (More)
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