Rational Newton algorithm for computing formal solutions of linear differential equations

Symbolic and Algebraic Computation - Lecture Notes in Computer Science ◽

10.1007/3-540-51084-2_17 ◽

1989 ◽

pp. 183-195 ◽

Author(s):

M. A. Barkatou

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Newton Algorithm ◽

Linear Differential ◽

Formal Solutions

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Formal solutions of scalar singularly-perturbed linear differential equations

Proceedings of the 1999 international symposium on Symbolic and algebraic computation - ISSAC '99 ◽

10.1145/309831.309879 ◽

1999 ◽

Author(s):

Y. O. Macutan

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Singularly Perturbed ◽

Linear Differential ◽

Formal Solutions

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Formal Solutions of Irregular Linear Differential Equations. Part II

American Journal of Mathematics ◽

10.2307/2371061 ◽

1936 ◽

Vol 58 (1) ◽

pp. 130 ◽

Author(s):

Frances Thorndike Cope

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Linear Differential ◽

Formal Solutions

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Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases

Journal of Symbolic Computation ◽

10.1016/j.jsc.2016.11.014 ◽

2017 ◽

Vol 83 ◽

pp. 254-271 ◽

Author(s):

Erdal Imamoglu ◽

Mark van Hoeij

Keyword(s):

Differential Equations ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Integral Bases ◽

Linear Differential ◽

Formal Solutions ◽

Hypergeometric Solutions

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Formal Solutions of Irregular Linear Differential Equations. Part I

American Journal of Mathematics ◽

10.2307/2370946 ◽

1934 ◽

Vol 56 (1/4) ◽

pp. 411 ◽

Author(s):

Frances Thorndike Cope

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Linear Differential ◽

Formal Solutions

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Computing Hypergeometric Solutions of Second Order Linear Differential Equations using Quotients of Formal Solutions

Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '15 ◽

10.1145/2755996.2756651 ◽

2015 ◽

Author(s):

Erdal Imamoglu ◽

Mark van Hoeij

Keyword(s):

Differential Equations ◽

Second Order ◽

Linear Differential Equations ◽

Order Linear ◽

Linear Differential ◽

Formal Solutions ◽

Hypergeometric Solutions

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An Algorithm Computing the Regular Formal Solutions of a System of Linear Differential Equations

Journal of Symbolic Computation ◽

10.1006/jsco.1999.0315 ◽

1999 ◽

Vol 28 (4-5) ◽

pp. 569-587 ◽

Author(s):

Moulay Barkatou ◽

Eckhard Pflügel

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Linear Differential ◽

Formal Solutions

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Half-Linear Differential Equations

10.1016/s0304-0208(05)x8001-x ◽

2005 ◽

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Linear Differential

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THE UNIVERSE IS ENCODED IN TERMS OF LINEAR DIFFERENTIAL EQUATIONS (continued)

European Journal of Technical and Natural Sciences ◽

10.29013/ejtns-18-4-73-78 ◽

2018 ◽

pp. 73-78

Author(s):

H. Felix

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Linear Differential ◽

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Convergence of Implicit Dicretization Schemes for Linear Differential Equations With Application to Filtering

10.21236/ada444286 ◽

1986 ◽

Author(s):

M. Piccioni

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Linear Differential

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Reducibility of Linear Differential Systems to Linear Differential Equations

Moscow University Mathematics Bulletin ◽

10.3103/s0027132219030045 ◽

2019 ◽

Vol 74 (3) ◽

pp. 121-126

Author(s):

I. N. Sergeev

Keyword(s):

Differential Equations ◽

Linear Differential Equations ◽

Differential Systems ◽

Linear Differential Systems ◽

Linear Differential

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