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Special formal series solutions of linear operator equations

- S. Abramov, M. Petkovsek, A. Ryabenko
- Mathematics, Computer Science
- Discret. Math.
- 2000

TLDR

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Conditions favorable to the existence of an undulating jump

- A. Ryabenko
- Mathematics
- 1 December 1990

Conclusions1.In analyzing the boundaries of development of an undulating jump, it is necessary to distinguish the conditions of existence of departing and approaching undulating jumps.2.The breaking… Expand

18 2

Resolving sequences of operators for linear ordinary differential and difference systems of arbitrary order

- S. Abramov, M. Petkovsek, A. Ryabenko
- Mathematics
- 2 June 2016

We introduce the notion of a resolving sequence of (scalar) operators for a given differential or difference system with coefficients in some differential or difference field K. We propose an… Expand

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Representation of a wave jump and group of translation waves as a combination of a solitary wave and knoidal waves

- A. Ryabenko
- Physics
- 1 May 1998

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Procedures for searching local solutions of linear differential systems with infinite power series in the role of coefficients

- S. Abramov, A. Ryabenko, D. E. Khmelnov
- Mathematics, Computer Science
- Programming and Computer Software
- 1 March 2016

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5

On exponential-logarithmic solutions of linear differential systems with power series coefficients

- A. Ryabenko
- Mathematics, Computer Science
- Programming and Computer Software
- 1 March 2015

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4

Laurent, Rational, and Hypergeometric Solutions of Linear q-Difference Systems of Arbitrary Order with Polynomial Coefficients

- S. Abramov, A. Ryabenko, D. E. Khmelnov
- Mathematics, Computer Science
- Programming and Computer Software
- 2 April 2018

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3

A definite summation of hypergeometric terms of special kind

- A. Ryabenko
- Mathematics, Computer Science
- Programming and Computer Software
- 1 July 2011

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1

Hypergeometric Solutions of First-Order Linear Difference Systems with Rational-Function Coefficients

- S. Abramov, M. Petkovsek, A. Ryabenko
- Mathematics, Computer Science
- CASC
- 14 September 2015

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3

Indicial rational functions of linear ordinary differential equations with polynomial coefficients

- S. Abramov, A. Ryabenko
- Mathematics
- 12 November 2009

The notion of indicial rational function is introduced for ordinary differential equations with polynomial coefficients and polynomial right-hand sides, and algorithms for its construction are… Expand

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