Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Website: https://www.sfu-kras.ru/lyapinap
Keywords: multi-dimensional difference equations, generating function, asymptotic
UDC: 517.55

Subject:

The methods of the theory function of several complex variable in the combinatorial analysis.

Main publications:

1. A.P. Lyapin, S. Chandragiri, “Generating functions for vector partition functions and a basic recurrence relation”, Journal of Difference Equations and Applications, 25:7 (2019), 1052–1061            
2. A. Lyapin, T. Cuchta, “Sections of a generating series of a solution to a difference equation in a simplicial cone”, The Bulletin of Irkutsk State University. Series Mathematics, 2022, no. 42, 75–89              
3. S.S. Akhtamova, V.S. Alekseev, A.P. Lyapin, “Discrete Generating Functions”, Mathematical Notes, 114:6 (2023), 1087–1093          
4. S.S. Akhtamova, T. Cuchta, A. Lyapin, “An Approach to Multidimensional Discrete Generating Series”, Mathematics, 12:1 (2024), 143, 10 с.        
5. A.P. Lyapin, E.N. Mikhalkin, “Algorithm for Finding Singular Points of a General Algebraic Hypersurface”, Programming and Computer Software, 51:2 (2025), 88–92        

Publications

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Organisations:

• Fairmont State University, Fairmont, WV, USA
• Friedrich-Schiller-University, Jena, Germany
• Siberian Federal University, Krasnoyarsk, Russia