17 citations · 27 across the 9 of their papers we have counts for
10 papers
On existence and properties of roots of third Painlevé' transcendents
S. I. Tertychniy
Separate consideration of properties of roots of Third Painlevé transcendents (P_III-functions) is necessary due to irregularity the differential equation defining them reveals on…
Special functions associated with automorphisms of the space of solutions to special double confluent Heun equation
S. I. Tertychniy
The family of quads of interrelated functions holomorphic on the universal cover of the complex plane without zero (for brevity, pqrs-functions), revealing a number of remarkable p…
Symmetries of the space of solutions to special double confluent Heun equation of negative integer order and its applications
Sergey I. Tertychniy
Three linear operators (-operators) determining automorphisms of the space of solutions to a special double confluent Heun equation (sDCHE) of negative integer order…
Square root of the monodromy map for the equation of RSJ model of Josephson junction
Sergey I. Tertychniy
Several noteworthy properties of the differential equation utilized for the modeling of Josephson junctions are considered. The explicit representation of the monodromy transform o…
The interrelation of the special double confluent Heun equation and the equation of RSJ model of Josephson junction revisited
Sergey I. Tertychniy
The explicit formulas for the maps interconnecting the sets of solutions of the special double confluent Heun equation and the equation of the RSJ model of overdamped Josephson jun…
Specialized computer algebra system for application in general relativity
S. Tertychniy
A brief characteristic of the specialized computer algebra system GRG_EC intended for symbolic computations in the field of general relativity is given.