12 citations · 14 across the 9 of their papers we have counts for
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On regularization of the Heun functions
Oleg V. Motygin
In the paper we consider the Heun functions, which are solutions of the equation introduced by Karl Heun in 1889. The Heun functions generalize many known special functions and app…
On evaluation of the confluent Heun functions
Oleg V. Motygin
In this paper we consider the confluent Heun equation, which is a linear differential equation of second order with three singular points --- two of them are regular and the third…
On evaluation of the Heun functions
Oleg V. Motygin
In the paper we deal with the Heun functions --- solutions of the Heun equation, which is the most general Fuchsian equation of second order with four regular singular points. Desp…
On computation of oscillating integrals of ship-wave theory
Oleg V. Motygin
Green's function of the problem describing steady forward motion of bodies in an open ocean in the framework of the linear surface wave theory (the function is often referred to as…