52 citations · 786 across the 59 of their papers we have counts for
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math.AP2012★ 21 cited
Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation
Kira V. Khmelnytskaya, Vladislav V. Kravchenko, Sergii M. Torba +1
We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-G…
math.AP2012★ 31 cited
Construction of transmutation operators and hyperbolic pseudoanalytic functions
Vladislav V. Kravchenko, Sergii M. Torba
A representation for integral kernels of Delsarte transmutation operators is obtained in the form of a functional series with the exact formulas for the terms of the series. It is…