Investigates fundamental solutions of a B-hyperbolic operator, indicating new insights into mathematical operators.
The B -hyperbolic operator γ=∂ ²/∂ t²-a² Δ _Bγ is considered with the operator Δ _Bγ=∑ ᵢ₌₁ⁿ Bγ ᵢ , where Bγ ᵢ are Bessel operators with parameters γ ᵢ>-1 . The definition of the δ -γ -Dirac distribution is introduced, and a formula for the Bessel transform of the δ -γ -Dirac distribution is obtained. Three types of fundamental solutions of the B -hyperbolic operator are given. A solution of the inhomogeneous B -hyperbolic equation is presented.
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Lyakhov et al. (2025) studied this question.
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