A note on theH-functions of transfer problems in multiplying media

Some useful results and remodelled representations ofH-functions corresponding to the dispersion function $$Tleft( z right) = 1 - 2z^2 sumlimits_1^n {int_0^{lambda r} {Y_r } left( x right){text{d}}x/left( {z^2 - x^2 } right)} $$ are derived, suitable to the case of a multiplying medium characterized by $$gamma _0 = sumlimits_1^n {int_0^{lambda r} {Y_r } left( x right){text{d}}x > tfrac{1}{2} Rightarrow xi = 1 - 2gamma _0< 0} $$