KG-oscillators in Som-Raychaudhuri rotating cosmic string spacetime in a mixed magnetic field

We investigate Klein-Gordon (KG) oscillators in a G\"{o}% del-type Som-Raychaudhuri spacetime in a mixed magnetic field (given by the vector potential Aμ=( 0,0,Aφ,0), with % Aφ=B₁r²/2+B₂r). The resulting KG equation takes a Schr% \"{o}dinger-like form (with an oscillator plus a linear plus a Coulomb-like interactions potential) that admits a solution in the form of biconfluent Heun functions/series HB( α ,β ,γ ,δ ,z)% . The usual power series expansion of which is truncated to a polynomial of \ order nᵣ+1=n≥ 1 through the usual condition γ =2( nᵣ+1) +α. However, we use the very recent recipe suggested by Mustafa {1.29} as an alternative parametric condition/correlation. i.e., δ =-β ( 2nᵣ+α +3), to facilitate conditional exact solvability of the problem. We discuss and report the effects of the mixed magnetic field as well as the effects of the G\"{o}del-type SR-spacetime background on the KG-oscillators' spectroscopic structure.