Artin formalism for p-adic L-functions of modular forms at non-ordinary primes

Let p be an odd prime number. Let f be a normalized Hecke eigen-cuspform that is non-ordinary at p. Let K be an imaginary quadratic field in which p splits. We study the Artin formalism for the two-variable signed p-adic L-functions attached to f over K. In particular, we give evidence of a prediction made by Castella--Ciperiani--Skinner--Sprung.