The Bayer designations k Eridani and K Eridani are distinct.
The designation k Eridani is sometimes used by the star τ9 Eridani. Johann Bode used the designation for three stars instead, two of them now in Taurus: k1 Eridani (44 Eri) k2 Eridani (45 Eri) k3 Eridani (HD 29335)
The three stars designated K Eridani are all currently in Fornax: K1 Eridani (ψ For) K2 Eridani (HD 18377) K3 Eridani (HD 18546)
All of these designations are currently disused.
References