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We report the masses of $B$ and $D$ sectors heavy-flavoured mesons obtainedby using our recently developed meson wave function employing potential modelapproach with linear confinement term in potential as parent in theperturbation method. As the wave-function involves infinite Airy's polynomialseries, in carrying out the mass calculation, to avoid divergences, we haveintroduced some cut-off parameter for inter-quark separation. Our results forground state masses of heavy-flavoured $B$ and $D$ sector mesons are reasonablycloser to the PDG masses.

Masses of Heavy Flavour Mesons in a potential Model Approach with Wave Function containing Airy's Infinite Series