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An idea of the deformed boson scheme developed by the present authors isapplied to the case of boson-pair coherent state. In this state, even and oddboson number difference is stressed and various concrete examples of theboson-pair coherent states are shown. Concerning some of them, mutual relationsare investigated in connection to the su(1,1)-algebra. A formulation in termsof the MYT boson mapping is also performed.

Deformed Boson Scheme Stressing Even-Odd Boson Number Difference. I: Various Forms of Boson-Pair Coherent State