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We define the conjugate function of by.
(110). is the conjugate function of.
Its distribution accords with that of Beta conjugate function.
The conjugate function of is the function defined by.
The conjugate function of a function is defined by (2.7).
Then the conjugate function of is given by (4.4).
For a given we define the conjugate function as.
By the definition of conjugate function, it follows that (4.5).
For,, the -harmonic conjugate function of, on is defined by.
We also show that this function does not admit a conjugate function.
In addition, the conjugate function φ(ω m ) is a function of parameter ω m.
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