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A function can be expanded in a sine series if and only if it is odd. So, any polynomial in your function(s) with all exponents odd and all coefficients positive will satisfy your criterion.
A function can be expanded in a sine series if and only if it is odd. So, any polynomial with all exponents odd and all coefficients positive will satisfy your criterion.
A function can be expanded in a sine series if and only if it is odd. So, any polynomial in your function(s) with all exponents odd and all coefficients positive will satisfy your criterion.
A function can be expanded in a sine series if and only if it is odd. So, any polynomial with all exponents odd and all coefficients positive will satisfy your criterion.