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In a recent paper, Prof. Whittaker has shown that Mathieu functions satisfy the following recurrence formulae :
i ωn(x)ce1x(ix)+σn(x)cen(ix)=μncen-1(ix)…….(1)
i ρn(x)ce1x(ix)+Τn(x)cen(ix)=υucen+1(ix)…….(2)
where μn and Vnare constants.