in this paper, some results of singh, gopalakrishna and kulkarni (1970s) have been extended to higher order derivatives. it has been shown that, if $sumlimits_{a}theta(a, f)=2$ holds for a meromorphic function $f(z)$ of finite order, then for any positive integer $k,$ $t(r, f)sim t(r, f^{(k)}), rrightarrowinfty$ if $theta(infty, f)=1$ and $t(r, f)sim (k+1)t(r, f^{(k)}), rrightarrowinfty$ if $th...

background : iodine deficiency produces the spectrum of iodine deficiency disorders (idds) including endemic goiter, hypothyroidism, cretinism and congenital anomalies. other factors, including goitrogens and micronutrient deficiencies may influence the prevalence and severity of idds and response to iodine supplementation. an ssociation between zinc and goiter has previously been reported. met...

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