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Bardet Biedl Syndrome (BBS) is an infrequent ciliopathic autosomal recessive genetic disorder that produces many effects and affects various body systems. Consanguineous marriage is conventionally considered as the most frequent etiology. The primary characteristics of the disorder are gradual visual impairment caused by retinal abnormalities, excessive weight gain, learning disabilities, Postaxial Polydactyly, Hypogonadism in males, renal abnormalities (kidney malformations and/or malfunctions). It affects both males and females. There is currently no specific cure for BBS but children with BBS benefit greatly from therapies like physical, occupational, speech and vision services. We, here, have presented a young boy of 15 years with the features of Bardet Biedl Syndrome.

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If P (z) = anz n + n j=µ a n−j z n−j , 1 µ n, is a polynomial of degree n having all its zeros in |z| k, k 1, then it was recently claimed by K. K. Dewan, Naresh Singh, Abdullah Mir [Extensions of some polynomial inequalities to the polar derivative, J. Math. Anal. Appl. 352 (2009), 807-815] that for every real or complex number α, with |α| k µ ,where m = min |z|=k |P (z)|, DαP (z) is a polar derivative of P (z) with respect to the point α ∈ C and Aµ is given by (1.11). The proof of this result is not correct. In this paper, we present certain more refined results which not only provides a correct proof of above inequality as a special case but also yields a refinement of above and other related result.

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