let $p$ be an analytic function defined on the open unit disc $mathbb{d}$ with $p(0)=1.$ the conditions on $alpha$ and $beta$ are derived for $p(z)$ to be subordinate to $1+4z/3+2z^{2}/3=:varphi_{c}(z)$ when $(1-alpha)p(z)+alpha p^{2}(z)+beta zp'(z)/p(z)$ is subordinate to $e^{z}$. similar problems were investigated for $p(z)$ to lie in a region bounded by lemniscate of bernoulli $|w^{2}-1...

Abstract Background Prevalence of hereditary blood diseases such as sickle cell anemia, sickle thalassemia and thalassemia major are high in Khuzestan province. Sickle cell anemia and beta-thalassemia are predominantly common in Iranian Arabs. Pulmonary complications account for a large proportion of morbidity and mortality in patients with and sickle cell disease. Periodic lung function asse...