الاستحسان وحجيته في التشريع الاسلامي

Due to the requirement of Muslim Ummah in current issues a few rules were added in Islamic Jurisprudence. Among these new added rules is Al-Istehsan. The article discussed this rule covering the points given below: - Various definitions ofAl-Istehsan and its explanation. - Five types; Istehsan by nuss, Istehsan by ijmaa, Istehsan by urf, Istehsan by need, istehsan by qiyas. - Authenticity of Al-Istehsan by citing different opinions of the scholars. - Difference between Al-Istehsan and qiyas

Generalized Bazilevic and Related Functions

In this thesis, we define and analyze some new classes related with generalized Bazilevic functions. We use different techniques and tools to introduce these classes including Robertson functions, integral operator, convolution operator, real and the complex order and differential subordination. These classes are thoroughly analyzed by studying their coefficient bounds, arc length problem, coefficient difference problem, integral representation, inclusion results, radius problems, maximum value of the modulus, the rate of Hankel determinant and Fekete Szego inequality of one of our defined class. We show that the class of generalized Bazilevic function is preserved under the Bernardi integral operator. The study of special cases for the different choices of parameter is also a part of our work. We establish a sound connection of our proved work with already existing results available in literature.