اسلام اور مغرب کے باہمی اختلافات

The paper endeavors to shed some light on the relationship between Islamic World and the West especially America. Using narative methodology, we examine the concept of clash of civilisation aggressively followed by the Western Philosophers and thinkers and antegnoistic approach towards Muslims and Islamic Way of life, the gulf between the two is widening to an alarming extent. Looking, at this scenario, the paper suggests that emphasis should be laid on inter-cultural complementarity, reframe differences and pursue the cause of peaceful coexistence among the nations of the world.

Some Applications of Convolution Operator in Geometric Function Theory

Geometric Function Theory on comprehensive spectrum deals with the geometric properties of analytic functions. In the study of analytic functions, image domains are of prime importance. Analytic functions are categorized into different classes on the basis of geometry of image domains. The core objective of present research is to study some applications of the convolution operator in Geometric Function Theory. We define some new subclasses of analytic functions by using the convolution operator. Several other operators with reference to these classes also under discussion. Our main focus is to generate some new results like inclusion results, integral preserving properties, arc length, rate of growth of coefficients, necessary condition for univalency, closure under convolution with convex functions and some radii results with the convolution operator. We also use some special functions to study properties of the convolution operator. Some application of this operator related to the conic domains is also discussed. The recently developed techniques that are convolution and differential subordination are used to explore some geometrical and analytical properties. The results obtained in this dissertation are also connected with the previously existing results in the literature of the subject.