الأسس والقرائن المنهجية الحديثية لتحقق العلم بالخبر: دراسة استقرائية في مصادر المصطلح وأقوال النقّاد

        The research methodology represents a scientific feature that highlights its manifestations and its fruits according to the nature and results of the methodology; this shows the intellectual contribution and impact on the advancement of human civilization in the scientific field.  The methodology of Muhaddithin provided an innovative and practical approach about the certainty of narations which they had devised and applied.           The question is: what is the way to document the narrations? To answer this question needs to refer to the books of sciences of Hadith, and when looking at these books shows that they are addressing this issue under different topics.           But the knowledge of narrations in terms of the factors pertaining to certainty is not covered in special sub title, but there are hints scattered in different places in the books of sciences of Hadith. There is still a need to address the issue comprehensively in all aspects relating the factors of certainty, Hence the goal of the research from the next two points 1- Exploration the foundations and factors pertaining to the certainty about the narrations. 2- Highlight the methodological innovation according to Muhaddithin in this regard. The purpose of this article is to provide a comprehensive overview of Methodological Bases and warranting Circumstances for Sunnah Authentication.

Generalized Close-To-Convex Functions and Related Topics

Aim of this thesis is to introduce and study properties of certain new subclasses of analytic functions in the open unit disc. The concepts of q-calculus are used to define the q-extensions of starlike and close-to-convex functions. “q-Bernardi Integral Operator’’ which is the advancement of well-known Bernardi integral operator is investigated. It is shown that our newly defined classes are invariant under this integral operator. Further, Ordinary fractional derivative operator and q-fractional derivative operator are used to study certain interesting properties of these classes. The idea of qbounded radius rotation and the behavior of starlike functions of negative order with negative coefficients involving q-difference operator is also examined. The relevant connections of our new classes and results to known ones are also pointed out.