Browsing by Author "Usman Ashraf"

Filter results by typing the first few letters
Now showing 1 - 2 of 2
  • No Thumbnail Available
    Item
    Formation and Analysis of Ahlfors Map Integral Equations for the Regions with Multiple
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2021) Usman Ashraf; Sp19-RMT-005; LHR TP 7410; Dr. Kashif Nazar
    This research work elaborates the detailed numerical analysis of the integr equation related to Szegö kernel and Ahlfors map with the assistance Mathematica 12.0. The Ahlfors map and Szegö kernel are both associated to ea other. This is a Fredholm integral equation of second kind via Kerzman-Stein kern where Szegö kernel is the solution of this integral equation. The solution of integr equation is obtained by transforming the integral equations into matrix form aft discretizing. This work presents the computation techniques of Ahlfors map, zeros, boundary values and the interior points of a region under Ahlfors map. Th research construct one new Ahlfors map integral equation with Neumann-ty kernel for the regions with multiple connectivity onto a unit disk. The kernel an non-homogeneous term of this equation contain zeros of Ahlfors map. This integr equations is constructed by a non-homogeneous boundary relationship for t regions with multiple connectivity. The new Ahlfors map integral equation analyzed by parameterizing and discretizing. Discretized integral equations lead
  • No Thumbnail Available
    Item
    Mindfulness, Optimism, and Mental Health of University Students during Covid-19
    (Library Information Services, COMSATS University Islamabad, Lahore Campus, 2018) Usman Ashraf; FA15-BPY-012; Ms. Zainab Raza; LHR TP 6559
    The purpose of the current study was to investigate the relationship between mindfulness, optimism, and mental health of University Students during Covid-19 . It was hypothesized that there is a relationship between mindfulness, optimism, and mental health (anxiety, stress, and depression) of university students. A correlational research design was used in this study. The sample of 224 students (male=89, female=135) was taken from online google form. Different scales were used i.e. Mindfulness Attention Awareness Scale, Optimism Life Orientation Scale and Mental Health DAAS Scale to assess the Mindfulness, Optimism and Mental health in university students. Pearson Product Moment Correlation Analysis and hierarchal regression was used to assess study objectives. According to results, there is negative relationship between optimism and mental health (stress, anxiety, and depression) in university students. Mindfulness negatively predicts stress, anxiety, and depression in university students. Optimism negatively predicts stress and depression in university students. Limitations, implications, and future directions of the current study were discussed.