https://hspublishing.org/ASRP/issue/feedApplied Sciences Research Periodicals2025-11-05T18:48:13+00:00Faruk Sobanoffice@headstartnetwork.orgOpen Journal Systems<p><strong><em>Applied Sciences Research Periodicals (ASRP)</em></strong> is an open access and peer-reviewed international journal. It focuses on using scientific knowledge and principles to solve practical problems in real-world settings.</p> <p>ASRP covers multidisciplinary fields that encompasse a broad range of subjects, including engineering, technology, medicine, and agriculture, among others. The goal is to create innovative solutions to practical problems, improve existing technologies, and optimize processes to increase efficiency and productivity. Researcher in this field is aimed at working in collaboration with industry, government, and other stakeholders to translate scientific knowledge into practical applications that benefit society.</p>https://hspublishing.org/ASRP/article/view/1110Asymptotics and Fourier Expansions of the Sequence of Linear Factor of Polynomials Orthogonal with Gegenbauer-Sobolev Inner Product2025-09-23T15:43:46+01:00Abdalgadir Albushramuss.yousif3@gmail.comMusa Siddigmuss.yousif3@gmail.comAmani Elseidmuss.yousif3@gmail.comAbdelrehaman Mohamsdmuss.yousif3@gmail.com<p>For monic polynomials orthogonal to the non-discrete Sobolev inner product, let <img src="https://hspublishing.org/public/site/images/msiddig/mceclip0.png" width="95" height="25">show the sequence of quadratic factors. <img src="https://hspublishing.org/public/site/images/msiddig/mceclip1.png" width="168" height="34">. Where <img src="https://hspublishing.org/public/site/images/msiddig/mceclip2.png" width="116" height="20"> with <img src="https://hspublishing.org/public/site/images/msiddig/mceclip3.png" width="110" height="23"> . Both Sobolev norms of <img src="https://hspublishing.org/public/site/images/msiddig/mceclip4.png" width="37" height="26">and a Mehler-Heine type formula with a strong asymptotic on are obtained. Additionally, we look for the necessary conditions for norm convergence and the reasons for the norm convergence of a Fourier expansion, specifically with regard to the Sobolev orthogonal polynomials.</p>2025-11-06T00:00:00+00:00Copyright (c) 2025 Abdalgadir Albushra, Musa Siddig, Amani Elseid, Abdelrehaman Mohamsdhttps://hspublishing.org/ASRP/article/view/1175Intrinsic Fermi Energy Level in Materials Having a Bandgap 2025-10-29T05:49:31+00:00Ravi Kumar Chananaravikumarchanana@yahoo.co.in<p>This brief review mainly highlights the applications of the determined intrinsic Fermi energy level in semiconductors and insulator materials. The electrical properties of a Metal-Oxide-Semiconductor (MOS) device designed on any parabolic semiconductor and having SiO<sub>2</sub> as the oxide dielectric, can be calculated theoretically once the intrinsic Fermi energy levels in the semiconductor and the oxide are known. Also, Hetero junction devices can be better designed with this known intrinsic Fermi energy level in materials. </p>2025-11-06T00:00:00+00:00Copyright (c) 2025 Ravi Kumar Chanana