We use generating functions to express orthogonality relations in the form of q-beta integrals. The integrand of such a q-beta integral is then used as a weight function for a new set of orthogonal or biorthogonal functions. This method is applied to the continuous q-Hermite polynomials, the Al-Salam-Carlitz polynomials, and the polynomials of Szegő and leads naturally to the Al-Salam-Chihara p...

Muhammad Altaf Khan1, ∗, Abdul Wahid2, Saeed Islam3, Ilyas Khan4, Sharidan Shafie5, Taza Gul1 1Department of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, Pakistan 2Department of Mathematics, Islamia College University Peshawar, KP, 25000, Peshawar, Pakistan 3Department of Mathematics, Abdul Wali Khan University Mardan, 23200, Mardan, Pakistan 4College of Engineering Majmaah Un...

This paper is to explain how the fusion of social movements and new media produces movements. The author himself raised #R4bia movement in Egypt around world as a form protest solidarity with leader Egyptian state President Morsi (2012-2013) was overthrown by Abdul Fattah as-Sisi military coup June 2013. symbol became trending topic on various platforms. media. technology not historically value...

Abstract This article examines the work and trajectory of ʿAbd al-Salam al-Diyuri, a Moroccan engineer educated in Egypt who became nationalist writer, editor, publisher during last decade French Protectorate (1912–56). One only few engineers trained Arabic this period, al-Diyuri developed vision modernization rooted popularization technical knowledge that distinguished him from colonial as wel...

Human schistosomiasis is one of the most common Neglected Tropical Diseases (NTDs); it is an intravascular parasite caused by the trematode blood fluke (Schistosoma). Most human infections are caused by S. haematobium, S. mansoni, and S. japonicum. An estimated total of 237 people are infected worldwide, and 732 million people are at risk of being infected. In the Middle East and North Africa (...

We study the monotonicity with respect to a parameter of zeros of orthogonal polynomials. Our method uses the tridiagonal (Jacobi) matrices arising from the three-term recurrence relation for the polynomials. We obtain new results on monotonicity of zeros of associated Laguerre, Al-Salam-Carlitz, Meixner and PoJlaczek polynomials. We also derive inequalities for the zeros of the Al-Salam-Carlit...

Ice nucleation of ammonia gas exposed montmorillonite mineral dust particles A. Salam, U. Lohmann, and G. Lesins Department of Physics and Atmospheric Science, Dalhousie University, Halifax, Canada Department of Chemistry, University of Dhaka, Dhaka – 1000, Bangladesh Institute of Atmospheric and Climate Science, ETH Zurich, Switzerland Received: 23 October 2006 – Accepted: 14 November 2006 – P...

We present a new type of spherically symmetric monopole and dyon solutions with the magnetic charge 4π/e in the standard Weinberg-Salam model. The monopole (and dyon) could be interpreted as a non-trivial hybrid between the abelian Dirac monopole and non-abelian ’t Hooft-Polyakov monopole (with an electric charge). We discuss the possible physical implications of the electroweak dyon. Typeset u...

five carnation cultivars (‘grand salam’, ‘nelson’, ‘kaly’, ‘cinderella’ and ‘tempo’) were evaluated with respect to growth, yield and quality characteristics under lath house conditions at kala shah kaku research station, directorate of floriculture, lahore during 2011. among the cultivars studied, maximum plant height was recorded in carnation cultivar ‘grand salam’ (78.66 cm) closely followed...

An M/string-theory origin for the six-dimensional Salam-Sezgin chiral gauged super-gravity is obtained, by embedding it as a consistent Pauli-type reduction of type I or het-erotic supergravity on the non-compact hyperboloid H 2,2. We can also obtain embeddings of larger, non-chiral, gauged supergravities in six dimensions, whose consistent truncation yields the Salam-Sezgin theory. The lift of...