Publications

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2012
Annaby, M. H., and Z. S. Mansour, "Fractional q-difference equations", q-Fractional Calculus and Equations: Springer, pp. 223-270, 2012. Abstract
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Annaby, M. H., and Z. S. Mansour, "Fractional q-Leibniz Rule and Applications", q-Fractional Calculus and Equations: Springer, pp. 175-199, 2012. Abstract
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Ismail, M. E. H., and Z. S. I. Mansour, Functions of the second kind, , 2012. Abstract
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Mansour, Z. S. I., Generalizations of Rubin’s q 2-fourier transform and q-difference operator, : submitted, 2012. Abstract
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Hassan, H. A., M. El-Shahed, and Z. S. Mansour, "ON THE EXISTENCE OF POSITIVE SOLUTIONS OF A NONLINEAR q-DIFFERENCE EQUATION", FIXED POINT THEORY, vol. 13, issue 2: HOUSE BOOK SCIENCE-CASA CARTII STIINTA 6-8 EROILOR ST, CLUJ-NAPOCA, 400129, ROMANIA, pp. 517-526, 2012. Abstract
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Annaby, M. H., and Z. S. Mansour, "Other q-Fractional Calculi", q-Fractional Calculus and Equations: Springer, pp. 147-173, 2012. Abstract
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Annaby, M. H., and Z. S. Mansour, "q-Difference Equations", q-Fractional Calculus and Equations: Springer, pp. 41-71, 2012. Abstract
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Annaby, M. H., and Z. S. Mansour, Q-fractional Calculus and Equations, , vol. 2056: Springer, 2012. Abstract
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Annaby, M. H., and Z. S. Mansour, "q-Integral Transforms for Solving Fractional q-Difference Equations", q-Fractional Calculus and Equations: Springer, pp. 271-293, 2012. Abstract
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Annaby, M. H., and Z. S. Mansour, "q-Mittag–Leffler Functions", q-Fractional Calculus and Equations: Springer, pp. 201-222, 2012. Abstract
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Annaby, M. H., Z. S. Mansour, and I. A. Soliman, "q-Titchmarsh-Weyl theory: series expansion", Nagoya Mathematical Journal, vol. 205: Cambridge Univ Press, pp. 67-118, 2012. Abstract
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Annaby, M. H., and Z. S. Mansour, "Riemann–Liouville q-fractional calculi", q-Fractional Calculus and Equations: Springer, pp. 107-146, 2012. Abstract
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Annaby, M. H., H. A. Hassan, and Z. S. Mansour, "Sampling theorems associated with singular q-Sturm Liouville problems", Results in Mathematics: Springer, pp. 1-16, 2012. Abstract
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2011
Annaby, M. H., and Z. S. Mansour, "Asymptotic formulae for eigenvalues and eigenfunctions of q‐Sturm‐Liouville problems", Mathematische Nachrichten, vol. 284, issue 4: Wiley Online Library, pp. 443-470, 2011. Abstract
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Annaby, M. H., Z. S. Mansour, and O. A. Ashour, "On the reality and asymptotics of zeros of finite q-Hankel transforms", QNRS Repository, vol. 2011, issue 1: Bloomsbury Qatar Foundation Journals, pp. 1015, 2011. Abstract
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Annaby, M. H., and Z. S. Mansour, "q-Taylor and interpolation series for Jackson q-difference operators", QNRS Repository, vol. 2011, issue 1: Bloomsbury Qatar Foundation Journals, pp. 972, 2011. Abstract
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Ismail, M. E. H., S. J. Johnston, and Z. S. Mansour, "Structure relations for q-polynomials and some applications", Applicable Analysis, vol. 90, issue 3-4: Taylor & Francis, pp. 747-767, 2011. Abstract
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Annaby, M. H., and Z. S. Mansour, "Taylor and interpolation series for Jackson difference operator", QNRS Repository, vol. 2011, issue 1: Bloomsbury Qatar Foundation Journals, pp. 971, 2011. Abstract
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2010
Ismail, M. E. H., and Z. S. I. Mansour, "q-analogues of Freud weights and nonlinear difference equations", Advances in Applied Mathematics, vol. 45, issue 4: Elsevier, pp. 518-547, 2010. Abstract
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Annaby, M. H., Z. S. Mansour, and O. A. Ashour, "Sampling theorems associated with biorthogonal q-Bessel functions", Journal of Physics A: Mathematical and Theoretical, vol. 43, issue 29: IOP Publishing, pp. 295204, 2010. Abstract
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2009
Mansour, Z. S. I., "Linear sequential q-difference equations of fractional order", Fract. Calc. Appl. Anal, vol. 12, issue 2, pp. 159-178, 2009. Abstract
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Annaby, M. H., Z. S. Mansour, and O. A. Ashour, "On reality and asymptotics of zeros of q-Hankel transforms", Journal of Approximation Theory, vol. 160, issue 1-2: Elsevier, pp. 223-242, 2009. Abstract
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Annaby, M. H., and Z. S. Mansour, "On the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transforms", Mathematical Proceedings of the Cambridge Philosophical Society, vol. 147, issue 01: Cambridge Univ Press, pp. 47-67, 2009. Abstract
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2008
Annaby, M. H., and Z. S. Mansour, "A basic analog of a theorem of Pólya", Mathematische Zeitschrift, vol. 258, issue 2: Springer, pp. 363-379, 2008. Abstract
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Annaby, M. H., and Z. S. Mansour, "q-Taylor and interpolation series for Jackson q-difference operators", Journal of Mathematical Analysis and Applications, vol. 344, issue 1: Elsevier, pp. 472-483, 2008. Abstract
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