زينب سيد ابراهيم منصور

CURRICULUM VITAE

Z. S. Mansour

January 28, 2014

Name: Zeinab Sayed Ibrahim Mansour Position: Associate Professor .

Permanent Address: Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.

Current Address: Department of Mathematics, Faculty of Science, King Saud University, Riyadh, Saudi Arabia.

E-mail: zsmansour@ksu.edu.sa; zeinabs98@hotmail.com

1. Scienti c Degrees

B. Sc. in Mathematics , 1998, Department of Mathematics, Faculty of Science, Cairo Univer-sity, with grade distinction with honor.

M. Sc., Mathematics, 2002, Department of Mathematics, Faculty of Science, Cairo University. The Master thesis is refereed by Professors Joaquin Bustoz, USA, Arizona state University, and professor Ali Azzam, Suez Canal University.

Ph. D., Mathematics, 2006, Department of Mathematics, Faculty of Science, Cairo University. The dissertation is refereed by Professors W. Hayman, Imperial College London, and G.E. Andrews, The Pennsylvania State University.

2. Positions Held

Demonstrator, 1999{2001, Department of Mathematics, Faculty of Science, Cairo University, Egypt.

Teaching Assistant, 2001{2006, Department of Mathematics, Faculty of Science, Cairo Uni-versity, Egypt.

Assistant Professor, September 2006-March 2012,

Department of Mathematics, Faculty of Science, Cairo University, Egypt.

Associate Professor, April 2012-, Department of Mathematics. Faculty of Science, Cairo uni-versity, Egypt. But I am on leave to Kingdom Saudi Arabia since February 2010.

Assistant professor, February 2010-, December 2013 Department of Mathematics, Faculty of Science, King Saud University, Riyadh, Kingdom of Saudi Arabia.

Associate professor, December 2013-, Department of Mathematics, Faculty of Science, King Saud University, Riyadh, Kingdom of Saudi Arabia.

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3. List of Publications

1. M.H. Annaby and Z.S.I. Mansour. Basic Sturm-Liouville problems. J. Phys. A 38 (2005), no. 17, 3775-3797. Corrigendum: J. Phys. A 39 (2006), no. 27, 8747.

2. M.H. Annaby and Z.S.I. Mansour. On the zeros of basic nite Hankel transforms. J. Math. Anal. Appl. 323 (2006), no. 2, 1091-1103.

3. M.H. Abu Risha, M. H. Annaby, M. E. H Ismail, and Z.S.I. Mansour. Linear q-di erence equations. Z. Anal. Anwend. 26 (2007), no. 4, 481-494.

4. M.H. Annaby and Z.S.I. Mansour. A basic analog of a theorem of P?lya. Math. Z. 258 (2008), no. 2, 363-379.

5. M.H. Annaby and Z.S.I. Mansour. Asymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems. Math. Nachr. 284 (2011), no. 4, 443-470

6. M.H. Annaby and Z.S.I. Mansour. q-Taylor and interpolation series for Jackson q-di erence operators. J. Math. Anal. Appl. 344 (2008) 472-483.

7. Z.S.I. Mansour. Linear sequential q-di erence equations of fractional order. Fract. Calc. Appl. Anal. 12 (2009), no. 2, 159-178.

8. M.H. Annaby and Z.S.I. Mansour . On the zeros of the second and third Jackson q -Bessel functions and their associated q -Hankel transforms. Math. Proc. Cambridge Philos. Soc. 147 (2009), no. 1, 47-67.

9. M.H. Annaby, Z.S.I. Mansour and O. A. Ashour . On reality and asymptotics of zeros of q-Hankel transforms. J. Approx. Theory 160 (2009), no. 1-2, 223-242.

10. M.E.H. Ismail and Z.S.I. Mansour. q-analogues of Freud weights and nonlinear di erence equations. Adv. in Appl. Math. 45 (2010), no. 4, 518-547.

11. M.H. Annaby, Z.S. Mansour , and O.A. Ashour. Sampling theorems associated with biorthog-onal q-Bessel functions. J. Phys. A 43 (2010), no. 29, 295204, 15 pp.

12. H. A. Hassan, M. EL-Shahed, and Z. S.I. Mansour. On the existence of positive solutions of a nonlinear q-di erence equation. Accepted for publication in Fixed Point Theory, January 25, 2011.

13. M.E.H. Ismail, S.J. Johnston, and Z.S.I. Mansour. Structure relations for q-polynomials and some applications. Applicable Analysis 90(2011), Issue 3-4, Special Issue: SI Pages: 747-767.

14. M.H. Annaby and Z.S. Mansour. Asymptotic formulae for eigenvalues and eigenfunctions of q-Sturm-Liouville problems. MATHEMATISCHE NACHRICHTEN, 284(2011), Issue 4, Pages: 443-470.

15. M.H. Annaby, H.A. Hassan, and Z.S.I. Mansour. Sampling Theorems Associated with Singular q-Sturm Liouville Problems, Results in Mathematics, September (2012),Vol.62, Issue 1-2, PP. 121-136.

16. M.H. Annaby, Z.S. Mansour. I.A. Soliman. q-Titchmarsh-Weyl theory: series expansion, Nagoya Math. J., 205 (2012), 67-118.

17. A.El-Guindy and Z.S. Mansour. Functional de nitions for q-analogues of Eulerian functions and applications, Aequat. Math., Springer Basel AG 2012 DOI 10.1007/s00010-012-0141-2.

18. Zeinab S.I. Mansour. Generalization of fractional Leibniz formulae and applications. Advances in Di erence Equations 2013, 2013:29 doi:10.1186/1687-1847-2013-29.

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19. Zeinab S.I. Mansour. q-Fractional calculus for Rubins q-di erence operator. Advances in Di erence Equations 2013, 2013:276 doi:10.1186/1687-1847-2013-276.

20. Zeinab S.I. Mansour. On a Class of Nonlinear Volterra{Fredholm q-integral Equations, to appear in Fract. Calc. Appl. Anal., 2014.

Books.

M.H. Annaby and Z.S. Mansour, q-Fractional Calculus and Equations. Lecture notes in Mathe-matics, Vol. 2056, 2012, Springer.

4. Research interests

The basic topics of the previous research papers and the book as well as the thesis mentioned below are in the following elds in Mathematics.

1. q-series, q-di erence equations, and q-fractional di erence equations.

2. Orthogonal polynomials and special functions.

3. Asymptotics.

5. Journals I worked for as a referee

1. Journal of Approximation Theory.

2. The Proceeding of the International Conference of Numerical Analysis and Applied Mathematics 2008

3. Ramanujan Jouranl of Mathematics.

4. Journal of Fractional Calculus and Applied Analysis.

5. Journal Le Matematiche

6. Bulletin of Mathematical Analysis and Applications.

7 Journal of Fractional Calculus and applications.

8 Applied Mathematics Letters.

6. Editorial Boards

1. Journal of Fractional Calculus and Applications, 2011-present.

.2 Communication in Fractional Calculus Journal, 2012-present

7. Fellowships and Visits

November 1, 2006-January 31, 2007. Research fellowship from Alexandre von Humboldt foun-dation (The new European Islamic Program) in Germany, Kiel, with prof. Mahmoud Annaby. The host professor was Prof. Walter Bergweiler from Christian-Albrechts-University, Kiel-Germany.

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Academic year 2008-2009. Research fellowship from the Binational Fulbright Commission in Egypt to conduct research in University of Central Florida. My a liate professor is Prof. Mourad Ismail.

July 4-20, 2011. Scienti c visit to Professor Mourad E.H. Ismail in City University of Hong Kong, Hong Kong.

August 12-24, 2013. Scienti c visit to Professor Mourad E.H. Ismail in City University of Hong Kong, Hong Kong.

8. Training workshops

21-23 August 2006: A training course in the new direction in teachings:Faculty and Leadership Development Project- Cairo University.

28-31 August 2006: A training course on Scienti c teaching methods:Faculty and Leadership Development Project- Cairo University.

7-9 August 2006: A training course on morals and missions rules: Faculty and Leadership Development Project- Cairo University.

14-16 August 2006: A training course on a ective communications skills:Faculty and Leader-ship Development Project- Cairo University.

4-6 January 2010: A training course on credit hours system: Faculty and Leadership Develop-ment Project- Cairo University.

19-21 September 2010: The preparatory week of University teaching in King Saud University, Riyadh, KSA : Speakers are Professor Elizabeth Hammer and Dr. Jessica Irons.

30-31 July 2011: A training course in E ective Presentation:Faculty and Leadership Develop-ment Project- Cairo University.

6-8 August 2011: A training course in Time& Conference Management: Faculty and Leadership Development Project- Cairo University.

9-11 August 2011: A training course in How to Compete for a Research Fund:Faculty and Leadership Development Project- Cairo University.

13-15 August 2011: A training course in International Publishing of Research:Faculty and Leadership Development Project- Cairo University.

16-18 August 2011: A training course in Strategic Planining:Faculty and Leadership Develop-ment Project- Cairo University.

9. Conferences

1. The International Conference on Mathematical Analysis and its Applications, ICMAA06, Assuit, Egypt, January, 3-6, 2006.

2. Workshop on Mathematical Analysis and Applications, April 17, 2008, Cairo University, Egypt.

3. The international Fulbright conference on "Equity, Access, Diversity: the Future of Higher Education", Washington DC, April 19{21, 2009.

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4. The 10th International Symposium on Orthogonal Polynomials, Special Functions and Applica-tions(OPSF10). 20{25 July , 2009, Leuven, Belgium.

5.The international Congress of Mathematicians 2010 (ICM2010), 19{27 August 2010, Hydarabad, India.

6. The third symposium of Fractional Calculus and Applications, 27th July 2011, Alexandria University, Alexandria, Egypt.

7. The international workshop on Special Functions and Applications, 20-21 February. 2013, Riyadh, Saudi Arabia.

8. The 12th International Symposium on Orthogonal Polynomial, Special Functions and Applica-tions(OPSF12). 25-29 March, 2013, Sousse, Tunis.

10. Awards

June 6, 2013 . The Scienti c Excellence Award of King Saud University. The best author book(Science and Engineering branch) on my book "On q-fractional calculus and equations", Springer, 2012.

11. Scienti c Activities

I was a co-advisor on the following M. Sc dissertation :

1. O.A. Ashour, Teaching Assistant , Cairo university. M.Sc. 2009, Cairo University. The title of the thesis is " On q-Hankel Transforms On Complex Domains" . The student nished her dissertation and awarded the master degree. Now she works with me on her Ph.D dissertation.

2. Nuha Al-Mutaz, Teaching Assistant, King Saud University. M.SC. 2011, King Saud University. The title of the thesis is \ Nonlinear Abel-Volterra q-Integral Equation".

I taught a course in the Summer School 2009, Mathematics Department, Cairo University, which were sponsored by Egyptian Mathematical Society.

I am a principal investigator on a research project #10-MAT1293-02 on the National Plan of Science & Technology, King Saud University 2011-present.

23-24 May 2012, I was a member of the organizing committee of the second conference on Developing Math Courses on High Education, King Saud University, Saudi Arabia.

20-21 February 2013, I was a member of the organizing committee of the international workshop of Special Functions and Orthogonal Polynomials, Riyadh, Saudi Arabia.

March 2012- ,I am the embassador of ICM2014 (13-21 August), Seoul, Korea.

June 2013- , I am a member of the Scienti c Committee of the 13 Symposium of Special Functions and Orthogonal Polynomials that will be held in Washington DC, 2014.

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12. Scienti c Organizations membership

A member of Siam (Society of industrial and applied mathematics).

A member of Siam activity group of orthogonal polynomials and special functions. A member of the Egyptian mathematical society.

A member of the Saudi Association of Mathematical Science. A member of the American mathematical Society.

A member of TWOWS(third world organization for women in Science)

13. Courses

I tought/teach the following courses in Cairo University during Spring 2007, and the academic year 2007-2008

1. Calculus I, II.

2. Functional analysis

I taught the following courses in the King Saud University(2010-),

1. Calculus II, Calculus III.

2. Complex Analysis .

3. Ordinary di erential equations.

4. Mathematical methods.

5. Fractional Calculus.

6. Partial di erential equations.

7. q-Fractional Calculus.

8. Introduction to real analysis.