TY - BOOK AU - Eid Hassan Doha AU - Charles W. Clenshaw , TI - recurrences and explicit formulae for the expansion and connection coefficients in series of classical continuos, discrete and quantum orthogonal polynomials and their applications for spectrally solving differential, difference, q-difference and fractional equations / PY - 2017/// CY - Cairo : PB - Eid Hassan Doha , KW - Connection Coefficients KW - Expansion Coefficients KW - Recurrence relations N1 - Thesis (D.Sc.) - Cairo University - Faculty of Science - Department of Mathematics; Issued also as CD N2 - The work presented in this thesis is concerned with the following two major subjects: (i)The construction of recurrence relations for the expansion and connection coefficients in series of (classical continuous, discrete and quantum) orthogonal polynomials. (ii)Spectral methods for solving ordinary and partial differential equations (with integral or fractional orders) by using (classical continuous, discrete and quantum) orthogonal polynomials UR - http://172.23.153.220/th.pdf ER -