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 /
Eid Hassan Doha
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 / الصيغ التكرارية الصريحة لمعاملات مفاكيك ومعاملات الربط فى متسلسلات كثيرات الحدود الكلاسيكية المتعامدة المتصلة والمتقطعة والكمية وتطبيقاتها لإيجاد الحلول الطيفية للمعادلات التفاضلية المتصلة والفرقية والفرقية-الكمية Eid Hassan Doha ; Supervised Charles W. Clenshaw - Cairo : Eid Hassan Doha , 2017 - Invarious paging : charts ; 30cm
Thesis (D.Sc.) - Cairo University - Faculty of Science - Department of Mathematics
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
Connection Coefficients Expansion Coefficients Recurrence relations
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 / الصيغ التكرارية الصريحة لمعاملات مفاكيك ومعاملات الربط فى متسلسلات كثيرات الحدود الكلاسيكية المتعامدة المتصلة والمتقطعة والكمية وتطبيقاتها لإيجاد الحلول الطيفية للمعادلات التفاضلية المتصلة والفرقية والفرقية-الكمية Eid Hassan Doha ; Supervised Charles W. Clenshaw - Cairo : Eid Hassan Doha , 2017 - Invarious paging : charts ; 30cm
Thesis (D.Sc.) - Cairo University - Faculty of Science - Department of Mathematics
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
Connection Coefficients Expansion Coefficients Recurrence relations