Recurrences and explicit formulae for the expansion and connection coefficients in series of Bessel polynomials EH Doha, HM Ahmed Journal of Physics A: Mathematical and General 37 (33), 8045, 2004 | 33 | 2004 |
Tau and Galerkin operational matrices of derivatives for treating singular and Emden–Fowler third-order-type equations WMAEHM Ahmed International Journal of Modern Physics C, 2022 | 30 | 2022 |
Explicit formulae for the coefficients of integrated expansions of Laguerre and Hermite polynomials and their integrals EH Doha, HM Ahmed, SI El-Soubhy Integral Transforms and special functions 20 (7), 491-503, 2009 | 23 | 2009 |
New fractional derivative expression of the shifted third‐kind Chebyshev polynomials: application to a type of nonlinear fractional pantograph differential equations YH Youssri, WM Abd-Elhameed, HM Ahmed Journal of Function Spaces 2022 (1), 3966135, 2022 | 22 | 2022 |
Linearization formulae for certain Jacobi polynomials WM Abd-Elhameed, EH Doha, HM Ahmed The Ramanujan Journal 39, 155-168, 2016 | 22 | 2016 |
The coefficients of differentiated expansions of double and triple Jacobi polynomials E Doha, WM Abd-Elhameed, H Ahmed Bulletin of the Iranian Mathematical Society 38 (3), 739-765, 2012 | 21 | 2012 |
A new generalized Jacobi Galerkin operational matrix of derivatives: two algorithms for solving fourth-order boundary value problems WM Abd-Elhameed, HM Ahmed, YH Youssri Advances in Difference Equations 2016, 1-16, 2016 | 19 | 2016 |
Solutions of 2nd-order linear differential equations subject to Dirichlet boundary conditions in a Bernstein polynomial basis HM Ahmed Journal of the Egyptian Mathematical Society 22 (2), 227-237, 2014 | 15 | 2014 |
Computing expansions coefficients for Laguerre polynomials HM Ahmed INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2020 | 12 | 2020 |
Numerical Solutions for Singular Lane-Emden Equations Using Shifted Chebyshev Polynomials of the First Kind HM Ahmed Contemporary Mathematics, 132-149, 2023 | 11 | 2023 |
Spectral Treatment of High-Order Emden–Fowler Equations Based on Modified Chebyshev Polynomials WM Abd-Elhameed, MS Al-Harbi, AK Amin, H M. Ahmed Axioms 12 (2), 99, 2023 | 10 | 2023 |
Recurrences and explicit formulae for the expansion and connection coefficients in series of classical discrete orthogonal polynomials EH Doha, HM Ahmed Integral Transforms and Special Functions 17 (5), 329-353, 2006 | 10 | 2006 |
Numerical Solutions of Korteweg-de Vries and Korteweg-de Vries-Burger’s Equations in a Bernstein Polynomial Basis HM Ahmed Mediterranean Journal of Mathematics 16 (4), 1-28, 2019 | 9 | 2019 |
On the coefficients of integrated expansions of Bessel polynomials EH Doha, HM Ahmed Journal of computational and applied mathematics 187 (1), 58-71, 2006 | 9 | 2006 |
Recurrence relation approach for expansion and connection coefficients in series of classical discrete orthogonal polynomials HM Ahmed Integral Transforms and Special Functions 20 (1), 23-34, 2009 | 8 | 2009 |
Spectral solutions for the time-fractional heat differential equation through a novel unified sequence of Chebyshev polynomials WM Abd-Elhameed, HM Ahmed AIMS Mathematics 9 (1), 2137-2166, 2023 | 6 | 2023 |
A New First Finite Class of Classical Orthogonal Polynomials Operational Matrices: An Application for Solving Fractional Differential Equations HM Ahmed Contemporary Mathematics (DOI: https://doi.org/10.37256/cm.4420232716) 4 (4 …, 2023 | 6 | 2023 |
New Formulas Involving Fibonacci and Certain Orthogonal Polynomials WM Abd-Elhameed, HM Ahmed, A Napoli, V Kowalenko Symmetry 15 (3), 736, 2023 | 6 | 2023 |
Enhanced shifted Jacobi operational matrices of derivatives: spectral algorithm for solving multiterm variable-order fractional differential equations HM Ahmed Boundary Value Problems 2023 (Article number: 108 (2023)), 2023 | 5 | 2023 |
Recurrence relation approach for expansion and connection coefficients in series of Hahn polynomials EH Doha, HM Ahmed Integral Transforms and Special Functions 17 (11), 785-801, 2006 | 5 | 2006 |