Results 51 to 60 of about 2,744 (114)

A numerical algorithm for computing the inverse of a Toeplitz pentadiagonal matrix

Journal of Applied Mathematics and Computational Mechanics, 2018
In the current paper, we present a computationally efficient algorithm for obtaining the inverse of a pentadiogonal toeplitz matrix. Few conditions are required, and the algorithm is suited for implementation using computer algebra systems.
B. Talibi, A. Hadj, D. Sarsri
semanticscholar   +1 more source

A Note on a Classical Generating Function for the Jacobi Polynomials [PDF]

, 2005
Mathematics Subject Classification: 33C45.A more general form for a classical generating function for the Jacobi polynomials is given.* Partially supported by Project MM 1305 - National Science Fund, Bulgarian Ministry of Educ ...
Rusev, Peter
core  

Constrained ultraspherical-weighted orthogonal polynomials on triangle

, 2015
We construct Ultraspherical-weighted orthogonal polynomials C (λ,γ) n,r (u, v, w), λ > − 2 , γ > −1, on the triangular domain T, where 2λ + γ = 1. We show C (λ,γ) n,r (u, v, w), r = 0, 1, . . .
Mohammad A. Alqudah
semanticscholar   +1 more source

Iterative solutions to classical second-order ordinary differential equations

Journal of Innovative Technology and Education, 2019
An elementary scheme is detailed for introducing certain basic concepts in the solution of (especially) the basic second-order ordinary differential equations of classical mathematical physics.
W. Robin
semanticscholar   +1 more source

Lacunary generating functions of Hermite polynomials and symbolic methods [PDF]

, 2015
We employ an umbral formalism to reformulate the theory of Hermite polynomials and the derivation of the associated lacunary generating ...
D. Babusci, G. Dattoli, GERMANO, Bruna, MARTINELLI, Maria Renata, P. E. Ricci   +4 more
core  

Efficient scheme for a category of variable-order optimal control problems based on the sixth-kind Chebyshev polynomials

Demonstratio Mathematica
The main goal of the present study is to introduce an operational collocation scheme based on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems involving a variable-order dynamical system (VODS). To achieve this goal,
Sadri Khadijeh, Hosseini Kamyar, Salahshour Soheil, Baleanu Dumitru, Ahmadian Ali, Park Choonkil   +5 more
doaj   +1 more source

Lost in translation [PDF]

in "Advances in Combinatorics", Waterloo Workshop in Computer Algebra W80, Springer (2013), 287--293, 2012
We explain the use and set grounds about applicability of algebraic transformations of arithmetic hypergeometric series for proving Ramanujan's formulae for $1/\pi$ and their generalisations.
arxiv   +1 more source

A (p,v)-Extension of Hurwitz-Lerch Zeta Function and its Properties

, 2018
In this paper, we define a (p, v)-extension of Hurwitz-Lerch Zeta function by considering an extension of beta function defined by Parmar et al. [J. Classical Anal. 11 (2017) 81106].
G. Rahman, K. Nisar, S. Mubeen
semanticscholar   +1 more source

Remarks on orthogonal polynomials with respect to varying measures and related problems

, 1992
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 2, Page 255-258, 1993.
Xin Li
wiley   +1 more source

On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform [PDF]

arXiv, 2019
Notions of the orthogonality and convolution orthogonality are explored with the use of the Kontorovich-Lebedev transform and its convolution. New classes of the corresponding orthogonal polynomials and functions are investigated. Integral representations, orthogonality relations and explicit expressions are established.
arxiv