Results 31 to 40 of about 180,252 (161)

Bispectral Jacobi type polynomials [PDF]

Advances in Applied Mathematics, 2022
23 pages.
Antonio J. Durán, Manuel D. de la Iglesia   +1 more
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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]

, 2016
We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Zeng, Jiang, Loureiro, Ana F., Loureiro, Ana, Ana F. Loureiro, Jiang Zeng, Zeng, J.   +5 more
core   +1 more source

Integral of Legendre polynomials and its properties [PDF]

Mathematics and Computational Sciences
This paper is concerned with deriving a new system of orthogonal polynomials whose inflection points coincide with their interior roots, primitives of Legendre polynomials.
Abdelhamid Rehouma
doaj   +1 more source

Jacobi polynomials [PDF]

, 2022
U ovome radu prezentirani su Jacobijevi polinomi, njihova osnovna svojstva i specijalni slučajevi kao što su Legendreovi, Čebiševljevi i Gegenbauerovi polinomi. Osim toga, pokazana je primjena Jacobijevih polinoma pri računanju momenata nekih neprekidnih
Ribičić Penava, Mihaela, Ujić, Nataša   +1 more
core   +2 more sources

RECURRENCE RELATIONS FOR SOBOLEV ORTHOGONAL POLYNOMIALS

Проблемы анализа, 2020
We consider recurrence relations for the polynomials orthonormal with respect to the Sobolev-type inner product and generated by classical orthogonal polynomials, namely: Jacobi polynomials, Legendre polynomials, Chebyshev polynomials of the first and ...
M. S. Sultanakhmedov
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Zeros of Jacobi and ultraspherical polynomials [PDF]

The Ramanujan Journal, 2021
Suppose $\{P_{n}^{(α, β)}(x)\}_{n=0}^\infty $ is a sequence of Jacobi polynomials with $ α, β>-1.$ We discuss special cases of a question raised by Alan Sokal at OPSFA in 2019, namely, whether the zeros of $ P_{n}^{(α,β)}(x)$ and $ P_{n+k}^{(α+ t, β+ s )}(x)$ are interlacing if $s,t >0$ and $ k \in \mathbb{N}.$ We consider two cases of this ...
Arvesú, J., Driver, K., Littlejohn, L. L.   +2 more
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q-Calculus as operational algebra; pp. 73–97 [PDF]

Proceedings of the Estonian Academy of Sciences, 2009
This second paper on operational calculus is a continuation of Ernst, T. q-Analogues of some operational formulas. Algebras Groups Geom., 2006, 23(4), 354–374. We find multiple q-analogues of formulas in Carlitz, L.
Thomas Ernst
doaj   +1 more source

On the denseness of Jacobi polynomials [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Let X represent either a space C[−1, 1] or , 1 ≤ p < ∞, of functions on [−1, 1]. It is well known that X are Banach spaces under the sup and the p‐norms, respectively. We prove that there exist the best possible normalized Banach subspaces of X such that the system of Jacobi polynomials is densely spread on these, or, in other words, each can be ...
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Parameter Derivatives of the Jacobi Polynomials with Three Variables on the Simplex

MATEC Web of Conferences, 2016
In this paper, an attempt has been made to derive parameter derivatives of Jacobi polynomials with three variables on the simplex. They are obtained via parameter derivatives of the classical Jacobi polynomials Pn(α,β)(x) with respect to their parameters.
Aktaş Rabia
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Jacobi polynomials as generalized Faber polynomials [PDF]

Transactions of the American Mathematical Society, 1990
Let B {\mathbf {B}}
openaire   +1 more source