Results 21 to 30 of about 70,260 (212)

Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlev\'e VI [PDF]

, 2018
We investigate the recurrence coefficients of discrete orthogonal polynomials on the non-negative integers with hypergeometric weights and show that they satisfy a system of non-linear difference equations and a non-linear second order differential ...
Filipuk, Galina, Van Assche, Walter
core   +3 more sources

On Some k-Oresme Polynomials with Negative Indices

Communications in Advanced Mathematical Sciences
In this study, \textit{k-} Oresme polynomials with negative indices, which are the generalization of Oresme polynomials, were examined and defined. By examining the algebraic properties of recently defined polynomial sequences, some important identities
Serpil Halıcı, Elifcan Sayın
doaj   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Centered Polygonal Lacunary Graphs: A Graph Theoretic Approach to p-Sequences of Centered Polygonal Lacunary Functions

Mathematics, 2019
This work is on the nature and properties of graphs which arise in the study of centered polygonal lacunary functions. Such graphs carry both graph-theoretic properties and properties related to the so-called p-sequences found in the study of centered ...
Keith Sullivan, Drew Rutherford, Darin J. Ulness   +2 more
doaj   +1 more source

Schur polynomials, banded Toeplitz matrices and Widom's formula

, 2012
We prove that for arbitrary partitions $\mathbf{\lambda} \subseteq \mathbf{\kappa},$ and integers $0\leq ...
Alexandersson, Per
core   +1 more source

The Kontorovich-Lebedev transform as a map between $d$-orthogonal polynomials

, 2012
A slight modification of the Kontorovich-Lebedev transform is an automorphism on the vector space of polynomials. The action of this $KL_{\alpha}$-transform over certain polynomial sequences will be under discussion, and a special attention will be given
Appell, Atakishiyeva, Cheikh, Cheikh, Cheikh, Chihara, Douak, Erdélyi, Gornevelt, Iseghem, Ismail, Koelink, Koornwinder, Koornwinder, Lebedev, Loureiro, Loureiro, Loureiro, Maroni, Maroni, Maroni, Maroni, Maroni, Prudnikov, Prudnikov, Riordan, Sneddon, Srivastava, Toscano, Van Assche, Wimp, Yakubovich, Yakubovich, Yakubovich   +33 more
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Multivariate Bernstein inequalities for entire functions of exponential type in Lp(Rn) $L^{p}(\mathbb{R}^{n})$ (0

Journal of Inequalities and Applications, 2019
In (Rahman and Schmeisser in Trans. Amer. Math. Soc.
Ha Huy Bang, Vu Nhat Huy, Kyung Soo Rim
doaj   +1 more source

Spectra of some algebras of entire functions of bounded type, generated by a sequence of polynomials

Karpatsʹkì Matematičnì Publìkacìï, 2019
In this work, we investigate the properties of the topological algebra of entire functions of bounded type, generated by a countable set of homogeneous polynomials on a complex Banach space. Let $X$ be a complex Banach space. We consider a subalgebra $
S.I. Halushchak
doaj   +1 more source

Preferences for Posttraumatic Osteoarthritis Prevention Strategies in Individuals With Anterior Cruciate Ligament Injury

Arthritis Care &Research, EarlyView.
Objective There is growing interest in evaluating new strategies to delay or prevent posttraumatic osteoarthritis (PTOA) in individuals who have sustained anterior cruciate ligament (ACL) injury. This study sought to determine characteristics of potential treatments that are acceptable to patients with ACL injury. Methods Participants with a history of
Kevin Kennedy, Lily Waddell, Adam Easterbrook, Jeffrey N. Katz, Cale Jacobs, Morgan Jones, Faith Selzer, Elena Losina, Liana Fraenkel, Nick Bansback   +9 more
wiley   +1 more source

Central factorials under the Kontorovich-Lebedev transform of polynomials

, 2012
We show that slight modifications of the Kontorovich-Lebedev transform lead to an automorphism of the vector space of polynomials. This circumstance along with the Mellin transformation property of the modified Bessel functions perform the passage of ...
Abramowitz M., Ana F. Loureiro, Ben Cheikh Y., Butzer P. L., Charalambides Ch. A., Chihara T. S., Cigler J., Erdélyi A., Gelineau Y., Gessel I. M., Kontorovich M. I., Lebedev N. N., Lebedev N. N., Liu G. D., Loureiro A. F., Maroni P., Olver F. W., Prudnikov A. P., S. Yakubovich, Sloane N. J., Sneddon I. N., Van Iseghem J., Yakubovich S. B., Zhang W.   +23 more
core   +1 more source