Results 61 to 70 of about 6,635 (118)
On polar Legendre polynomials [PDF]
, 2010 10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Urbina, Wilfredo +6 more
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Turan's inequality for appell polynomials [PDF]
, 2006 We give some necessary and sufficient conditions for the class of Appell polynomials to satisfy well-known Turan's inequality. Among the other corollaries, we apply our results to some classes of orthogonal polynomials.
Slavko Simic, Simic Slavko
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On Appell-Laguerre polynomials
, 1993 In this note we give a digest study of Appell-Laguerre polynomials, we provide a recurrence relation and a second-order differential equation satisfied by these polynomials.
Belmehdi, S.
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Closed form expressions for Appell polynomials [PDF]
, 2018 We show that any Appell sequence can be written in closed form as a forward difference transformation of the identity. Such transformations are actually multipliers in the abelian group of the Appell polynomials endowed with the operation of binomial ...
Lekuona, A., Adell, J.A.
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Deformed Bivariate $q$-Appell Polynomials
In this paper, we introduce bivariate polynomial sets of deformed $q$-Appell type, and we study the algebraic properties of these sets. We show the relation between deformed bivariate $q$-Appell polynomials and deformed homogeneous polynomials. Next, we give some of their characterizations and algebraic structure.
openaire +2 more sources
A New Generalization of q-Laguerre-Based Appell Polynomials and Quasi-Monomiality
In this paper, we define a new generalization of three-variable q-Laguerre polynomials and derive some properties. By using these polynomials, we introduce a new generalization of three-variable q-Laguerre-based Appell polynomials (3VqLbAP) through a ...
Naeem Ahmad, Waseem Ahmad Khan
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Appell-Type Functions and Chebyshev Polynomials
, 2019 In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
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Some results on q-Hermite based hybrid polynomials
, 2018 In this article, a hybrid class of the q-Hermite based Apostol type Frobenius-Euler polynomials is introduced by means of generating function and series representation. Several important formulas and recurrence relations for these polynomials are derived
Riyasat, Mumtaz +3 more
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Symmetric q-Appel polynomials via determinantal approches
FilomatThis paper sets out to give a determinantal definition for symmetric q-Appel polynomials (symmetric under the interchange q ?-1 q) and justify some properties in the lights of the new definition.
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Hermite-based Appell polynomials: Properties and applications
, 2008 By employing certain operational methods, the authors introduce Hermite-based Appell polynomials. Some properties of Hermite–Appell polynomials are considered, which proved to be useful for the derivation of identities involving these polynomials.
Khan, Rehana +7 more
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