Results 11 to 20 of about 92 (89)
Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering [PDF]
Physics Letters A, 2006 We construct explicit representations of the Heisenberg-Weyl algebra [P,M]=1 in terms of ladder operators acting in the space of Sheffer-type polynomials. Thus we establish a link between the monomiality principle and the umbral calculus. We use certain operator identities which allow one to evaluate explicitly special boson matrix elements between the
Blasiak, P. +3 more
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Differential Equations for Classical and Non-Classical Polynomial Sets: A Survey
Axioms, 2019 By using the monomiality principle and general results on Sheffer polynomial sets, the differential equation satisfied by several old and new polynomial sets is shown.
Paolo Emilio Ricci
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A determinantal approach to Sheffer–Appell polynomials via monomiality principle
Journal of Mathematical Analysis and Applications, 2015 The authors have combined the Appell and Sheffer polynomials to introduce Sheffer-Appell polynomials by means of generating function, series definition and determinantal definition. Since any sequence of polynomials is quasi-monomial [\textit{Y. Ben Cheikh}, Appl. Math. Comput. 141, No. 1, 63--76 (2003; Zbl 1041.33008)], the quasi-monomiality operators
Khan, Subuhi, Riyasat, Mumtaz
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Monomiality principle, operational methods and family of Laguerre–Sheffer polynomials
Journal of Mathematical Analysis and Applications, 2012 The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established.
Khan, Subuhi, Raza, Nusrat
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Quasi-Monomiality Principle and Certain Properties of Degenerate Hybrid Special Polynomials
Symmetry, 2023 This article aims to introduce degenerate hybrid type Appell polynomials HQm(u,v,w;η) and establishes their quasi-monomial characteristics. Additionally, a number of features of these polynomials are established, including symmetric identities, implicit summation formulae, differential equations, series definition and operational formalism.
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Construction of a new family of Fubini-type polynomials and its applications
Advances in Difference Equations, 2021 This paper gives an overview of systematic and analytic approach of operational technique involves to study multi-variable special functions significant in both mathematical and applied framework and to introduce new families of special polynomials ...
H. M. Srivastava +5 more
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Certain results on a hybrid class of the Boas–Buck polynomials
Advances in Difference Equations, 2020 This article aims to introduce a hybrid family of 2-variable Boas–Buck-general polynomials by taking Boas–Buck polynomials as a base with the 2-variable general polynomials.
Ghazala Yasmin +2 more
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A new class of Gould-Hopper-Eulerian-type polynomials
Applied Mathematics in Science and Engineering, 2022 In the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials.
Abdulghani Muhyi
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Mathematical and Computer Modelling, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. DATTOLI +2 more
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Bivariate q-Laguerre–Appell polynomials and their applications
Applied Mathematics in Science and EngineeringRecently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel +3 more
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