Results 81 to 90 of about 117,000 (133)
On the properties and algebraic features of extended multivariate Hermite-based Appell polynomials
Demonstratio MathematicaThis paper introduces a new family of multivariate Hermite-based Appell polynomials with a one-parameter extension, defined through an appropriate generating function.
Zayed Mohra +4 more
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Umbral Calculus and the Frobenius-Euler Polynomials
Abstract and Applied Analysis, 2013 We study some properties of umbral calculus related to the Appell sequence. From those properties, we derive new and interesting identities of the Frobenius-Euler polynomials.
Dae San Kim, Taekyun Kim, Sang-Hun Lee
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Symbolic Methods Applied to a Class of Identities Involving Appell Polynomials and Stirling Numbers
MathematicsIn this paper, we present two symbolic methods, in particular, the method starting from the source identity, umbra identity, for constructing identities of s-Appell polynomials related to Stirling numbers and binomial coefficients.
Tian-Xiao He, Emanuele Munarini
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Certain Properties and Characterizations of Generalized Gould–Hopper-Based Hybrid Polynomials
MathematicsThis study offers a comprehensive generalization of the Gould–Hopper polynomials and their Appell-type analogs. Employing the quasi-monomiality approach, we delineate fundamental analytical characteristics, including recurrence relations, associated ...
Waseem Ahmad Khan +5 more
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Sheffer and Non-Sheffer Polynomial Families
International Journal of Mathematics and Mathematical Sciences, 2012 By using the integral transform method, we introduce some non-Sheffer polynomial sets. Furthermore, we show how to compute the connection coefficients for particular expressions of Appell polynomials.
G. Dattoli +3 more
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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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Investigating 2-iterated degenerate 2D Appell polynomials and their diverse applications
This research delves into the realm of special polynomials, emphasizing the integration of the monomiality principle alongside operational rules and related properties.
Wani, Shahid Ahmad +3 more
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A characterization of the Rogers q-hermite polynomials
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.
Waleed A. Al-Salam
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A Comprehensive Study on the Class of q-Appell Polynomials [PDF]
, 2015 Doctor of Philosophy in Mathematics. Thesis (Ph.D.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2015. Supervisor: Prof. Dr.
Keleshteri, Marzieh Eini
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AxiomsThis paper explores the operational principles and monomiality principles that significantly shape the development of various special polynomial families.
Awatif Muflih Alqahtani +3 more
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