Results 31 to 40 of about 6,635 (118)
Spectral transformations of the Laurent biorthogonal polynomials. I. q-Appel polynomials
Journal of Computational and Applied Mathematics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vinet, Luc, Zhedanov, Alexei
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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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Analysis Mathematica, 2019 We introduce polynomial sets of $(p,q)$-Appell type and give some of their characterizations. The algebraic properties of the set of all polynomial sequences of $(p,q)$-Appell type are studied. Next, we give a recurrence relation and a $(p,q)$-difference equation for those polynomials.
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On The Class Of $2D$ $q$-Appell Polynomials
, 2015 In this research, as the new results of our previously proposed definition for the new class of $2D$ $q$-Appell polynomials, we derive some interesting relations including the recurrence relation and partial $q$-difference equation of the aforementioned family of $q$-polynomials.
Keleshteri, Marzieh Eini +1 more
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A class of big (p,q)-Appell polynomials and their associated difference equations
Filomat, 2019 In the present paper, we introduce and investigate the big (p,q)-Appell polynomials. We prove an equivalance theorem satisfied by the big (p, q)-Appell polynomials. As a special case of the big (p,q)- Appell polynomials, we present the corresponding equivalence theorem, recurrence relation and difference equation for the big q-Appell ...
Srivastava, H. M. +2 more
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Appell polynomials as values of special functions [PDF]
, 2018 We show that there is a large class of Appell sequences {Pn(x)}n=0 ∞ for which there is a function F(s,x), entire in s for fixed x with Rex>0 and satisfying F(−n,x)=Pn(x) for n=0,1,2,….
Navas, L.M. [0000-0002-5742-8679] +5 more
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Some Identities of the Probabilistic Changhee Polynomials and Their Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.Special numbers and polynomials are very important tools in diverse fields such as mathematics, physics, engineering, science, and related disciplines, addressing problems in areas like mathematical physics, numerical analysis, differential equations, fluid dynamics, and quantum mechanics.
Jin-Woo Park +4 more
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Hahn's generalized problem and corresponding Appell sequences [PDF]
, 2008 This thesis is devoted to some aspects of the theory of orthogonal polynomials, paying a special attention to the classical ones (Hermite, Laguerre, Bessel and Jacobi).
Loureiro, Ana F.
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On monomiality property of q-Gould-Hopper-Appell polynomials
Arab Journal of Basic and Applied SciencesRecently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials.
Nusrat Raza, Mohammed Fadel, Subuhi Khan
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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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