Results 31 to 40 of about 1,802,704 (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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On certain generalized q-Appell polynomial expansions [PDF]
, 2014 We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol–Bernoulli and Apostol–Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles.
Ernst, Thomas
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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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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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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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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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Approximation of Multiple Stancu‐Type Bernstein Operators
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we introduce a new class of multiple Stancu‐type Bernstein operators defined via Beta function based integral modification. We study their approximation properties and establish uniform convergence by means of Korovkin′s theorem under suitable conditions on the parameter αη.
Mehmet Ali Özarslan +3 more
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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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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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Finding identities and q-difference equations for new classes of bivariate q-matrix polynomials
Applied Mathematics in Science and EngineeringThis article introduces 2-variable q-Hermite matrix polynomials and delves into their complex representation, unravelling specific outcomes. The exploration encompasses the derivation of insightful identities for the q-cosine and q-sine analogues of the ...
Subuhi Khan, Hassan Ali, Mohammed Fadel
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