Results 21 to 30 of about 1,786 (98)
Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials
Mathematics, 2018 The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
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The different tongues of q-calculus; pp. 81–99 [PDF]
Proceedings of the Estonian Academy of Sciences, 2008 In this review paper we summarize the various dialects of q-calculus: quantum calculus, time scales, and partitions. The close connection between Îq(x) functions on the one hand, and elliptic functions and theta functions on the other hand will be shown.
Thomas Ernst
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The Lazard formal group, universal congruences and special values of zeta functions [PDF]
, 2015 A connection between the theory of formal groups and arithmetic number theory is established. In particular, it is shown how to construct general Almkvist--Meurman--type congruences for the universal Bernoulli polynomials that are related with the Lazard
Tempesta, Piergiulio
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Advances in Mathematical Physics, Volume 2021, Issue 1, 2021., 2021 In this paper, a beta operator is used with Caputo Marichev‐Saigo‐Maeda (MSM) fractional differentiation of extended Mittag‐Leffler function in terms of beta function. Further in this paper, some corollaries and consequences are shown that are the special cases of our main findings.
Tayyaba Manzoor +4 more
wiley +1 more source
Large-order trend of the anomalous-dimensions spectrum of trilinear twist-3 quark operators [PDF]
, 1999 The anomalous dimensions of trilinear-quark operators are calculated at leading twist $t=3$ by diagonalizing the one-gluon exchange kernel of the renormalization-group type evolution equation for the nucleon distribution amplitude.
Bergmann +16 more
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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 the complex q-Appell polynomials
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2020 The purpose of this article is to generalize the ring of \(q\)-Appell polynomials to the complex case. The formulas for \(q\)-Appell polynomials thus appear again, with similar names, in a purely symmetric way. Since these complex \(q\)-Appell polynomials are also \(q\)-complex analytic functions, we are able to give a first example of the \(q\)-Cauchy-
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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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MathematicsIn this paper, by using the zeroth-order q-Tricomi functions, the theory of three-variable q-Legendre-based Appell polynomials is introduced.
Naeem Ahmad, Waseem Ahmad Khan
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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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