Results 81 to 90 of about 2,576 (164)
Finding the q-Appell Convolution of Certain Polynomials Within the Context of Quantum Calculus
MathematicsThis article introduces the theory of three-variable q-truncated exponential Gould–Hopper-based Appell polynomials by employing a generating function approach that incorporates q-calculus functions.
Waseem Ahmad Khan +4 more
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On hypergeometric Bernoulli numbers and polynomials [PDF]
, 2015 In this note, we shall provide several properties of hypergeometric Bernoulli numbers and polynomials, including sums of products identity, differential equations and recurrence formulas.Comment: 12 ...
Hu, Su, Kim, Min-Soo
core
Laguerre-type general-Appell polynomials
Integral Transforms and Special FunctionsIn this paper, new and general form of Laguerre-type Appell polynomials are introduced by using the Laguerre-type exponential function. For this new polynomial family, we present explicit representation, recurrence relation, lowering and raising operators, differential equation, determinant representation and some other properties.
Zeynep Özat +2 more
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Nuclear Physics BThis article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
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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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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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Two-iterated degenerate Appell polynomials: properties and applications
Arab Journal of Basic and Applied SciencesIn the development of hybrid special polynomials, it is essential to incorporate the monomiality principle, operational rules, and other related properties.
Shahid Ahmad Wani
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Fractal and FractionalThis study introduces a novel generalized class of special polynomials using a fractional operator approach. These polynomials are referred to as the generalized Gould–Hopper–Bell-based Appell polynomials.
Rabeb Sidaoui +6 more
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On Appell-Laguerre polynomials
Journal of Computational and Applied Mathematics, 1993 The author considers so-called Appell-Laguerre polynomials, given explicitly by \[ Q_ n(x;k)=c_ n \sum_{j=0}^ n{(-n)_ j x^ j\over (\alpha+k+1-n)_ j j!} \quad (k,n \in {\mathcal N}). \] He gives a generating function and facts about the simplicity and location of the zeros; for the proofs the author refers to his paper Rodrigues' formula revisited ...
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A Study of the q-Truncated Exponential–Appell Polynomials
MathematicsThis article introduces the 2-variable q-truncated exponential–Appell (q-trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q-trunc. exp.
Francesco Aldo Costabile +2 more
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