Results 51 to 60 of about 1,268 (75)
Dual -1 Hahn polynomials and perfect state transfer
, 2011 We find all the $XX$ spin chains with perfect state transfer (PST) that are connected with the dual -1 Hahn polynomials $R_n(x; \alpha,\beta,N)$. For $N$ odd we recover a model that had already been identified while for $N$ even, we obtain a new system ...
AKay +11 more
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Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
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Orthogonalizing q-Bernoulli polynomials
Demonstratio MathematicaIn this study, we utilize the Gram-Schmidt orthogonalization method to construct a new set of orthogonal polynomials called OBn(x,q){{\rm{OB}}}_{n}(x,q) from the q-Bernoulli polynomials.
Kuş Semra, Tuglu Naim
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Random Fibonacci Words via Clone Schur Functions
Forum of Mathematics, SigmaWe investigate positivity and probabilistic properties arising from the Young–Fibonacci lattice $\mathbb {YF}$ , a 1-differential poset on words composed of 1’s and 2’s (Fibonacci words) and graded by the sum of the digits.
Leonid Petrov, Jeanne Scott
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Partial Differential Equations in Applied MathematicsThe classical Kolmogorov-Petrovskii-Piskunov (KPP) equation describes physical phenomena such as combustion, chemical reaction, evolution of dominant genes, and propagation of nerve pulses.
Richard Olu Awonusika +1 more
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A derivative-based extension of Gegenbauer polynomials in two variables
Nuclear Physics BIn this paper, a new class of two-variable Gegenbauer-type polynomials is introduced via a derivative-based construction. The definition incorporates an additional variable through finite sums involving higher-order derivatives of classical Gegenbauer ...
Özge Ada, Esra Erkuş-Duman
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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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On the L 2 -norm of Gegenbauer polynomials. [PDF]
Math Sci (Karaj), 2022 Ferizović D.
europepmc +1 more source
Heat kernels of the discrete Laguerre operators. [PDF]
Lett Math Phys, 2021 Kostenko A.
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Open problem in orthogonal polynomials
, 2018 Using an algebraic method for solving the wave equation in quantum mechanics, we encountered a new class of orthogonal polynomials on the real line. It consists of a four-parameter polynomial with continuous spectrum on the whole real line and two of its
Alhaidari, A. D.
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