Results 61 to 70 of about 214 (120)

Quantum and electrostatic models of Chebyshev polynomials of type IV

Demonstratio Mathematica
In this work, we study the Chebyshev polynomials of the fourth kind as solutions of a singular Sturm–Liouville problem and establish their differential, orthogonality, and extremal properties. We derive a Rodrigues-type formula and a generating function,
Toribio-Milane Juan, Renato-Ortiz Junior, Rosario-Roche Pablo A.   +2 more
doaj   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This 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
doaj   +1 more source

On the L 2 -norm of Gegenbauer polynomials. [PDF]

Math Sci (Karaj), 2022
Ferizović D.
europepmc   +1 more source

Hermite Polynomials and the Zero-Distribution of Riemann's Zeta Function

, 2010
AMS Subject Classification 2010: 11M26, 33C45, 42A38.Necessary and sufficient conditions for absence of zeros of ζ(s) in the half-plane σ ... Expansion of holomorphic functions in series of Hermite polynomials ..
Rusev, Peter
core  

An electrostatic interpretation of zeros of Hermite-type orthogonal polynomials [PDF]

, 2003
14 pages, no figures.-- MSC2000 codes: Primary 42C05, secondary 33C45.MR#: MR2018950 (2004j:42021)Interpretation electrostatic of the distribution of the zeros of the Hermite-type orthogonal polynomials which are orthogonal with respect to a perturbation
Marcellán Español, Francisco José, Garrido, Ángeles   +1 more
core   +2 more sources

Random Fibonacci Words via Clone Schur Functions

Forum of Mathematics, Sigma
We 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
doaj   +1 more source

Generalised Kolmogorov-Petrovskii-Piskunov equation of fractional order: Power series and shifted Legendre collocation methods

Partial Differential Equations in Applied Mathematics
The 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, Abayomi Samuel Oke   +1 more
doaj   +1 more source

Performance and rigorous analysis of Jacobi weighted residual schemes for a class of singular Volterra integro-differential models containing dual delays

Journal of Taibah University for Science
In this study, we analyze two types of Jacobi weighted residual techniques (namely, spectral and pseudo-spectral) for handling Volterra integro-differential models that feature two categories of state-dependent fading delays (linear as well as nonlinear)
Shanjun Chen, Emran Tohidi, Yin Yang
doaj   +1 more source

A derivative-based extension of Gegenbauer polynomials in two variables

Nuclear Physics B
In 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
doaj   +1 more source

Върху един метод на сумиране, дефиниран чрез полиномите на Ермит

, 2012
Георги С. Бойчев - В статията се разглежда метод за сумиране на редове, дефиниран чрез полиномите на Ермит. За този метод на сумиране са дадени някои Тауберови теореми.A summability method, defined by mean of the Hermite polynomials, is proposed.
Boychev, Georgi
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