Results 31 to 40 of about 58 (56)

Efficient scheme for a category of variable-order optimal control problems based on the sixth-kind Chebyshev polynomials

Demonstratio Mathematica
The main goal of the present study is to introduce an operational collocation scheme based on sixth-kind Chebyshev polynomials (SCPs) to solve a category of optimal control problems involving a variable-order dynamical system (VODS). To achieve this goal,
Sadri Khadijeh, Hosseini Kamyar, Salahshour Soheil, Baleanu Dumitru, Ahmadian Ali, Park Choonkil   +5 more
doaj   +1 more source

A new perspective on generalized Laguerre polynomials

Demonstratio Mathematica
This article introduces two-variable polynomials constructed with generalized Laguerre polynomials. The study focuses on deriving generating function relationships, establishing closed-form summation formulas, and proving a symmetry identity for the ...
Erkuş-Duman Esra
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

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

Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials

Open Mathematics
This 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, Zayed Mohra, Nahid Tabinda   +2 more
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

Orthogonalizing q-Bernoulli polynomials

Demonstratio Mathematica
In 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
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

Bivariate q-Laguerre–Appell polynomials and their applications

Applied Mathematics in Science and Engineering
Recently, the monomiality principle has been extended to q-polynomials, namely, the q-monomiality principle of q-Appell polynomials has been considered.
Mohammed Fadel, Nusrat Raza, Ahmed Al-Gonah, Ugur Duran   +3 more
doaj   +1 more source

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

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