Results 101 to 110 of about 19,826 (260)

Solvable Rational Potentials and Exceptional Orthogonal Polynomials in Supersymmetric Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2009
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
doaj   +1 more source

Exceptional orthogonal polynomials and exactly solvable potentials in position dependent mass Schroedinger Hamiltonians

, 2009
Some exactly solvable potentials in the position dependent mass background are generated whose bound states are given in terms of Laguerre- or Jacobi-type $X_1$ exceptional orthogonal polynomials.
Alhaidari, B. Midya, B. Roy, Bachelet, Bagchi, Bagchi, Bagchi, Bagchi, Bagchi, Bagchi, Bagchi, Barranco, BenDaniel, Bhattacharjee, Bois, Cooper, Cruz, de Souza Dutra, de Souza Dutra, Dekar, Foulkes, Ganguly, Ganguly, Geller, Gomez-Ullate, Gomez-Ullate, Gönül, Gönül, Gönül, Koc, Koc, Kock, Levai, Luttinger, Milanovic, Milanovic, Plastino, Preston, Puente, Quesne, Quesne, Rosencher, Roy, Roy, Samani, Serra, Slater, Todorovic, Von Roos, Wannier, Yu, Yu, Zhu   +52 more
core   +1 more source

An optimization method for studying fractional-order tuberculosis disease model via generalized Laguerre polynomials. [PDF]

Soft comput, 2023
Avazzadeh Z, Hassani H, Agarwal P, Mehrabi S, Ebadi MJ, Dahaghin MS.   +5 more
europepmc   +1 more source

New Laguerre-polynomials’ generating functions derived by virtue of operator Hermite-polynomial method and entangled state representation

AIP Advances
In this paper, we derive two new generating functions of Laguerre-polynomials, which look like the negative binomial theorem for the Laguerre function Lnx, by adopting the bi-partite entangled state representation and the operator-Hermite-polynomial HnX ...
Ke Zhang, Hong-Yi Fan
doaj   +1 more source

TMDs in Laguerre polynomial basis [PDF]

, 2014
Alexey Vladimirov
openalex   +1 more source

A new class of generalized polynomials associated with Milne-Thomson-based poly-Bernoulli polynomials

Miskolc Mathematical Notes
Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other field of applied mathematics, a variety of polynomials and numbers with their variants and ...
Waseem Ahmad Khan, Divesh Srivastava, Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

Expressing Sums of Finite Products of Chebyshev Polynomials of the Second Kind and of Fibonacci Polynomials by Several Orthogonal Polynomials

Mathematics, 2018
This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim, Dae San Kim, Jongkyum Kwon, Dmitry V. Dolgy   +3 more
doaj   +1 more source

The relativistic Laguerre polynomials

Rendiconti di Matematica e delle Sue Applicazioni, 1996
The main topic, in the opinion of the reviewer, is found in the last part of the recent paper: the polynomials considered here are not new, as the author calls them, they are special cases of the well known Jacobi polynomials, and consequently all properties derived in the paper (representation by hypergeometric functions, explicit polynomial ...
openaire   +3 more sources

Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials

Mathematics, 2019
In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim, Dmitry V. Dolgy, Dojin Kim, Taekyun Kim   +3 more
doaj   +1 more source

Laguerre polynomials and the inverse Laplace transform using discrete data [PDF]

, 2007
Tran Ngoc Lien, Dang Duc Trong, Alain Pham Ngoc Dinh   +2 more
openalex   +1 more source