Results 91 to 100 of about 148,379 (206)

On a class of generalized Laguerre's polynomials [PDF]

Časopis pro pěstování matematiky, 1988
This paper deals with polynomials \(L_ n(x)\) orthonormal with respect to the weight function \(| x|^{2\alpha}(b+x)^{\beta}e^{-x}\) on \((a,+\infty)\), \(a\leq 0\), \(\alpha >0\), \(\beta >0\) and \(b+a>0\). The author uses techniques already known to \textit{J. A. Shohat} [Duke Math. J. 5, 401-417 (1939; Zbl 0021.30802)] to show that the coefficients \
openaire   +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

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

Sylvester equations for Laguerre–Hahn orthogonal polynomials on the real line [PDF]

, 2013
Matrix Sylvester differential equations are introduced in the study of Laguerre–Hahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the Laguerre–Hahn orthogonal polynomials.
Branquinho, A., Paiva, Anabela, Rebocho, M. N., Branquinho, Amílcar, Rebocho, Maria das Neves   +4 more
core   +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

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

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

Laguerre-Type Bernoulli and Euler Numbers and Related Fractional Polynomials

Mathematics
We extended the classical Bernoulli and Euler numbers and polynomials to introduce the Laguerre-type Bernoulli and Euler numbers and related fractional polynomials.
Paolo Emilio Ricci, Rekha Srivastava, Diego Caratelli   +2 more
doaj   +1 more source

Integral representations for the product of certain polynomials of two variables

Ain Shams Engineering Journal, 2013
The main object of this paper is to investigate several integral representations for the product of two polynomials of two variables, e.g. Laguerre, Jacobi, Generalized Bessel, Generalized Rice, Krawtchouk, Meixner, Gottlieb and Poisson–Charlier ...
Mumtaz Ahmad Khan, Abdul Hakim Khan, Sayed Mohammad Abbas   +2 more
doaj   +1 more source

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