Results 31 to 40 of about 3,760,531 (362)

Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials [PDF]

, 2014
In this paper we prove in a constructing way that exceptional Charlier, Meixner, Hermite and Laguerre polynomials satisfy higher order recurrence relations. Our conjecture is that the recurrence relations provided in this paper have minimal order.
Antonio J. Dur'an
semanticscholar   +1 more source

Closed-form solution of a general three-term recurrence relation [PDF]

Advances in Differential Equations, 2013
We present a closed-form solution for n th term of a general three-term recurrence relation with arbitrary given n-dependent coefficients. The derivation and corresponding proof are based on two approaches, which we develop and describe in detail. First,
I. Gonoskov
semanticscholar   +1 more source

Extension of exton's hypergeometric function K16

Cubo, 2021
The purpose of this article is to introduce an extension of Exton's hypergeometric function K16 by using the extended beta function given by Özergin et al. [11].
Ahmed Ali Atash, Maisoon Ahmed Kulib
doaj   +1 more source

Recurrence relations and Benford’s law [PDF]

Statistical Methods & Applications, 2020
Version 1.0, 24 pages, 1 ...
Madeleine Farris, Noah Luntzlara, Steven J. Miller, Lily Shao, Mengxi Wang   +4 more
openaire   +3 more sources

Two Nice Determinantal Expressions and A Recurrence Relation for the Apostol--Bernoulli Polynomials

, 2017
In the paper, the authors establish two nice determinantal expressions and a recurrence relation for the Apostol--Bernoulli polynomials.
Feng Qi (祁锋), Bai-Ni Guo (郭白妮)
semanticscholar   +1 more source

Relational Thinking of College Students in Solving Recurrence Relation Problems Using Hanoi Tower Props

Prisma Sains: Jurnal Pengkajian Ilmu dan Pembelajaran Matematika dan IPA IKIP Mataram, 2021
The purpose of this study is to describe how college students with visual, auditory, and kinaesthetic learning style think relationally in solving recurrence relation problems using the tower of Hanoi.
Nur Fitriyah Indraswari, Fitriana Minggani   +1 more
doaj   +1 more source

On the Song recurrence relation for the Riemann zeta function

, 2017
In this paper, the author uses the generating function for the Bernoulli numbers in order to obtain a new proof for a known linear recurrence relation of the Riemann zeta function with even integer arguments, .2n/. 2010 Mathematics Subject Classification:
M. Merca
semanticscholar   +1 more source

Recurrence relation for relativistic atomic matrix elements

, 2000
Recurrence formulae for arbitrary hydrogenic radial matrix elements are obtained in the Dirac form of relativistic quantum mechanics. Our approach is inspired on the relativistic extension of the second hypervirial method that has been succesfully ...
A L Salas-Brito, Bjorken J D, Blanchard P, Bluhm R, Constantinescu F, De Lange O L, Grant I P, Greiner W, H N Núñez-Yépez, Kobus J, Martínez-y-Romero R P, Martínez-y-Romero R P, Moss R E, Núñez-Yépez H N, Pasternack S, Quiney H M, R P Martínez-y-Romero   +16 more
core   +1 more source

Proof of a stronger version of the AJ conjecture for torus knots

, 2013
For a knot $K$ in $S^3$, the $sl_2$-colored Jones function $J_K(n)$ is a sequence of Laurent polynomials in the variable $t$, which is known to satisfy non-trivial linear recurrence relations.
Anh T Tran, Lubotzky, Reshetikhin
core   +1 more source

A formal operator involving Fermatian numbers [PDF]

Notes on Number Theory and Discrete Mathematics
In this note, old and new properties of Fermatian numbers _zₙ= (1-zⁿ)/(1-z) are recalled. A new formal operator is defined and some identities and extensions are discussed.
Carlos M. da Fonseca, Anthony G. Shannon
doaj   +1 more source