Results 21 to 30 of about 4,091,594 (313)

Relativistically extended Blanchard recurrence relation for hydrogenic matrix elements [PDF]

open access: yes, 2001
General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements are derived in Dirac relativistic quantum mechanics. Our approach is based on a generalization of the second hypervirial method previously employed in the non ...
A L Salas-Brito   +22 more
core   +3 more sources

Recurrence Relations for Orthogonal Polynomials on Triangular Domains

open access: yesMathematics, 2016
In Farouki et al, 2003, Legendre-weighted orthogonal polynomials P n , r ( u , v , w ) , r = 0 , 1 , … , n , n ≥ 0 on the triangular domain T = { ( u , v , w ) : u , v , w ≥ 0 , u + v + w = 1 } are constructed, where u , v , w
Abedallah Rababah
doaj   +1 more source

A Cox-de Boor-type recurrence relation for C1 multi-degree splines

open access: yesComputer Aided Geometric Design, 2019
Multi-degree splines are piecewise functions comprised of polynomial segments of different degrees. A subclass of such splines, that we refer to as C 1 MD-splines, is featured by arbitrary continuity between pieces of same degree and at most C 1 ...
C. Beccari, G. Casciola
semanticscholar   +1 more source

Binomial Sum Relations Involving Fibonacci and Lucas Numbers

open access: yesAppliedMath, 2023
In this paper, we provide a first systematic treatment of binomial sum relations involving (generalized) Fibonacci and Lucas numbers. The paper introduces various classes of relations involving (generalized) Fibonacci and Lucas numbers and different ...
Kunle Adegoke   +2 more
doaj   +1 more source

Recurrence relations connecting mock theta functions and restricted partition functions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
In this paper, we provide some recurrence relations connecting restricted partition functions and mock theta functions. Elementary manipulations are used including Jacobi triple product identity, Euler's pentagonal number theorem, and Ramanujan's theta ...
M. Rana, H. Kaur, K. Garg
doaj   +1 more source

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

open access: yesPrisma 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   +1 more
doaj   +1 more source

Some Relations on the rRs(P,Q,z) Matrix Function

open access: yesAxioms, 2023
In this paper, we derive some classical and fractional properties of the rRs matrix function by using the Hilfer fractional operator. The theory of special matrix functions is the theory of those matrices that correspond to special matrix functions such ...
Ayman Shehata   +2 more
doaj   +1 more source

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

open access: yes, 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]

open access: yesAdvances 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

Recurrence relations and Benford’s law [PDF]

open access: yesStatistical Methods & Applications, 2020
Version 1.0, 24 pages, 1 ...
Madeleine Farris   +4 more
openaire   +3 more sources

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