scholarly journals General recurrence‐relation generation scheme for molecular integral evaluation

2020 ◽  
Vol 41 (32) ◽  
pp. 2722-2739
Author(s):  
Bin Gao
Author(s):  
Trygve Helgaker ◽  
Poul Jørgensen ◽  
Jeppe Olsen

Author(s):  
Musraini M Musraini M ◽  
Rustam Efendi ◽  
Rolan Pane ◽  
Endang Lily

Barisan Fibonacci dan Lucas telah digeneralisasi dalam banyak cara, beberapa dengan mempertahankan kondisi awal, dan lainnya dengan mempertahankan relasi rekurensi. Makalah ini menyajikan sebuah generalisasi baru barisan Fibonacci-Lucas yang didefinisikan oleh relasi rekurensi B_n=B_(n-1)+B_(n-2),n≥2 , B_0=2b,B_1=s dengan b dan s bilangan bulat  tak negatif. Selanjutnya, beberapa identitas dihasilkan dan diturunkan menggunakan formula Binet dan metode sederhana lainnya. Juga dibahas beberapa identitas dalam bentuk determinan.   The Fibonacci and Lucas sequence has been generalized in many ways, some by preserving the initial conditions, and others by preserving the recurrence relation. In this paper, a new generalization of Fibonacci-Lucas sequence is introduced and defined by the recurrence relation B_n=B_(n-1)+B_(n-2),n≥2, with ,  B_0=2b,B_1=s                          where b and s are non negative integers. Further, some identities are generated and derived by Binet’s formula and other simple methods. Also some determinant identities are discussed.


2018 ◽  
Vol 17 (1) ◽  
pp. 117-129
Author(s):  
O.E. Ushakova ◽  
◽  
D.Y. Nechipurenko ◽  
A.A. Butylin ◽  
M.A. Panteleev ◽  
...  

2010 ◽  
Vol 114 (37) ◽  
pp. 12068-12079 ◽  
Author(s):  
Ekaterina L. Ratkova ◽  
Gennady N. Chuev ◽  
Volodymyr P. Sergiievskyi ◽  
Maxim V. Fedorov

Mathematics ◽  
2019 ◽  
Vol 7 (9) ◽  
pp. 804
Author(s):  
Ioannis K. Argyros ◽  
Neha Gupta ◽  
J. P. Jaiswal

The semi-local convergence analysis of a well defined and efficient two-step Chord-type method in Banach spaces is presented in this study. The recurrence relation technique is used under some weak assumptions. The pertinency of the assumed method is extended for nonlinear non-differentiable operators. The convergence theorem is also established to show the existence and uniqueness of the approximate solution. A numerical illustration is quoted to certify the theoretical part which shows that earlier studies fail if the function is non-differentiable.


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