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Comparing Geodesic Filtering to State-of-the-Art Algorithms: A Comprehensive Study and CUDA Implementation. [PDF]
Boulanger P, Bin Hasan S.
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Improving Maximum Tolerated Dose Selection in Model-Assisted Designs for Phase I Trials Through Bayesian Dose-Response Model. [PDF]
Wakayama R, Momozaki T, Ando S.
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Scaling Invariance: A Gateway to Phase Transitions. [PDF]
Leonel ED.
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A note on generalized Fibonacci sequences
Applied Mathematics and Computation, 2011The author proves identities with generalized Fibonacci sequences.
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The generating function of the generalized Fibonacci sequence
In this paper, the authors derive some algebraic relations on the generating functions for generalized Fibonacci sequence \(\{Q_{n}\}_{n=0}^{\infty }\) defined by \(Q_{0}=0,Q_{1}=1,Q_{m}=a_{j}Q_{m-1}+b_{j}Q_{m-2},m\equiv j\pmod k\), where \(k\geq 3\) is a fixed integer and \(a_{0},a_{1},\cdots,a_{k-1},b_{0},b_{1},\cdots,b_{k-1}\) are \(2k\) given real ...
Gonçalves, Armando, Jesus, M. N. de
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Another Generalized Fibonacci Sequence
The Fibonacci Quarterly, 1967Marcellus E. Waddill, Louis Sacks
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∞-Generalized Fibonacci Sequences and Markov Chains
The Fibonacci Quarterly, 2000The authors study the convergence of generalized Fibonacci sequences defined by the recursion \[ V_{n+1}= a_0V_n+ a_1V_{n-1}+\cdots+ a_{s-1}V_{n-s+1}, \] with non-negative coefficients \(a_0,\dots, a_{s-1}\), by first reducing to the case where \(\sum_i a_i=1\) and then using ideas from the theory of Markov chains.
Mouline, Mehdi, Rachidi, Mustapha
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