Results 61 to 70 of about 4,166,966 (302)
Some remarks regarding the $(p,q)-$Fibonacci and Lucas octonion polynomials
We investigate the $(p,q)-$Fibonacci and Lucas octonion polynomials. The main purpose of this paper is using of some properties of the $(p,q)-$ Fibonacci and Lucas polynomials. Also for present some results involving these octonion polynomials, we obtain
Arzu Özkoç Öztürk, Ayhan Porsuk
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A Note on Bi-Orthogonal Polynomials and Functions
The theory of orthogonal polynomials is well established and detailed, covering a wide field of interesting results, as, in particular, for solving certain differential equations.
Clemente Cesarano
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On Generating Functions of Generating Trees [PDF]
Generating trees are infinite trees that constitute a way to describe many classical combinatorial objects by encoding the choices leading to objects of a given size into paths in a tree of possibilities.
Gardy, Danièle +11 more
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ABSTRACT Background Adult survivors of childhood acute lymphoblastic leukemia (ALL) are at risk of reduced exercise capacity, decreased physical activity levels, persistent fatigue, and neurocognitive deficits. The aim was to investigate exercise capacity and physical activity levels of adult survivors of childhood ALL and their associations with ...
Laura Jess +5 more
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Baryonic generating functions [PDF]
44 pages, 7 figures; fonts ...
Forcella, D +2 more
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Identifying Patterns of Hospitalizations Among Childhood Cancer Survivors: A Population‐Based Study
ABSTRACT Background Childhood cancer survivors (CCSs) experience more hospitalizations than the general population. We aimed to identify distinct hospitalization patterns among Queensland CCSs and the associated characteristics. Methods Cases (aged ≤14 years) diagnosed between 1995 and 2019 while residents of Queensland were identified through the ...
Hai Pham +7 more
wiley +1 more source
ABSTRACT Pediatric refractory immune thrombocytopenia (rITP) is generally characterized by persistent thrombocytopenia and failure to achieve a sustained response to multiple standard therapies. We report a 4‐year‐old female with congenital tufting enteropathy, post‐intestinal transplant patient on immunosuppressants, who developed severe rITP ...
Sarah Hsieh +4 more
wiley +1 more source
On the Distribution of Generating Functions [PDF]
The generating function \(f_P(\alpha)\) associated with the \(k\)th powers is defined by \[ f_P(\alpha)= \sum_{1\leq n\leq P} \exp(i2\pi\alpha n^k). \] For \(\alpha\in (0,1]\), let \(f(\alpha)= P^{-1/2}|f_P(\alpha)|\). It has been conjectured that \[ \int_0^1 f(\alpha)^s d\alpha\sim \Gamma (\tfrac s2+1).
Vaughan, RC, Wooley, TD
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Determinants of some Hessenberg matrices with generating functions
In this paper, we derive some relationships between the determinants of some special lower Hessenberg matrices whose entries are the terms of certain sequences and the generating functions of these sequences.
Leerawat Utsanee, Daowsud Katthaleeya
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ON GENERALIGATIONS OF PARTITION FUNCTIONS
In 1742, Leonhard Euler invented the generating function for P(n). Godfrey Harold Hardy said Srinivasa Ramanujan was the first, and up to now the only, Mathematician to discover any such properties of P(n).
ON GENERALIGATIONS OF PARTITION FUNCTIONS +1 more
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