Results 111 to 120 of about 4,691 (197)

A New Identity Linking Bernoulli Numbers, Stirling Numbers of the First Kind, and Bessel Numbers of the First Kind

open access: yes
We establish a new identity linking Bernoulli, Stirling (first kind), and Bessel (first kind) numbers: \[ \sum_{k=0}^{n} 2^{\,n-k}\,s(n,k)\,B_k \;=\; \sum_{k=0}^{n} b(n,k)\,\frac{(-1)^k\,k!}{k+1}. \] This parallels the classical Stirling--Bernoulli relation \[ B_n = \sum_{k=0}^{n} S(n,k)\,\frac{(-1)^k\,k!}{k+1}, \] replacing $S(n,k)$ with $s(n,k)$ and $
openaire   +2 more sources

Healthcare professionals' views on barriers, facilitators and optimisation of care for perinatal anxiety: a qualitative investigation. [PDF]

open access: yesBMC Health Serv Res
Hutton U   +12 more
europepmc   +1 more source

Establishing a carnivoran of extensive forests on an intensively managed landscape: Habitat and population establishment. [PDF]

open access: yesPLoS One
Powell RA   +8 more
europepmc   +1 more source

A qualitative evaluation of a novel mHealth physical activity intervention with just-in-time prompts in people living with prediabetes and type 2 diabetes. [PDF]

open access: yesBMC Public Health
Jurkova K   +17 more
europepmc   +1 more source

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