Results 71 to 80 of about 1,334 (164)

Temperature Alters Specificity in a Host–Parasite Interaction

Ecology and Evolution, Volume 16, Issue 7, July 2026.
The Red Queen Hypothesis predicts that host–parasite coevolution maintains genetic variation through strong genetic specificity, but this specificity may be sensitive to environmental conditions. Using Meloidogyne arenaria and its parasite Pasteuria penetrans, we tested host–parasite interactions across three temperatures and found specificity at two ...
Abbey Ramirez, Amanda Gibson
wiley   +1 more source

Passive acoustic monitoring with AI‐based detection and identification reveal sooty grouse hooting patterns in western Oregon

Wildlife Biology, Volume 2026, Issue 4, July 2026.
Many bird species are monitored using auditory point count surveys during the breeding season. Autonomous recording units (ARUs) can be used to better understand the daily and seasonal timing of when a species is vocalizing, which can help align surveys with the time period when the maximum number of individuals are present. We used ARUs to improve our
K. M. Walton, S. J. K. Frey, C. E. Christensen, M. L. Cline, L. E. Gramberg, J. B. Dinkins   +5 more
wiley   +1 more source

Three closed forms for convolved Fibonacci numbers

Results in Nonlinear Analysis, 2020
In the paper, by virtue of the Faà di Bruno formula and several properties of the Bell polynomials of the second kind, the author computes higher order derivatives of the generating function of convolved Fibonacci numbers and, consequently, derives three
Feng Qi
doaj  

Exponential Polynomials, Stirling Numbers, and Evaluation of Some Gamma Integrals

Abstract and Applied Analysis, 2009
This article is a short elementary review of the exponential polynomials (also called single-variable Bell polynomials) from the point of view of analysis. Some new properties are included, and several analysis-related applications are mentioned.
Khristo N. Boyadzhiev
doaj   +1 more source

Exploring probabilistic Bernstein polynomials: identities and applications

Applied Mathematics in Science and Engineering
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius–Euler
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

BELL PERMUTATIONS AND STIRLING NUMBERS INTERPOLATION

, 1999
A family of number sequences which interpolates the sequences of Bell numbers and n!
PERGOLA, ELISA, PINZANI, RENZO, G. LABELLE, P. LEROUX   +3 more
openaire   +1 more source

Some Identities of the probabilistic higher order frobenius-euler polynomials and their applications

Mathematical and Computer Modelling of Dynamical Systems
Recently, there has been significant research on the generalization of various numbers using probabilistic methods. In this paper, we introduce the probabilistic higher order Frobenius-Euler polynomials which are a generalization of Frobenius-Euler ...
Jin-Woo Park, Sangbeom Park, Sang Jo Yun, Jongkyum Kwon   +3 more
doaj   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

The ordered Bell numbers as weighted sums of odd or even Stirling numbers of the second kind

, 2021
For the Stirling numbers of the second kind $S(n,k)$ and the ordered Bell numbers $B(n)$, we prove the identity $\sum_{k=1}^{n/2} S(n,2k)(2k-1)! = B(n-1)$. An analogous identity holds for the sum over odd $k$'s.
openaire   +2 more sources

Series and Connections Among Central Factorial Numbers, Stirling Numbers, Inverse of Vandermonde Matrix, and Normalized Remainders of Maclaurin Series Expansions ^†

Mathematics
This paper presents an extensive investigation into several interrelated topics in mathematical analysis and number theory. The author revisits and builds upon known results regarding the Maclaurin power series expansions for a variety of functions and ...
Feng Qi
doaj   +1 more source