Results 121 to 130 of about 62,131 (208)

Polynomials of Binomial Type from Truncated Delta Series

European Journal of Combinatorics, 1991
The author calls a sequence of polynomials \((b_ n(x))_ {n\geq0}\) of binomial type if there exists a formal power series \(\beta (t)=\sum _ {k\geq1} ^ {}\beta _ kt^ k\) with \(\beta _ 1\neq0\) such that \[ \sum _ {n\geq0} ^ {}b_ n(x)t^ n=e^ {x\beta (t)}.
openaire   +2 more sources

COMPOSITION OF BINOMIAL POLYNOMIAL [PDF]

Communications of the Korean Mathematical Society, 2007
openaire   +1 more source

On compound operators depending on s parameters

Journal of Numerical Analysis and Approximation Theory, 2004
In this note we introduce a compound operator depending on \(s\) parameters using binomial sequences. We compute the values of this operator on the test functions, we give a convergence theorem and a representation of the remainder in the ...
Maria Crăciun
doaj   +2 more sources

A polynomial identity and some of its new consequences [PDF]

Electronic Journal of Mathematics
Michel Bataille, Robert Frontczak
doaj   +1 more source

Supercongruences involving binomial coefficients and Euler polynomials

Let $p$ be an odd prime and let $x$ be a $p$-adic integer. In this paper, we establish supercongruences for $$ \sum_{k=0}^{p-1}\frac{\binom{x}{k}\binom{x+k}{k}(-4)^k}{(dk+1)\binom{2k}{k}}\pmod{p^2} $$ and $$ \sum_{k=0}^{p-1}\frac{\binom{x}{k}\binom{x+k}{k}(-2)^k}{(dk+1)\binom{2k}{k}}\pmod{p^2}, $$ where $d\in\{0,1,2\}$.
Wang, Chen, Han, Hui-Li
openaire   +2 more sources

A positivity conjecture for a quotient of <i>q</i>-binomial coefficients. [PDF]

Ramanujan J
Gatzweiler M, Krattenthaler C.
europepmc   +1 more source

Caught on Camera: Insights Into Mizoram's Mammalian Diversity Through a Camera-Trap-Based Distance Sampling Approach. [PDF]

Ecol Evol
Gogoi AP, Chakma J, Kawlni L, Kolipakam V, Qureshi Q.   +4 more
europepmc   +1 more source

Parametrized systems of generalized polynomial inequalities via linear algebra and convex geometry. [PDF]

Positivity (Dordr)
Müller S, Regensburger G.
europepmc   +1 more source

Evaluating the impact of a 10 year reduction in critically important antibiotic use on the occurrence of antibiotic resistance in <i>E. coli</i> from cattle, dogs and cats in France. [PDF]

JAC Antimicrob Resist
Collineau L, Ait Ali S, Bareille S, Chauvin C, Haenni M, Jarrige N, Madec JY, Urban D, Cazeau G.   +8 more
europepmc   +1 more source

A Commentary on Chatterjee Et Al. (2018): A Corrected Framework for Group Sparsity in Zero-Inflated Negative Binomial Models. [PDF]

Stat Med
Iqbal A, Mallick H, Ogundimu EO.
europepmc   +1 more source