Results 51 to 60 of about 612 (176)
Combinatorics of a generalized Narayana identity [PDF]
, 2016 The Narayana identity is a well-known formula that expresses the classical Catalan numbers as sums of the ordinary Narayana numbers. In this paper we generalize the Narayana identity to a family of Riordan arrays including the array of ballot numbers ...
Petrullo P. +3 more
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Argiope Microbiome: fastq Files [PDF]
, 2020 This folder contains all of the raw reads output from Illumina 16S sequencing, in fastq format. Sequence were processed using dada2 in R, and the script is available here as well.
Mia Bengtsson (4731786) +1 more
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Ecology and Evolution, Volume 16, Issue 4, April 2026.We propose a conceptual framework for assessing ecological integrity in hybrid ecosystems based on the identification of active self‐organizing processes and the mapping of their functional contributions. This process‐based approach offers a practical and scalable tool for monitoring ecosystem health and guiding adaptive management strategies in an era
Elli Groner +2 more
wiley +1 more source
Characterizations of Orthogonal Generalized Gegenbauer-Humbert Polynomials and Orthogonal Sheffer-type Polynomials [PDF]
, 2011 We present characterizations of the orthogonal generalized Gegen-bauer-Humbert polynomial sequences and the orthogonal Sheffer-type polynomial sequences.
He, Tian-Xiao
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On a symbolic representation of non-central Wishart random matrices with applications [PDF]
, 2014 By using a symbolic method, known in the literature as the classical umbral calculus, the trace of a non-central Wishart random matrix is represented as the convolution of the traces of its central component and of a formal variable matrix.
DI NARDO, Elvira
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The algebra for formal series. II. Sheffer sequences
Journal of Mathematical Analysis and Applications, 1980 In this paper we continue the study of the algebra of formal series. We will develop some new results on special sequences and begin the study of Sheffer Sequences, discussing the important examples of Hermite, Laguerre and Bernoulli. The second section gives a very brief survey of parts of [I] as well as a new result which will be used in the sequel ...
openaire +2 more sources
A Digital Binomial Theorem for Sheffer Sequences
, 2015 8 ...
Mansour, Toufik, Nguyen, Hieu D.
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Finding Determinant Forms of Certain Hybrid Sheffer Sequences [PDF]
Mathematics, 2019 In this article, the integral transform is used to introduce a new family of extended hybrid Sheffer sequences via generating functions and operational rules. The determinant forms and other properties of these sequences are established using a matrix approach.
Monairah Alansari +3 more
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The making of novel ecosystems: A process‐based framework for measurement, analysis and application
Methods in Ecology and Evolution, Volume 17, Issue 3, Page 683-704, March 2026.Abstract Ecological novelty is emerging rapidly due to global change drivers such as climate shifts, species introductions, defaunation, and land‐use transformation. These changes challenge how we assess, understand and manage ecosystems in the Anthropocene.
Matthew R. Kerr +7 more
wiley +1 more source
The Sheffer B-type 1 Orthogonal Polynomial Sequences [PDF]
, 2009 In 1939, I.M. Sheffer proved that every polynomial sequence belongs to one and only one type. Sheffer extensively developed properties of the B-Type 0 polynomial sequences and determined which sets are also orthogonal.
Galiffa, Daniel
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