Results 81 to 90 of about 50,310 (297)
Two new explicit formulas for the Bernoulli Numbers
, 2019 In this brief note, we give two explicit formulas for the Bernoulli Numbers in terms of the Stirling numbers of the second kind, and the Eulerian Numbers. To the best of our knowledge, these formulas are new.
Jha, Sumit Kumar
core +1 more source
Demonstratio Mathematica, 2016 In this paper, we consider Gauthier’s generalized convolution and then define its binomial analogue as well as alternating binomial analogue. We formulate these convolutions and give some applications of them.
Kılıç Emrah +3 more
doaj +1 more source
The Curriculum Journal, EarlyView.Abstract Education, including school education, is widely understood as fundamental to a just response to global climate and ecological crises. We examined the practices of teachers based in England focused on climate change and sustainability education (CCSE).
Elizabeth A. C. Rushton +2 more
wiley +1 more source
Extended Bell and Stirling numbers from hypergeometric exponentiation [PDF]
, 2001 Exponentiating the hypergeometric series 0FL(1,1,...,1;z), L = 0,1,2,..., furnishes a recursion relation for the members of certain integer sequences bL(n), n = 0,1,2,....
A. I. Extended Bell +6 more
core +4 more sources
New Polynomials and Numbers Associated with Fractional Poisson Probability Distribution
, 2010 Generalizations of Bell polynomials, Bell numbers, and Stirling numbers of the second kind have been introduced and their generating functions were evaluated.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics ...
Laskin, Nick
core +1 more source
AIMS MathematicsBy utilizing the generating function of higher-order Bernoulli polynomials, we uncover novel relationships that intertwine higher-order Bernoulli polynomials, higher-order Bernoulli numbers, Stirling numbers of the second kind, and central factorial ...
Aimin Xu
doaj +1 more source
A note on infinite series whose terms involve truncated degenerate exponentials
Applied Mathematics in Science and Engineering, 2023 The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms.
Dae San Kim, Hyekyung Kim, Taekyun Kim
doaj +1 more source
Three Representations for Set Partitions
IEEE Access, 2021 The Set Partitioning Problem (SPP) aims to obtain non-empty disjoint subsets of objects such that their union equals the whole set of objects, and the partition meets some prespecified criteria.
Jose Torres-Jimenez +4 more
doaj +1 more source
Becoming inclusive: Developing pre‐service teachers' orientations towards their practice in Scotland
The Curriculum Journal, EarlyView.Abstract This article presents findings, from a case study with a cohort of third‐year undergraduate pre‐service teachers (PSTs) in Scotland, regarding their ideas about inclusion and curricular justice, as they concurrently encountered practice and theory.
Andrea Priestley +2 more
wiley +1 more source
On Degenerate Truncated Special Polynomials
Mathematics, 2020 The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
doaj +1 more source