Results 41 to 50 of about 51,954 (284)
Generalized Fock spaces and the Stirling numbers [PDF]
, 2018 The Bargmann-Fock-Segal space plays an important role in mathematical physics, and has been extended into a number of directions. In the present paper we imbed this space into a Gelfand triple. The spaces forming the Fr\'echet part (i.e.
Alpay D. +14 more
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Poly-falling factorial sequences and poly-rising factorial sequences
Open Mathematics, 2021 In this paper, we introduce generalizations of rising factorials and falling factorials, respectively, and study their relations with the well-known Stirling numbers, Lah numbers, and so on.
Kim Hye Kyung
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λ-Analogues of Stirling polynomials of the first kind and their applications
Journal of Inequalities and Applications, 2019 Recently, λ-analogues of Stirling numbers of the first kind were studied. In this paper, we introduce, as natural extensions of these numbers, λ-Stirling polynomials of the first kind and r-truncated λ-Stirling polynomials of the first kind.
Taekyun Kim +3 more
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A Note on the r-Stirling Numbers of the First Kind
Proceedings of the 5th Croatian Combinatorial DaysPetra Marija De Micheli Vitturi +1 more
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A Symmetric Sum Involving the Stirling Numbers of the First Kind
European Journal of Combinatorics, 1984 Let \(\{a_i\}^n_{i=1}\) be a sequence of natural numbers, \(0\leq a_i\leq n\) for \(i=1,\dots,n\), and \(A_{nm}\) be an \(n\times m\) array associated with this sequence, whose entries \(\alpha_{ij}=0,1\) such that \(\sum_{j=1}^m \alpha_{ij}=a_i\), \(i=1,\dots,n\), \(j=1,\dots,m\).
Khidr, A.M., El-Desouky, B.S.
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A Note on Some Identities of New Type Degenerate Bell Polynomials
Mathematics, 2019 Recently, the partially degenerate Bell polynomials and numbers, which are a degenerate version of Bell polynomials and numbers, were introduced.
Taekyun Kim +3 more
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Refinements of the Bell and Stirling numbers [PDF]
Transactions on Combinatorics, 2018 We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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Advanced Intelligent Systems, EarlyView.Natural fliers achieve remarkable aerial performance through diverse wing neuromechanical systems integrating actuation, sensing, and control. This study synthesizes neuromechanical architectures in insects and hummingbirds, identifying two key functional types‐Dual Neural‐Mechanical Oscillator and Neurally‐modulated Mechanical Oscillator‐ and ...
Suyash Agrawal +4 more
wiley +1 more source
Confessions of a Poverty Researcher: My Journey Through the Foothills of Scholarship
Australian Journal of Social Issues, EarlyView.ABSTRACT This paper describes the key events, experiences and ideas that influenced the author's career as a poverty researcher. He describes how his early disillusion with economics was replaced by a spark of interest in social issues and how his migration from the UK to Australia in the mid‐1970s provided the impetus to begin what became a lifetime ...
Peter Saunders
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Lagrange inversion and Stirling number convolutions [PDF]
, 2014 Recently Agoh and Dilcher proved a convolution identity involving Stirling numbers S(n, r) of the second kind. We prove an identity where S(n, r) is replaced by a more general doubly-indexed family A(n, r).
Chapman, Robin
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