Results 41 to 50 of about 149,574 (327)

Generalized Bell Numbers and Peirce Matrix via Pascal Matrix

International Journal of Mathematics and Mathematical Sciences, 2018
With the Stirling matrix S and the Pascal matrix T, we show that TkS (k≥0) satisfies a type of generalized Stirling recurrence. Then, by expressing the sum of components of each row of TkS as k-Bell number, we investigate properties of k-Bell numbers as ...
Eunmi Choi
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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., Alpay D., Biagini F., Blasiak P., Bourbaki N., Daniel Alpay, Erdélyi A., Gelfand I. M., Gelfand I. M., Hall B. C., Karp D., Karp D., Motke Porat, Schneider W. R., Våge G.   +14 more
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Normal Ordering for Deformed Boson Operators and Operator-valued Deformed Stirling Numbers

, 1992
The normal ordering formulae for powers of the boson number operator $\hat{n}$ are extended to deformed bosons. It is found that for the `M-type' deformed bosons, which satisfy $a a^{\dagger} - q a^{\dagger} a = 1$, the extension involves a set of ...
Abramowitz M, Biedenharn L C, Carlitz L, Carlitz L, Chakrabarti R, Exton H, Garsia A M, Gould H W, J Katriel, Katriel J, Katriel J, Louisell W H, M Kibler, Macfarlane A J, Milne S C, Riordan J, Wachs M, Wilcox R M   +17 more
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The Structure of n-Point One-Loop Open Superstring Amplitudes [PDF]

, 2014
In this article we present the worldsheet integrand for one-loop amplitudes in maximally supersymmetric superstring theory involving any number n of massless open string states.
A Bilal, A Tsuchiya, AB Goncharov, BEW Nilsson, Carlos R. Mafra, CR Mafra, CR Mafra, CR Mafra, CR Mafra, CR Mafra, CR Mafra, CR Mafra, CR Mafra, CR Mafra, D Lüst, E D’Hoker, E D’Hoker, E D’Hoker, E Witten, EP Verlinde, FA Berends, G Policastro, H Gomez, H Gomez, I Oda, J Bjornsson, J Bjornsson, JJ Atick, JJ Carrasco, JM Drummond, JM Drummond, JP Harnad, L Brink, LA Barreiro, LJ Dixon, M Tentyukov, MAA Leeuwen van, MB Green, MB Green, MB Green, MB Green, MB Green, MB Green, N Arkani-Hamed, N Arkani-Hamed, N Arkani-Hamed, N Berkovits, N Berkovits, N Berkovits, N Berkovits, N Berkovits, N Berkovits, N Berkovits, N Berkovits, N Berkovits, NEJ Bjerrum-Bohr, NEJ Bjerrum-Bohr, Oliver Schlotterer, PA Grassi, R Kleiss, RH Boels, RM Schabinger, S Caron-Huot, S Stieberger, S Stieberger, S Stieberger, SJ Parke, T Ritbergen van, V Duca Del, Y Aisaka, Z Bern, Z Bern, Z Bern, Z Bern, Z Bern, Z Bern, Z Bern, Z Bern, Z Bern   +78 more
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A generalization of the Stirling numbers

Discrete Mathematics, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Computational Optimization of Free-Piston Stirling Engine by Variable-Step Simplified Conjugate Gradient Method with Compatible Strategies

Energies, 2022
This study aimed at the development of an algorithm for the computational optimization of free-piston Stirling engines. The design algorithm includes an optimization method and two compatible strategies.
Chin-Hsiang Cheng, Yu-Ting Lin
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Enumeration of a dual set of Stirling permutations by their alternating runs

, 2015
In this paper, we count a dual set of Stirling permutations by the number of alternating runs. Properties of the generating functions, including recurrence relations, grammatical interpretations and convolution formulas are studied.Comment: 8 ...
Ma, Shi-Mei, Wang, Hai-Na
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Stirling numbers and records

Journal of Combinatorial Theory, Series A, 1983
AbstractThe equivalence of two classical sums giving the Stirling numbers of first kind results from a joint law for records.
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The r-Stirling numbers

Discrete Mathematics, 1984
Let \(N(n,m,r)\) denote the number of permutations of \(\{1,\ldots,n\}\) with \(m\) cycles and such that the numbers \(1,\ldots,r\) occur in distinct cycles, and let \({\mathcal N}(n,m,r)\) denote the number of partitions of \(\{1,\ldots,n\}\) into \(m\) non-empty disjoint sets such that \(1,\ldots,r\) are in distinct subsets.
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Two problems of binomial sums involving harmonic numbers

Advances in Difference Equations, 2021
Two open problems recently proposed by Xi and Luo (Adv. Differ. Equ. 2021:38, 2021) are resolved by evaluating explicitly three binomial sums involving harmonic numbers, that are realized mainly by utilizing the generating function method and symmetric ...
Nadia N. Li, Wenchang Chu
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