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SAE technical paper series, Volume 929396.
Free-piston Stirling power converters are a candidate for high capacity space power applications. The Space Power Research Engine (SPRE), a free-piston... 
Stirling engines
eJournal
Computers and Mathematics with Applications, ISSN 0898-1221, 2006, Volume 51, Issue 3, pp. 631 - 642
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 05/2017, Volume 40, Issue 7, pp. 2347 - 2361
Journal Article
Aequationes mathematicae, ISSN 0001-9054, 12/2017, Volume 91, Issue 6, pp. 1055 - 1071
In this paper we introduce restricted r-Stirling numbers of the first kind. Together with restricted r-Stirling numbers of the second kind and the associated... 
Combinatorial identities | Generating function | Mathematics | Secondary 11B68 | Primary 11B83 | Analysis | Poly-Bernoulli numbers | 11B73 | 05A19 | Combinatorics | Incomplete r -Stirling numbers | 05A15 | Poly-Cauchy numbers | Incomplete r-Stirling numbers | POLYNOMIALS | MATHEMATICS | MATHEMATICS, APPLIED | BESSEL NUMBERS | COMBINATORICS
Journal Article
Acta Mathematica Hungarica, ISSN 0236-5294, 8/2016, Volume 149, Issue 2, pp. 306 - 323
By using the restricted Stirling numbers and associated Stirling numbers, we introduce two kinds of incomplete Cauchy numbers, which are generalizations that... 
secondary 05A15 | restricted Stirling number | Mathematics, general | associated Stirling number | 11B75 | 05A19 | Mathematics | primary 11B73 | Cauchy number | Stirling number | 05A18 | MATHEMATICS | STIRLING NUMBERS | Information science | Statistics
Journal Article
Discrete Mathematics, ISSN 0012-365X, 03/2019, Volume 342, Issue 3, pp. 628 - 634
The orthogonality of the (q,t)-version of the Stirling numbers has recently been proved by Cai and Readdy using a bijective argument. In this paper, we... 
Stirling numbers | Recurrence relations | [formula omitted]-analogues | [Formula presented]-analogues | MATHEMATICS | Q-STIRLING NUMBERS | Q-ANALOGS | (q, t)-analogues | CUBES | SUMS
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 6/2016, Volume 180, Issue 2, pp. 271 - 288
By using the restricted and associated Stirling numbers of the first kind by generalizing the (unsigned) Stirling numbers of the first kind, we define the... 
Restricted Stirling numbers | Secondary 11B75 | Restricted poly-Cauchy numbers | Mathematics, general | Associated Stirling numbers | 05A19 | Mathematics | Primary 11B73 | Associated poly-Cauchy numbers | 05A15 | Poly-Cauchy numbers | MATHEMATICS | BERNOULLI NUMBERS
Journal Article
Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 4/2018, Volume 12, Issue 1, pp. 1 - 35
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2011, Volume 217, Issue 12, pp. 5702 - 5728
Journal Article
Publicationes Mathematicae, ISSN 0033-3883, 2016, Volume 88, Issue 3-4, pp. 357 - 368
Journal Article
Discrete Mathematics, ISSN 0012-365X, 10/2015, Volume 338, Issue 10, pp. 1660 - 1666
In this paper we present a detailed study of r-Lah numbers, which give the number of partitions of a finite set into a fixed number of nonempty ordered subsets... 
[formula omitted]-Lah numbers | r-Lah numbers | MATHEMATICS | STIRLING NUMBERS
Journal Article
Acta Mathematica Hungarica, ISSN 0236-5294, 2019, Volume 158, Issue 1, pp. 159 - 172
We investigate mixed partitions with extra condition on the sizes of the blocks. We give a general formula and the generating function. We consider in more... 
Stirling number of the second kind | multiplicative partition function | mixed partition of a set | MATHEMATICS | Statistics | Social service
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2015, Volume 268, pp. 844 - 858
In the paper, by induction, the Faà di Bruno formula, and some techniques in the theory of complex functions, the author finds explicit formulas for higher... 
Bell polynomial of the second kind | Tangent number | Bernoulli number | Explicit formula | Derivative polynomial | Euler polynomial | MATHEMATICS, APPLIED | BERNOULLI NUMBERS | INEQUALITIES | IDENTITIES | COMPLETE MONOTONICITY | STIRLING NUMBERS | POLYNOMIALS | EXPLICIT FORMULAS | INTEGRAL-REPRESENTATION | 2ND KIND | 1ST KIND
Journal Article
Discrete Mathematics, ISSN 0012-365X, 08/2012, Volume 312, Issue 15, pp. 2337 - 2348
Let G be a finite group of order m≥1. A Dowling lattice Qn(G) is the geometric lattice of rank n over G. In this paper, we define the r-Whitney numbers of the... 
Lah numbers | Whitney numbers | Dowling lattice | [formula omitted]-Stirling numbers | Dowling polynomials | Riordan group | r-Stirling numbers | MATHEMATICS | RIORDAN ARRAYS | Statistics | Questions and answers
Journal Article
ELECTRONIC JOURNAL OF COMBINATORICS, ISSN 1077-8926, 04/2019, Volume 26, Issue 2
We exhibit a connection between two statistics on set partitions, the intertwining number and the depth-index. In particular, results link the intertwining... 
MATHEMATICS | Q-STIRLING NUMBERS | INVOLUTIONS | CHARLIER | MATHEMATICS, APPLIED | ANALOG | CONGRUENCE B-ORBITS
Journal Article
Electronic Journal of Combinatorics, ISSN 1077-8926, 04/2017, Volume 24, Issue 2
This paper studies the generalizations of the Stirling numbers of both kinds and the Lah numbers in association with the normal order problem in the Weyl... 
Rook numbers | Lah numbers | Normal ordering problem | Stirling numbers | Quasithreshold graphs | MATHEMATICS | MATHEMATICS, APPLIED | quas-ithreshold graphs | BOSON OPERATORS | rook numbers | COMBINATORICS | normal ordering problem
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 10/2018, Volume 466, Issue 1, pp. 1009 - 1042
In this paper we are interested in Euler-type sums with products of harmonic numbers, Stirling numbers and Bell numbers. We discuss the analytic... 
Euler sums | Riemann zeta function | Multiple zeta (star) values | Stirling numbers | Harmonic numbers | Multiple harmonic (star) numbers | INTEGRALS | MATHEMATICS | MULTIPLE ZETA-VALUES | MATHEMATICS, APPLIED | SERIES
Journal Article
Journal of Number Theory, ISSN 0022-314X, 06/2016, Volume 163, pp. 238 - 254
In 1935 Carlitz introduced Bernoulli-Carlitz numbers as analogues of Bernoulli numbers for the rational function field Fr(T). In this paper, we introduce... 
Cauchy-Carlitz numbers | Stirling-Carlitz numbers | Hasse-Teichmüller derivatives | Bernoulli-Carlitz numbers | MATHEMATICS | Hasse-Teichmuller derivatives
Journal Article
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