Results 31 to 40 of about 95,768 (266)

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, Dae San Kim, Hyunseok Lee, Jongkyum Kwon   +3 more
doaj   +1 more source

Congruences for the Stirling numbers and associated Stirling numbers [PDF]

Acta Arithmetica, 1990
Let s(n,k) and S(n,k) be the Stirling numbers of the first and second kind, respectively. The author proves that if \(k+n\) is odd, then \[ s(n,k)\equiv 0 (mod\left( \begin{matrix} n\\ 2\end{matrix} \right)),\quad S(n,k)\equiv 0 (mod\left( \begin{matrix} k+1\\ 2\end{matrix} \right)).
openaire   +2 more sources

On the asymptotic normality of the Legendre-Stirling numbers of the second kind

, 2014
For the Legendre-Stirling numbers of the second kind asymptotic formulae are derived in terms of a local central limit theorem. Thereby, supplements of the recently published asymptotic analysis of the Chebyshev-Stirling numbers are established. Moreover,
Gawronski, Wolfgang, Littlejohn, Lance L., Neuschel, Thorsten   +2 more
core   +1 more source

Generalized q-Stirling Numbers and Their Interpolation Functions

Axioms, 2013
In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers.
Yilmaz Simsek, Ismail Naci Cangul, Hacer Ozden   +2 more
doaj   +1 more source

On q-Euler Numbers Related to the Modified q-Bernstein Polynomials

Abstract and Applied Analysis, 2010
We consider q-Euler numbers, polynomials, and q-Stirling numbers of first and second kinds. Finally, we investigate some interesting properties of the modified
Min-Soo Kim, Daeyeoul Kim, Taekyun Kim
doaj   +1 more source

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
core   +3 more sources

Stirling numbers revisited

Discrete Mathematics, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Scurr, Raymond, Olive, Gloria
openaire   +1 more source

Additive Manufacturing of NiTi Shape Memory Alloys for Elastocaloric Applications: A Review

Advanced Functional Materials, EarlyView.
Additive manufacturing enables complex NiTi architectures that overcome key limitations in elastocaloric refrigeration, including poor heat transfer and high mechanical work input. This review surveys recent advances in LPBF‐ and DED‐fabricated NiTi shape memory alloys for elastocaloric applications, highlighting process–structure–performance ...
Ignatius Andre Setiawan, Mohammad Mehrali, Jaka Tušek, Shiva Mohajerani, Xiebin Wang, Dermot Brabazon, Mohammad Elahinia, Mehrshad Mehrpouya   +7 more
wiley   +1 more source

From the Discovery of the Giant Magnetocaloric Effect to the Development of High‐Power‐Density Systems

Advanced Materials Technologies, EarlyView.
The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz, Yaroslav Mudryk, Jun Cui, Lucas Griffith, Duane D. Johnson, Julie Slaughter   +5 more
wiley   +1 more source

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
doaj   +1 more source