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01/2019, ISBN 9783039216215
This Special Issue presents research papers on various topics within many different branches of mathematics, applied mathematics, and mathematical physics.... 
eBook
Physical Review Letters, ISSN 0031-9007, 01/2016, Volume 116, Issue 1, p. 010402
It is a recent realization that many of the concepts and tools of causal discovery in machine learning are highly relevant to problems in quantum information,... 
NONLOCALITY | PHYSICS, MULTIDISCIPLINARY | QUANTUM | GEOMETRY | Bells | Mathematical analysis | Inequalities | Causation | Derivation | Mathematical models | Polynomials | Representations | Physics - Quantum Physics
Journal Article
Frontiers of Mathematics in China, ISSN 1673-3452, 10/2013, Volume 8, Issue 5, pp. 1139 - 1156
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 02/2019, Volume 347, pp. 330 - 342
In this paper, we investigate the integral of xnlogp(sin(x)) for natural numbers n and p. In doing so, we recover some well-known results and remark on some... 
Riemann zeta function | Bell polynomial | Binomial coefficients | Combinatorics | Harmonic numbers | Log-sine integral | MATHEMATICS, APPLIED | Mathematics - Number Theory
Journal Article
by Qi, F and Niu, DW and Guo, BN
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, ISSN 1578-7303, 04/2019, Volume 113, Issue 2, pp. 557 - 567
In the paper, by virtue of (1) the Stirling inversion theorem and the binomial inversion theorem, (2) the Faa di Bruno formula and two identities for the Bell... 
MATHEMATICS | Bell polynomial | Explicit formula | Inversion theorem | Unnamed polynomial | Binomial coefficient | Identity | Stirling number
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 05/2015, Volume 29, Issue 12, p. 1550051
Journal Article
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 4/2017, Volume 111, Issue 2, pp. 435 - 446
Recently, several authors have studied the degenerate Bernoulli and Euler polynomials and given some intersting identities of those polynomials. In this paper,... 
11B83 | Degenerate Bell numbers and polynomials | Theoretical, Mathematical and Computational Physics | 11B73 | Mathematics, general | 05A19 | Mathematics | Degenerate Stirling numbers of the second kind | Applications of Mathematics | 11B37 | MATHEMATICS | BERNOULLI NUMBERS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 02/2017, Volume 446, Issue 1, pp. 87 - 100
This paper deals with a unified matrix representation for the Sheffer polynomials. The core of the proposed approach is the so-called creation matrix, a... 
Binomial type polynomials | Generalized Pascal matrix | Sheffer polynomials | Appell polynomials | Creation matrix | MATHEMATICS | DETERMINANTAL APPROACH | MATHEMATICS, APPLIED | BELL POLYNOMIALS | SEQUENCES | IDENTITIES
Journal Article
中国科学:数学英文版, ISSN 1674-7283, 2015, Volume 58, Issue 10, pp. 2095 - 2104
We investigate Bell polynomials, also called Touchard polynomials or exponential polynomials, by using and without using umbral calculus. We use three... 
恒等式 | 指数多项式 | 阶乘 | Bell多项式 | 贝尔 | 伯努利多项式 | 哑演算 | 柯西 | 11B83 | 05A40 | umbral calculus | Cauchy polynomial | 11B73 | higher-order Bernoulli polynomial | 05A19 | Mathematics | Applications of Mathematics | Bell-polynomial | poly-Bernoulli polynomial | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 08/2016, Volume 37, pp. 362 - 373
Journal Article
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 1/2019, Volume 113, Issue 1, pp. 1 - 9
Journal Article
Reports on Mathematical Physics, ISSN 0034-4877, 08/2013, Volume 72, Issue 1, pp. 41 - 56
Journal Article
Afrika Matematika, ISSN 1012-9405, 12/2017, Volume 28, Issue 7, pp. 1167 - 1183
In this paper, we show that the r-Stirling numbers of both kinds, the r-Whitney numbers of both kinds, the r-Lah numbers and the r-Whitney-Lah numbers form... 
Probabilistic interpretation | Whitney numbers | 11B73 | Mathematics, general | Mathematics Education | Mathematics | History of Mathematical Sciences | Applications of Mathematics | The partial Bell and r -Bell polynomials | Stirling numbers | Recurrence relations | 05A18 | The partial Bell and r-Bell polynomials
Journal Article
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, ISSN 1578-7303, 7/2019, Volume 113, Issue 3, pp. 2507 - 2513
Here we study the degenerate central Bell numbers and polynomials as a degenerate version of the recently introduced central Bell numbers and polynomials,... 
Central factorial numbers | 05A68 | Bell numbers | 11B83 | Theoretical, Mathematical and Computational Physics | 11B73 | Mathematics, general | Degenerate central Bell polynomials | Mathematics | Applications of Mathematics | 11B68 | MATHEMATICS | Numbers | Fibonacci numbers | Polynomials
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2013, Volume 400, Issue 2, pp. 624 - 634
This paper investigates the integrability of a generalized (2+1)-dimensional Korteweg–de Vries equation. With the aid of binary Bell polynomials, its bilinear... 
Darboux covariant Lax pair | Binary Bell polynomial | [formula omitted]-soliton solution | Infinite conservation law | Lax pair | Bäcklund transformation | N-soliton solution | MATHEMATICS, APPLIED | KP HIERARCHY | MATHEMATICS | WAVES | KDV EQUATION | Backlund transformation | CONSERVATION-LAWS | N-SOLITON SOLUTIONS | COMBINATORICS | TRANSFORMATIONS
Journal Article
by Na, Liu
Nonlinear Dynamics, ISSN 0924-090X, 10/2015, Volume 82, Issue 1-2, pp. 311 - 318
In this paper, the binary Bell polynomials are employed to find the bilinear form, bilinear Backlund transformation and Lax pair for the (3+1)-dimensional BKP... 
Multi-soliton solutions | Binary Bell polynomial | Bilinear Bäcklund transformation | Lax pair | TRAVELING-WAVE SOLUTIONS | MECHANICS | SOLITON-SOLUTIONS | Bilinear Backlund transformation | CONSERVATION-LAWS | ENGINEERING, MECHANICAL | Transformations | Polynomials | Solitary waves | Combinatorial analysis
Journal Article
Journal of Computational Analysis and Applications, ISSN 1521-1398, 05/2020, Volume 28, Issue 3, pp. 457 - 462
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 06/2013, Volume 219, Issue 19, pp. 9978 - 9991
We discuss the generalized Touchard polynomials introduced recently by Dattoli et al. as well as their extension to negative order introduced by the authors... 
Bell number | Generating function | Stirling number | Touchard polynomial | MATHEMATICS, APPLIED
Journal Article
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