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2009, ISBN 9780195334548, xiv, 422
Like the intriguing Fibonacci and Lucas numbers, Catalan numbers are also ubiquitous. "They have the same delightful propensity for popping up unexpectedly,... 
Catalan numbers (Mathematics) | Mathematics | Euler's triangulation problem | Pascal's triangle | Pascal's identity | Lucas numbers | Catalan sequence | Parenthesization problem | Catalan numbers | Martin gardner | Fibonacci numbers
Book
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
2018, First edition., ISBN 0198794924, 162 pages
Book
American Journal of Physiology - Lung Cellular and Molecular Physiology, ISSN 1040-0605, 2015, Volume 309, Issue 11, pp. L1286 - L1293
Journal Article
Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 4/2018, Volume 12, Issue 1, pp. 1 - 35
Journal Article
Periodica Mathematica Hungarica, ISSN 0031-5303, 12/2017, Volume 75, Issue 2, pp. 302 - 314
For an integer k, define poly-Euler numbers of the second kind $$\widehat{E}_n^{(k)}$$ E ^ n ( k ) ( $$n=0,1,\ldots $$ n = 0 , 1 , … ) by $$\begin{aligned}... 
Euler numbers | Complementary Euler numbers | Determinant | Euler numbers of the second kind | Poly-Euler numbers of the second kind | Mathematics, general | Mathematics | Zeta functions | MATHEMATICS | MATHEMATICS, APPLIED | POLY-BERNOULLI NUMBERS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2011, Volume 217, Issue 12, pp. 5702 - 5728
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
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2006, Volume 324, Issue 2, pp. 790 - 804
Journal Article
Journal of the Australian Mathematical Society, ISSN 1446-7887, 11/2016, Volume 103, Issue 1, pp. 1 - 19
Poly-Euler numbers are introduced as a generalization of the Euler numbers in a manner similar to the introduction of the poly-Bernoulli numbers. In this... 
poly-Bernoulli number | Clausen–von Staudt theorem | Euler number | poly-Euler number | MATHEMATICS | BERNOULLI NUMBERS | Clausen-von Staudt theorem
Journal Article
Journal of Number Theory, ISSN 0022-314X, 2011, Volume 131, Issue 12, pp. 2387 - 2397
The nth Delannoy number and the nth Schröder number given by D n = ∑ k = 0 n ( n k ) ( n + k k ) and S n = ∑ k = 0 n ( n k ) ( n + k k ) 1 k + 1 respectively... 
Schröder numbers | Central Delannoy numbers | Congruences | Euler numbers | MATHEMATICS | Schroder numbers
Journal Article
2006, New ed., Princeton Science Library, ISBN 0691118221, xx, 380
In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research,... 
Mathematics | Euler's numbers | History | Numbers, Complex | History of Science & Technology | Euler’s numbers
Book
AIP Conference Proceedings, ISSN 0094-243X, 07/2018, Volume 1978, Issue 1
In this paper, we firstly give the generating functions of the Bernoulli and Euler polynomials. Secondly, for our main result, we define the generating... 
generating function | Euler number | Bernoulli number | Functions (mathematics) | Numbers | Convolution | Mathematical analysis
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
2017, First edition., ISBN 9780465093779, viii, 221 pages
"Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard... 
Mathematics | Euler's numbers | Euler, Leonhard, 1707-1783 | History | Numbers, Complex
Book
Applicable Analysis and Discrete Mathematics, ISSN 1452-8630, 10/2019, Volume 13, Issue 2, pp. 478 - 494
In this article, we examine a family of some special numbers and polynomials not only with their generating functions, but also with computation algorithms for... 
MATHEMATICS | Apostol-type numbers and polynomials | MATHEMATICS, APPLIED | Generating functions | Combinatorial numbers | BERNOULLI | Stirling numbers | EULER | Computation algorithm
Journal Article
Journal of Beijing Institute of Technology (English Edition), ISSN 1004-0579, 09/2015, Volume 24, Issue 3, pp. 298 - 304
Journal Article
2015, Birkhäuser Advanced Texts Basler Lehrbücher, ISBN 1493930907, 463
eBook
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