Results 21 to 30 of about 339 (52)
On Bennett's conjecture and complete monotonicity
Mathematical Inequalities & Applications, 2019 Bennett [1] gave a generalization of Schur’s theorem in order to study various momentpreserving transformations. Recently, Su [5] confirmed a monotonicity conjecture of Bennett which is related to the generalized Schur’s theorem and Haber’s inequality ...
U. Abel, Vitaliy Kushnirevych
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Increasing and Decreasing Subsequences
, 2006 We survey the theory of increasing and decreasing subsequences of permutations. Enumeration problems in this area are closely related to the RSK algorithm.
R. Stanley
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SOME ALGEBRAIC RELATIONS ON AN INTEGER SEQUENCE WITH FIXED PARAMETER
Acta Universitatis Apulensis, 2019 Let a ≥ 2 be an integer. In this work we set an integer sequence Ua n = Un(a+ 1, a) and deduced some algebraic relations on it. 2010 Mathematics Subject Classification: 05A19, 11B37, 11B39.
Arzu Özkoç Öztürk, A. Tekcan
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Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus
, 2013 In this paper, we derive the identities of higher-order Bernoulli, Euler and Frobenius-Euler polynomials from the orthogonality of Hermite polynomials.
Dae San Kim +3 more
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, 2012 A rectangulation is a tiling of a rectangle by a finite number of rectangles. The rectangulation is called generic if no four of its rectangles share a single corner.
Reading, Nathan
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New formulae of products of the Frobenius-Euler polynomials
, 2014 In this paper, we perform a further investigation for the Frobenius-Euler polynomials. Some new formulae of products of the Frobenius-Euler polynomials are established by applying the generating function methods and some summation transform techniques ...
Yuan He, Sherry J Wang
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The signed Eulerian numbers on involutions [PDF]
, 2008 We define an analogue of signed Eulerian numbers $f_{n,k}$ for involutions of the symmetric group and derive some combinatorial properties of this sequence.
Barnabei, M., Bonetti, F., Silimbani, M.
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Inverse and Moore-Penrose inverse of Toeplitz matrices with classical Horadam numbers
, 2017 For integers s,k with s 0 and k 0 , we define a class of lower triangular Toeplitz matrices U (s,k) n of type (s,k) , whose non-zero entries are the classical Horadam numbers U (a,b) i .
Shouqiang Shen, W. Liu, Lihua Feng
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On $t$-extensions of the Hankel determinants of certain automatic sequences
, 2014 In 1998, Allouche, Peyri\`ere, Wen and Wen considered the Thue--Morse sequence, and proved that all the Hankel determinants of the period-doubling sequence are odd integral numbers.
Fu, Hao, Han, Guo-Niu
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A Combinatorial Proof of a Theorem of Katsuura [PDF]
, 2014 We give a combinatorial proof of an algebraic result of Katsuura\u27s. Moreover, we use the proof of this result to shed some light on an interesting property of the result ...
Miceli, Brian K
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