Results 41 to 50 of about 1,353 (123)
A new class of infinite products, and Euler′s totient
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 417-422, 1994., 1993 We introduce some new infinite products, the simplest being where ϕk is the set of positive integers less than and relatively prime to k, valid for |y|∧|qy| both less than unity, with q ≠ 1. The idea of a q‐analogue for the Euler totient function is suggested.
Geoffrey B. Campbell
wiley +1 more source
Discrete Mathematics & Theoretical Computer Science, 2017 Given a set $Y$ of decreasing plane trees and a permutation $\pi$, how many trees in $Y$ have $\pi$ as their postorder? Using combinatorial and geometric constructions, we provide a method for answering this question for certain sets $Y$ and all ...
Colin Defant
doaj +1 more source
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
semanticscholar +1 more source
Infinite products over visible lattice points
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 637-654, 1994., 1993 About fifty new multivariate combinatorial identities are given, connected with partition theory, prime products, and Dirichlet series. Connections to Lattice Sums in Chemistry and Physics are alluded to also.
Geoffrey B. Campbell
wiley +1 more source
Some identities for enumerators of circulant graphs
, 2001 We establish analytically several new identities connecting enumerators of different types of circulant graphs of prime, twice prime and prime-squared orders.
Liskovets, Valery A.
core +1 more source
A bijection between the set of nesting-similarity classes and L & P matchings [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Matchings are frequently used to model RNA secondary structures; however, not all matchings can be realized as RNA motifs. One class of matchings, called the L $\&$ P matchings, is the most restrictive model for RNA secondary structures in the Largest ...
Megan A. Martinez, Manda Riehl
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Link between Hosoya index and Fibonacci numbers
, 2018 Let G be a graph and Z.G/ be its Hosoya index. We show how the Hosoya index can be a good tool to establish some new identities involving Fibonacci numbers. This permits to extend Hillard and Windfeldt work. 2010 Mathematics Subject Classification: 05A19;
H. Belbachir, Hakim Harik
semanticscholar +1 more source
Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
doaj +1 more source
Some identities of Bernoulli, Euler and Abel polynomials arising from umbral calculus
, 2013 In this paper, we derive some identities of Bernoulli, Euler, and Abel polynomials arising from umbral calculus.MSC:05A10, 05A19.
Dae San Kim +3 more
semanticscholar +1 more source
Consequences of a sextuple‐product identity
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 3, Page 545-549, 1987., 1987 A sextuple‐product identity, which essentially results from squaring the classical Gauss‐Jacobi triple‐product identity, is used to derive two trigonometrical identities. Several special cases of these identities are then presented and discussed.
John A. Ewell
wiley +1 more source