Results 31 to 40 of about 119 (92)
First hitting times of simple random walks on graphs with congestion points
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1911-1922, 2003., 2003 We derive the explicit formulas of the probability generating functions of the first hitting times of simple random walks on graphs with congestion points using group representations.
Mihyun Kang
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Equivalence classes of mesh patterns with a dominating pattern [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 Two mesh patterns are coincident if they are avoided by the same set of permutations, and are Wilf-equivalent if they have the same number of avoiders of each length.
Murray Tannock, Henning Ulfarsson
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MacMahon’s statistics on higher-dimensional partitions
Forum of Mathematics, Sigma, 2023 We study some combinatorial properties of higher-dimensional partitions which generalize plane partitions. We present a natural bijection between d-dimensional partitions and d-dimensional arrays of nonnegative integers.
Alimzhan Amanov, Damir Yeliussizov
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Combinatorics of geometrically distributed random variables: new q‐tangent and q‐secant numbers
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 825-838, 2000., 2000 Up‐down permutations are counted by tangent (respectively, secant) numbers. Considering words instead, where the letters are produced by independent geometric distributions, there are several ways of introducing this concept; in the limit they all coincide with the classical version. In this way, we get some new q‐tangent and q‐secant functions.
Helmut Prodinger
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n‐Color partitions with weighted differences equal to minus two
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 759-768, 1997., 1997 In this paper we study those n‐color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence relations, generating functions, relationships with the divisor function and computer produced tables.
A. K. Agarwal, R. Balasubrananian
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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
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Snow Leopard Permutations and Their Even and Odd Threads [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 Caffrey, Egge, Michel, Rubin and Ver Steegh recently introduced snow leopard permutations, which are the anti-Baxter permutations that are compatible with the doubly alternating Baxter permutations. Among other things, they showed that these permutations
Eric S. Egge, Kailee Rubin
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An infinite version of the Pólya enumeration theorem
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 4, Page 697-700, 1992., 1991 Using measure theory, the orbit counting form of Pólya′s enumeration theorem is extended to countably infinite discrete groups.
Robert A. Bekes
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Veterinary Dermatology, Volume 36, Issue 6, Page 814-824, December 2025.Background: Gabapentin reportedly decreases central sensitisation, a disorder associated with chronic pruritus in humans, although this is not well documented in cats. Its combined use with the standard antipruritic therapy for feline atopic skin syndrome (FASS) is not yet described.
Jeanne Morency +10 more
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On Hilbert polynomial of certain determinantal ideals
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 155-162, 1991., 1989 Let X = (Xij) be an m(1) by m(2) matrix whose entries Xij, 1 ≤ i ≤ m(1), 1 ≤ j ≤ m(2); are indeterminates over a field K. Let K[X] be the polynomial ring in these m(1)m(2) variables over K. A part of the second fundamental theorem of Invariant Theory says that the ideal I[p + 1] in K[X], generated by (p + 1) by (p + 1) minors of X is prime.
Shrinivas G. Udpikar
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