New adventures in the land of -analogues (Yang-Baxter equations). (Nouvelles aventures au pays des -analogues (équation de Yang-Baxter).)
Displaying 61 – 80 of 123
Noncommutative Sylvester's determinantal identity.
Konvalinka, Matjaž (2007)
The Electronic Journal of Combinatorics [electronic only]
On a generalized recurrence for Bell numbers.
Katriel, Jacob (2008)
Journal of Integer Sequences [electronic only]
On a theorem of Landau. (Sur un théorème de Landau.)
Picon, P.-A. (1983)
Séminaire Lotharingien de Combinatoire [electronic only]
On another extension of -Pfaff-Saalschütz formula
Mingjin Wang (2010)
Czechoslovak Mathematical Journal
In this paper we give an extension of -Pfaff-Saalschütz formula by means of Andrews-Askey integral. Applications of the extension are also given, which include an extension of -Chu-Vandermonde convolution formula and some other -identities.
On certain generalized q-Appell polynomial expansions
Thomas Ernst (2015)
Annales UMCS, Mathematica
We study q-analogues of three Appell polynomials, the H-polynomials, the Apostol-Bernoulli and Apostol-Euler polynomials, whereby two new q-difference operators and the NOVA q-addition play key roles. The definitions of the new polynomials are by the generating function; like in our book, two forms, NWA and JHC are always given together with tables, symmetry relations and recurrence formulas. It is shown that the complementary argument theorems can be extended to the new polynomials as well as to...
On derangement polynomials of type .
Chow, Chak-On (2005)
Séminaire Lotharingien de Combinatoire [electronic only]
On Kadell's two conjectures for the -Dyson product.
Zhou, Yue (2011)
The Electronic Journal of Combinatorics [electronic only]
On multiple interpolation functions of the Nörlund-type -Euler polynomials.
Açıkgöz, Mehmet, Simsek, Yilmaz (2009)
Abstract and Applied Analysis
On -binomial coefficients.
Corcino, Roberto B. (2008)
Integers
On partitions with difference conditions.
Santos, José Plínio O., Mondek, Paulo (2000)
International Journal of Mathematics and Mathematical Sciences
On q-Euler numbers, q-Salié numbers and q-Carlitz numbers
Hao Pan, Zhi-Wei Sun (2006)
Acta Arithmetica
On some arithmetical properties of the Genocchi numbers and polynomials.
Park, Kyoung Ho, Kim, Young-Hee (2008)
Advances in Difference Equations [electronic only]
On some partitions related to .
Patkowski, Alexander E. (2009)
The Electronic Journal of Combinatorics [electronic only]
On the k-gamma q-distribution
Rafael Díaz, Camilo Ortiz, Eddy Pariguan (2010)
Open Mathematics
We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.
On the least common multiple of -binomial coefficients.
Guo, Victor J.W. (2010)
Integers
On the -analogue of the sum of cubes.
Warnaar, S. Ole (2004)
The Electronic Journal of Combinatorics [electronic only]
On the symmetries of the -Bernoulli polynomials.
Kim, Taekyun (2008)
Abstract and Applied Analysis
-partitions and a multi-parameter Klyachko idempotent.
McNamara, Peter, Reutenauer, Christophe (2005)
The Electronic Journal of Combinatorics [electronic only]
Parameter augmentation for two formulas.
Zhang, Caihuan (2006)
The Electronic Journal of Combinatorics [electronic only]