Nov 10, 2013 - For an integer sequence an, that is, an element of ZN, the power series ..... of this type may be found for instance in the On-Line Encyclopedia.

Many interesting examples of sequences and Riordan arrays can be found in Neil Sloane's. On-Line Encyclopedia of Integer Sequences (OEIS), [24, 25].

the canonical form of ρ(n, m). The remarkable structure of canonical forms, namely, a binomial coefficient multiplied by a factor cmFn−m(m), implies the following.

Dec 20, 2017 - CO] 20 Dec 2017. Weighted Lattice Paths Enumeration by Gaussian. Polynomials. Ivica Martinjak. Faculty of Science, University of Zagreb.

Feb 13, 2017 - 2 Exponential Riordan arrays and the derivative sub- ...... C. Krattenthaler, Advanced determinant calculus, in Foata, D. and Han, G.-N. (Eds.),.

Nov 18, 2013 - The confluent limit of the generalized Jacobi-Trudy formula ... where W (y1, ..., ym | x) denotes the Wronskian of the family of functions y1, ..., ym.

Jun 16, 2016 - called the sequence associated to P. Its general term an is given by an = uT ..... Clearly, for the first expression, we only need to show that ...... 0,x+1,x2 +2x+1,x3 +2x2 +3x+2,x4 +2x3 +4x2 +6x+3,x5 +2x4 +5x3 +8x2 ..... 1, 1, −2,

Open Journal of Discrete Mathematics, 2011, 1, 89-95 ... Center for Advanced Study in Mathematics, Panjab University, Chandigarh, India. E-mail: [email protected], ...... [1] A. K. Agarwal and G. E. Andrews, “Rogers-Ramanujan. Identities for ...

ORTHOGONAL POLYNOMIALS. Ira M. Gessel. Department of Mathematics, Brandeis University,. P.O. Box 9110, Waltham, MA 02254-9110. Revised September ...

As it usually is, we define the ladder operators (annihilation) a− and ..... [x, q] we obtain the deformed oscillator ([8],[9]) and the quantum group SUq(2). 2. If B(x) ...