References: [1] Shapiro, L. W. (1981). A Combinatorial Proof of a Chebyshev Polynomial Identity, Discrete Mathematics, vol. 34, p. 203-206. [2] Viennot, G. (1983). Une Theorie Combinatoire des Polynomes Orthogonaux Generaux, Notes from a conference at the Universite du Quebec a Montreal. [3] Andrews, G. E. (1976). The Theory of Partitions, Encyclopedia of Math., vol. 2, Addison-Wesley. [4] Stanley, R. P. (2000). Enumerative Combinatorics, vol. 1, Cambridge University Press. [5] Benjamin, A. T. Quinn, J. J. (2003). Proofs that Really Count, vol. 27, Washington, DC. [6] Drake, D. (2009). The Combinatorics of Associated Hermite Polynomials, European Journal of Combinatorics, vol. 30, p. 1005-1021. [7] Little, D. P., Sellers, J. A. (2010). A Tiling Approach to Eight Identities of Rogers, European Journal of Combinatorics, vol. 31, p. 694-709. [8] Stanton, D. (2000). Orthogonal Polynomials and Combinatorics, Special Functions 2000, Kluwer, p. 389-411. [9] Rajkovi, P. M., Marinkovi, S. D., Stankovi, M. S. (2008). Differential and Integral Calculus of Basic Hypergeometric Functions, (In Serbian) Niš. [10] Exton, H. (1983). q-Hypergeometric Functions and Applications. [11] Noreanini, R., Tourneux, J. L., Viea, L. (1995). More on the qoscillator Algebra and q-orthogonal Polynomials, I. Phys. A: Math Gen., vol. 28, p L287-LZ93. [12] Stankovi, M. S., Marinkovi, S. D., Rajkovi, P. M. (2011). The Deformed Exponential Functions of Two Variables in the Context of Various Statistical Mechanics, Applied Mathematics and Computation, vol. 218, p. 2439-2448. [13] Flajolet, P., Sedgewick, R. (2009). Analytic Combinatorics, Cambridge University Press. [14] Bartschi, A., Geissmann, B., Graf, D., Hruz, T., Penna, P., Tschager, T. On Computing the Total Displacement Number via Weighted Motzkin Paths, arXiv:1606.05538v1 [cs.DS] |