References
- M. Aigner, Combinatorial Theory, Springer-Verlag, New York, 1979
- G. E. Andrews, R. Askey, and R. Roy, Special; Functions Cambridge, England, Cambridge University Press, 1999
- L. Carlitz, q-Bernouili numbers and polynomials, Duke Math. J. 15 (1948), 987-1000 https://doi.org/10.1215/S0012-7094-48-01588-9
- L. Carlitz, Multiplication formulas for products of Bernoulli and Euler polynomials, Pacific J. Math. 9 (1959), 661-666 https://doi.org/10.2140/pjm.1959.9.661
- A. Cauchy, Oeuvres, Ser. I, Vol. 8, Gauthier-Villars, Paris, 1893
- K. Conrad, A q-unaloque of Mahler expansions I, Adv. Math. 153 (2000), 185-230 https://doi.org/10.1006/aima.1999.1890
- K. Dilcher, On Generalized Gamma functions related to the Laurent coefficients of the Riemann zeta function, Aequationes Math. 48 (1994), 55-85 https://doi.org/10.1007/BF01837979
- H. Exton, q-Hypergeometric Functions and Applications, New York, Halstead Press, 1983
- R. Fray, Congruence properties of ordinary and q-binomial coefficients, Duke Math. J. 34 (1967), 467-480 https://doi.org/10.1215/S0012-7094-67-03452-7
- G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge Univ. Press, Cambridge, Uk, 1990
- L. Hellstrom and S. D. Silvestrov, Commuting Elements in q-Deformed Heisenberg Algebras, World Scientific Publishing co.pte.Ltd 2000
- M. E. H. Ismail, D. R. Masson, and M. Rahman, Special Functions, q-Series and Related Topics, Amer. Math. Soc. 1997
- F. H. Jackson, On q-functions and a certain difference operator, Trans. Roy. Soc. Edinburgh 46 (1908), 253-281
- C. Jordan, Calculus of finite differences, Third Edition, Introduction by Harry C. Carver, Chelsea Publishing Co., New York, 1965
- M.-S. Kim and J.-W. Son, A note on q-difference operators, Commun. Korean Math. Soc. 17 (2002), 423-430 https://doi.org/10.4134/CKMS.2002.17.3.423
- A. N. Kirillov, Dilogarithm identities, Progress Theor. Phys. Supplement, 118 (1995), 61-142 https://doi.org/10.1143/PTPS.118.61
- N. Koblitz, q-Extension o] the p-adic gamma junction, Trans. Amer. Math. Soc. 260 (1980),449-457 https://doi.org/10.2307/1998014
- R. Koekoek and R. F. Swarttouw, The Askey-Scheme of Hypergeometric Orthogonal Polynomials and its q-Analogue, Delft, Netherlands: Technische Universiteit Delft, Faculty of Technical Mathematics and Informatics Report 98-17, p.7, 1998
- W. Koepf, Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, p.26, 1998
- C. Lee, Introduction to Combinatorics, Kyowoo Publishing Company, Seoul Korea, 2000
- N. Ja. Vilenkin and A. U. Klimyk, Representation of Lie Groups and Special Functions. Vol.III. Kluwer Academic Publishers. Netherlands. 1991
- V. S. Vladimirov, I. V. Volovich, and E. I. Zelenov p-Adic Analysis and Mathematical Physics, Series on Soviet & East European Mathematics, Vol. I, World Scientific, Singapore, 1994