1 |
T. Ernest, q-Bernoulli and q-stirling numbers, an umbral approach, Department of Mathematics, Uppsala University, SE-75106 Uppsala, Sweden. [http://www.math.uu.se/research/pub/Ernst12.pdf].
|
2 |
L. Faddeev, A. Yu. Volkov, Phys. Lett., B315(1993), 311.
|
3 |
D. B. Fairlie, q-Analysis and Quantum Groups, in Proc. of Symmetries in Sciences V, Plenum Press, New York, 1991.
|
4 |
G. Gasper, M. Rahman, Basic Hypergeometric Series, Cambridge University Press, Cambridge, 1990, 2004.
|
5 |
F. H. Jackson, Q. J. Math. Oxford Ser. 2, (1951)1.
DOI
|
6 |
Ch. Jordan, Calculus of Finite Differences, Rotting and Romwalter, Sopron, Hungary, (1939).
|
7 |
V. Kac and P. Cheung, Quantum calculus, Universitext, Springer-Verlag, New York, 2002.
|
8 |
M. Asif and M. A. Khan, q-Analogue shift operators and pseudo-polynomials of fractional order, communicated for publication.
|
9 |
M. Asif and M. A. Khan, q-Analogue of the operational methods, fractional operators and special polynomials, communicated for publication.
|
10 |
M. Asif and M. A. Khan, Generalized q-shift operators and monomial type functions, communicated for publication.
|
11 |
P. Nalli, Sopra un procedimento di calcolo analogo alla integrazione, (Italian) Palermom Rend., 47(1923), 337-374.
DOI
ScienceOn
|
12 |
P. J. Olver, Applications of Lie Group to Differential Equations, Springer-Verlag, New York, 1986.
|
13 |
M. P. Schutzenberger, Comptes Rendus des Seances de lAcademie des Sciences, 236(1953), 352-353.
|
14 |
J. F. Steffensen, Interpolation, Chelsia, 1950.
|
15 |
M. A. Ward, Calculus of sequences, Amer. J. Math., 58(1936), 255-266.
DOI
ScienceOn
|
16 |
W. Witschel, On Baker-Campbell-Hausdorff operator disentangling by similarity transformations, Phys. Lett. A, 111(1985), 383-388.
DOI
ScienceOn
|
17 |
T. Ernest, The History of q-Calculus and a new method, Licentiate Thesis, Department of Mathematics, Uppsala University, SE-75106 Uppsala, Sweden. [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.63.274&rep=rep1&type=pdf].
|
18 |
J. Cigler, Operatormethoden fur q-Identitaten, Monatshefte fur Mathematik, 88(1979), 87-105.
DOI
|
19 |
G. Dattoli and D. Levi, it Exponential oprators and generalized difference equations, Nuovo Cimento B, 115(2000), 653-662.
|
20 |
G. Dattoli, P. L.Ottaviani, A. Torre and L. Vazquez, Evolution operators equations: Integration with algebraic and finite difference methods, Applications to physical problems in classical and quantum field theory, Riv. Nuovo Cimento, 20(1997), 1-133.
|