On a q-Extension of the Leibniz Rule via Weyl Type of q-Derivative Operator

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참고문헌 (15)

1. R. P. Agarwal, "Fractional q-derivatives and q-integrals and certain hypergeometric transformations", Ganita, 27, pp.25~32 (1976)
2. W. A. Al-Salam, "Some fractional q-integrals and q-derivatives", Proc. Edin. Math. Soc., 15, pp.135~140 (1966)
3. W. A. Al-Salam, "A fractional Leibniz q-formula", Pacific J. Math., 60(2), pp.1~9 (1975)
4. R. Y. Denis, "On certain special transformations of poly-basic hypergeometric func-tions", The Math. Student, 51(1), pp.121~125 (1983)
5. G. Gasper, "Basic Hypergeometric Series" (1990), Cambridge University Press
6. T. Kim, "q-extension of the Euler formula and trigonometric functions", Russ. J. Math. Phys., 14(3), pp.275~278 (2007)
7. T. Kim, "On the q-extension of Euler and Genocchi numbers", J. Math. Anal. Appl., 326(2), pp.1458~1465 (2007)
8. T. Kim, "A note on the q-integral and q-series", Adv. Stud. Contemp. Math., 2, pp.37~45 (2000)
9. R. Kumar, "Fractional q-derivatives and a class of expansions of basic hypergeometric functions", A Quart. J. Pure Appl. Math., 66(3), pp.295~310 (1992)
10. K. S. Miller, "An Introduction to The Fractional Calculus and Differential Equations" (1993), A Wiley Interscience Publication, John Wiley and Sons Inc.
11. R. K. Saxena, "A basic analogue of Fox's H-function", Rev. Tec. Ing. Univ. Zulia, 6, pp.139~143 (1983)
12. H. L. Shukla, "Certain results involving basic hypergeometric functions and fractional q-derivative", The Math. Student, 61(1), pp.107~112 (1992)
13. L. J. Slater, "Generalized Hypergeometric Functions" (1966), Cambridge University Press
14. R. K. Yadav, "Fractional q-derivatives and certain basic hypergeo-metric transformations", South East Asian J. Math. and Math. Sc., 2(2), pp.37~46 (2004)
15. R. K. Yadav, "On fractional q-derivatives and transformations of the generalized basic hypergeometric functions", J. Indian Acad. Math., 28(2), pp.321~326 (2006)

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