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Fractional q-differintegral operator related to univalent functions with negative coefficients | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 2، دوره 9، شماره 2، دی 2020، صفحه 69-77 اصل مقاله (250.64 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2020.13685.1084 | ||
| نویسنده | ||
| Shahram Najafzadeh* | ||
| Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| چکیده | ||
| In this paper, we introduce a new subfamily of univalent functions defined in the open unit disk involving a fractional q-differintegral operator. Some results on coefficient estimates, weighted mean, convolution structure and convexity are discussed | ||
| کلیدواژهها | ||
| Univalent function؛ q-integral operator؛ q-differential operator؛ Convolution؛ Convex set | ||
| مراجع | ||
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[1] P. Ravi Agarwal, Certain fractional q{integrals and q{derivatives, Mathematical Proceedings of the Cambridge Philosophical Society, 66, 2 (1969) 365-370.
[2] A. Aral, V. Gupta, P. Ravi Agarwal, Applications of q{calculus in operator theory, Springer, 2013.
[3] G. Gasper, M. Rahman, G. George, Basic hypergeometric series, Cambridge university press, vol. 66, 2004.
[4] F. H. Jackson, On q-functions and a certain di erence operator, Transactions of the Royal Society of Edinburgh Earth Sciences, 46, 2 (1908), 253-281.
[5] S. D. Purohit, R. K. Raina, Certain subclasses of analytic functions associated with fractional q{calculus operators, Mathematica Scandinavica, (2011), 55-70.
[6] R. K. Raina, H. M. Srivastava, Some subclasses of analytic functions associated with fractional calculus operators, Computers & Mathematics with Applications, 37, 9 (1999), 73-84.
[7] P. M. Rajkovic, S. D. Marinkovic, M. S. Stankovic, Fractional integrals and derivatives in q{calculus, Applicable analysis and discrete mathematics, (2007), 311-323.
[8] H. M. Srivastava, M. K. Aouf, A certain fractional derivative operator and its applications to a new class of analytic and multivalent functions with negative coecients, Journal of Mathematical Analysis and Applications, 171, 1 (1992), 1-13. | ||
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