On Neighborhoods of Analytic Function Subclasses Associated with the q-Ruscheweyh Operator
DOI:
https://doi.org/10.37375/foej.v4i2.3465الكلمات المفتاحية:
Analytic، functions، neighborhoods، q-derivativeالملخص
This Abstract: In this present, we extend the notion of neighborhoods in families of analytic functions using q-derivative . A systematic study of inclusion relationships among (m, δ, q)-neighborhoods of canonically normalized analytic functions with negative coefficients is presented
المراجع
Aldweby, H. & Darus, M. (2013). A Subclass of Harmonic Univalent Functions Associated with q-Analogue of Dziok-Srivatava Operator, ISRN Mathematical Analysis, 2013(1), 1-6.
Aldweby, H.& Darus. M. (2014). Some Subordination Results on q-Analogue of Ruscheweyh Differential Operator. Abstract and Applied Analysis,2014(1),1-6.
Aldweby, H. & Darus, M. (2016). Coefficient estimates of the classes of q-starlike and convex functions, Advanced Studies in Contemporary Mathematics, 26(1),21-26.
ALTINTAS, O. & OWA, S. (1996). Neighborhoods of certain analytic functions with negative coefficients, International Journal Mathematics and Mathematical Sciences, 19(4) ,797-800.
Anastassiou, G. A. & Gal, S. G. (2006). Geometric and approximation properties of generalized singular integrals in the unit disk, J. Korean Math. Soc., 43 (2), 425-443.
Aral, A. (2006). On the generalized Picard and Gauss Weierstrass singular integrals, Journal of Computational Analysis & Applications, 8(3),246-261.
Aral, A. & Gupta, V. (2010). On the Durrmeyer type modification of the q-Baskakov type operators, non linear, 72(3), 1171-1180.
Aral, A. & Gupta V. (2011). Generalized q-Baskakov operators, Mathematica Slovaca, 61(4),619-534.
Goodman, A. W. (1957). Univalent functions and nonanalytic curves. Proceedings of the American Mathematical Society, 8(3), 598-601.
Jackson, F. H. (1908). On q- functions and a certain difference operator. Transactions of the Royal Society of Edinburgh, 46(1), 253-281.
Jackson, F. H. (1910). On q- definite integral. The Quarterly Journal of Pure and Applied Mathematics, 41(15), 193-203.
Ma, W. C. & Minda, D. (1992). A unified treatment of some special classes of univalent functions, in Proceeding of the Conference on Complex Analysis, International Press lnc.
Ruscheweyh, S. (1975). New criteria for univalent functions", Proceedings of the American Mathematical Society, 49(1), 109-115.
Ruscheweyh, S. (1981). Neighborhoods of univalent functions. Proceedings of the American Mathematical Society, 81(4), 521-527.
Seoudy, T. M. & Aouf, M. K. (2016). Coefficient estimates of new classes of qstarlike and q-convex functions of complex order, Journal of Mathematics Inequalities, 10(1),135-145.
