Volume 69 | Issue 2 | Year 2023 | Article Id. IJMTT-V69I2P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V69I2P518
Received | Revised | Accepted | Published |
---|---|---|---|
11 Jan 2023 | 13 Feb 2023 | 24 Feb 2023 | 28 Feb 2023 |
In the present article, by making use of linear multiplier fractional q-differ integral operator we define new subclass of analytic function and discuss some important properties of the class.
[1] F.M. Al-Oboudi, “On Univalent Functions Defined by a Generalized SaLaGean Operator,” International Journal of Mathematics and Mathematical Science, vol. 2004, pp. 1429-1436, 2004. Crossref, https://doi.org/10.1155/S0161171204108090
[2] Annapoorna S, Deepthi K M and C . Goutham, “A Note Q-SaLaGean Type NegativeFunctions,” Gradiva Review Journal, vol.7, no. 10, pp. 152-159, 2021. Crossref, https://doi.org/10.37897.GRJ.2021.V7I9.21.384
[3] A. O. Mostafa, “A Study on Starlike and Convex Properties for HypergeometricFunctions,” Journal of Inequalities in Pure and Applied Mathematics, vol. 10, no. 3, 2009.
[4] L. Dileep, and S Latha, “A Note on Convolution Conditions,” International Journal of Mathematics Trends and Technology, vol. 6, no. 2, pp. 189-191, 2014.
[5] L. Dileep, and S Latha, “Neighborhood Properties of Ruscheweyh Type Analytic Functions,” International Journal of Mathematics Trends and Technology, vol. 9, no. 3, pp. 189-191, 2014.
[6] N. Ravikumar, L. Dileep, and S Latha, “Subclasses of Analytic Functions Associated with Hypergeometric Functions,” International Journal of Mathematics Trends and Technology, vol. 30, no. 1, pp. 16-22, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTTV30P503
[7] Annapoorna S and Dr Dileep L, Application of linear multiplier fractional q-differintegral operator on analytic functions, International Journal of Mathematics Trends and Technology ( Accpeted for Publucation)
[8] Grigore Stefan Salagean, “Subclasses of Univalent Functions,” Lecture Notes in Mathematics, Springer-Verlag, pp. 362-372, 1983. Crossref, https://doi.org/10.1007/BFb0066543
[9] N. Ravikumar, L. Dileep, and S Latha, “A Note on Al-Oboudi Type Functions,” The Journal of Rajasthan Academy of Physical Sciences, vol. 9, no. 2, pp. 155-164, 2010.
[10] Stephan Ruscheweyh, “New Criteria for Univalent Functions,” Proceedings of American Mathematical Society, vol. 49, no. 1, pp. 109-115, 1975. Crossref, https://doi.org/10.2307/2039801
[11] P. L. Duren, Univalent functions, Springer-Verlag, 1983.
[12] Dileep L and Mallige Rajeev, “Convolution Operators in Geometric Function Theory,” GIS Science Journal, vol.7, no.7, pp. 473- 483, 2020. Crossref, https://doi.org/20.18001.GSJ.2020.V7I7.20.35571
[13] L. Dileep, and S. Latha, “Certain Subclasses of Analytic Functions Involving Salagean- Ruscheweyh Operator,” Vietnam Journal of Mathematics, vol.38, no. 4, pp. 403-412, 2010.
[14] A.W. Goodman, Univalent functions, Marnier Publication Company, 1983.
[15] A.W. Goodman, “On Uniformly Convex Functions, Annales of Polon Mathematics, vol. 56, no. 1, pp. 87-92, 1991.
[16] Cho, Nak-Eun, and Kim, Tae-Hwa, “Multiplier Transformation and Strongly Close - To - Convex Functions,” Bullatien of Korean Mathematical Society, vol. 40, no. 3, pp. 399 - 410, 2003. Crossref, https://doi.org/10.4134/BKMS.2003.40.3.399
[17] S.D Bernardi, Bibliography of Schlicht functions, Mariner Publication Company, 1983.
[18] Ch. Pommerenke, Univalent functions, Vandenhoeck & Ruprecht, Gottingen, 1975.
[19] M. S, Ganesan, “On Certain Classes of Analytic Functions,” Indian Journal of Pure and Applied Mathematics, vol. 13, no. 1, pp. 47-57, 1982.
[20] Z. Nehari, Conformal Mapping, McGraw Hill Book Company, 1952.
[21] K.S, Padmanabhan, “On Certain Classes of Starlike Functions in the Unit Disc,” The Journal of the Indian Mathematical Society, vol. 32, pp. 89-103, 1968.
[22] G.Lakshma Reddy, and K.S. Padmanabhan, On Analytic Functions wih Reference to the Bernardi Integral Operator, Bulletin of the Australian Mathematical Society, vol. 25, no. 3, pp. 387-396, 1982.
[23] M.S, Roberston, “On the Theory of Univalent Functions,” Annals of Mathematics, vol. 37, pp. 374-406, 1936.
[24] Dorothy Browne Shaffer, “Distortion Theorems for a Special Class of Analytic Functions,” Proceedings of the American Mathematical Society, vol. 39, no. 2, pp. 281-287, 1973. Crossref, https://doi.org/10.2307/2039632
[25] L. Dileep, and S.V. Divya Rashmi, “Certain Subclasses of Analytic Function by SALAGEAN q-Differential Operator,” TWMS Journal of Applied and Engineering Mathematics, vol. 13, no. 1, pp. 46-52, 2023.
S. Annapoorna, L. Dileep, "Application of Linear Multiplier Fractional Q-Differintegral Operator on Analytic Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 69, no. 2, pp. 155-159, 2023. Crossref, https://doi.org/10.14445/22315373/IJMTT-V69I2P518