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Certain basic information related to the Tremblay operator and some applications in connection therewith Cover

Certain basic information related to the Tremblay operator and some applications in connection therewith

By: Hüseyin Irmak  
Open Access
|Mar 2020

References

  1. [1] O. Altıntaş, H. Irmak, H. M. Srivastava, Fractional calculus and certain starlike functions with negative coefficients, Comput. Math. Appl., vol. 30, no. 2, 1995, 9-15.10.1016/0898-1221(95)00073-8
  2. [2] M. P. Chen, H. Irmak, H. M. Srivastava, Some families of multivalently analytic functions with negative coefficients, J. Math. Anal. Appl., vol. 214, no. 2, 1997, 674-690.10.1006/jmaa.1997.5615
  3. [3] M. P. Chen, H. Irmak, H. M. Srivastava, A certain subclass of analytic functions involving operators of fractional calculus, Comput. Math. Appl., vol. 35, no. 2, 1998, 83-91.10.1016/S0898-1221(98)00007-8
  4. [4] P. L. Duren, Grundlehren der Mathematischen Wissencha en, Springer-Verlag, New York, Berlin, Heidelberg, Tokyo, 1983.
  5. [5] Z. Esa, H. M. Srivastava, A. Kılıçman, R. W. Ibrahim, A novel subclass of analytic functions specified by a family of fractional derivatives in the complex domain, Filomat, vol. 31, no. 9, 2017, 2837-2849.10.2298/FIL1709837E
  6. [6] H. Irmak, Certain complex equations and some of their implications in relation with normalized analytic functions, Filomat, vol. 30, no. 12, 2016, 3371-3376.10.2298/FIL1612371I
  7. [7] H. Irmak, Some novel applications in relation with certain equations and inequalities in the complex plane, Math. Commun., vol. 23, no. 1, 2018, 9-14.
  8. [8] H. Irmak, The ordinary differential operator and some of its applications to pvalently analytic functions, Electron. J. Math. Anal. Appl., vol. 4, no. 1, 2016, 205-210.
  9. [9] H. Irmak, The fractional differ-integral operators and some of their applications to certain multivalent functions, J. Fract. Calc. Appl., vol. 8, no. 1, 2017, 99-107.
  10. [10] H. Irmak, R. K. Raina, Some applications of generalized fractional calculus operators to a novel class of analytic functions with negative coefficients, Taiwanese J. Math., vol. 8, no. 3, 2004, 443-452.10.11650/twjm/1500407664
  11. [11] H. Irmak, B. A. Frasin, An application of fractional calculus and its implications relating to certain analytic functions and complex equations, J. Fract. Calc. Appl., vol. 6, no. 2, 2015, 94-100.
  12. [12] H. Irmak, P. Agarwal, Some comprehensive inequalities consisting of Mittag-Leffler type functions in the complex plane, Math. Model. Nat. Phenom., vol. 12, no. 3, 2017, 65-71.10.1051/mmnp/201712306
  13. [13] H. Irmak, P. Agarwal, Comprehensive Inequalities and Equations Specified by the Mittag-Leffler Functions and Fractional Calculus in the Complex Plane. In: Agarwal P., Dragomir S., Jleli M., Samet B. (eds) Advances in Mathematical Inequalities and Applications. Trends in Mathematics. Birkhauser, Singapore, 2018.10.1007/978-981-13-3013-1_15
  14. [14] M. Şan, H. Irmak, A note on some relations between certain inequalities and normalized analytic functions, Acta Univ. Sapientiae Math., vol. 10, no. 2, 2018, 368-374.10.2478/ausm-2018-0028
  15. [15] M. Nunokawa, On properties of non-Caratheodory functions, Proc. Japan Acad. Ser. A Math. Sci., vol. 68, no. 6, 1992, 152-153.10.3792/pjaa.68.152
  16. [16] S. Owa, On the distortion theorems. I, Kyungpook Math. J., vol. 8, no. 1, 1978, 53-59.
  17. [17] H. M. Srivastava, S. Owa (Editors), Univalent functions, fractional calculus and their applications, Halsted Press, John Wiley and Sons., New york, Chieschester, Brisbane, Toronto, 1989.
  18. [18] R. W. Ibrahim, J. M. Jahangiri, Boundary fractional differential equation in a complex domain, Boundary Value Prob., Article ID 66, 2014, 1-11.10.1186/1687-2770-2014-66
DOI: https://doi.org/10.2478/gm-2019-0011 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023
Language: English
Page range: 13 - 21
Submitted on: May 18, 2019
Accepted on: Dec 16, 2019
Published on: Mar 20, 2020
Published by: Lucian Blaga University of Sibiu
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Hüseyin Irmak, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.