Research Article

A new subclass of meromorphic functions defined by Rapid operator

Volume: 70 Number: 2 December 31, 2021
EN

A new subclass of meromorphic functions defined by Rapid operator

Abstract

We present and investigate a new subclass of meromorphic univalent functions described by the Rapid operator in this study. Coefficient inequalities is discussed, as well as distortion properties, closure theorems, Hadamard product. After this, integral transforms for the class  $\sum^{*}(\vartheta,\varrho,\wp,\theta,\mu)$ are obtained.  Σ∗(ϑ,ϱ,λ,θ,μ).

Keywords

References

  1. Akgul, A., A certain subclass of meromorphic functions with positive coefficients associated with an integral operator, Honam Math. J., 39(3) (2017), 331-347. https://doi.org/10.1016/j.mcm.2010.12.051
  2. Akgul, A., A new subclass of meromorphic functions with positive and fixed second coefficients defined by the Rapid-Operator, Commun. Fac. Sci. Univ. Ank. Series-A1, 66(2) (2017), 1-13. DOI: 10.1501/Commua10000000796
  3. Aqlan, E., Jhangiri, J. M., Kulkarni, S. R., Class of k-uniformly convex and starlike functions, Tamkang, J. Math., 35 (2004), 261-266. https://doi.org/10.5556/j.tkjm.35.2004.207
  4. Aydogan, S. M., Sakar, F. M., Radius of starlikeness of p-valent lambda fractional operator, Applied Mathematics and Computation, 357 (2019), 374-378. https://doi.org/10.1016/j.amc.2018.11.067
  5. Aydogan, S. M., Sakar, F. M., On convex functions with complex order through bounded boundary rotation, Mathematics in Computer Science, 13 (2019), 433-439. https://doi.org/10.1007/s11786-019-00405-8
  6. Jung, I. S., Kim, Y. C., Srivastava, H. M., The Hardy spaces of analytic functions associated with certain one parameter families of integral operators, J. Math. Anal. Appl., 176(1) (1993), 138-147. https://doi.org/10.1006/jmaa.1993.1204
  7. Lashin, A. Y., On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl., 59(1) (2010), 524-531. https://doi.org/10.1016/j.camwa.2009.06.015
  8. Miller, J. E., Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220ñ228. https://doi.org/10.1090/S0002-9939-1970-0259098-7

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

December 3, 2020

Acceptance Date

March 7, 2021

Published in Issue

Year 2021 Volume: 70 Number: 2

APA
Venkateswarlu, B., Thırupathı Reddy, P., A, S., & Settıpallı, S. (2021). A new subclass of meromorphic functions defined by Rapid operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 70(2), 858-870. https://doi.org/10.31801/cfsuasmas.835272
AMA
1.Venkateswarlu B, Thırupathı Reddy P, A S, Settıpallı S. A new subclass of meromorphic functions defined by Rapid operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70(2):858-870. doi:10.31801/cfsuasmas.835272
Chicago
Venkateswarlu, B, P. Thırupathı Reddy, Sujatha A, and Srıdevı Settıpallı. 2021. “A New Subclass of Meromorphic Functions Defined by Rapid Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 (2): 858-70. https://doi.org/10.31801/cfsuasmas.835272.
EndNote
Venkateswarlu B, Thırupathı Reddy P, A S, Settıpallı S (December 1, 2021) A new subclass of meromorphic functions defined by Rapid operator. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70 2 858–870.
IEEE
[1]B. Venkateswarlu, P. Thırupathı Reddy, S. A, and S. Settıpallı, “A new subclass of meromorphic functions defined by Rapid operator”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 70, no. 2, pp. 858–870, Dec. 2021, doi: 10.31801/cfsuasmas.835272.
ISNAD
Venkateswarlu, B - Thırupathı Reddy, P. - A, Sujatha - Settıpallı, Srıdevı. “A New Subclass of Meromorphic Functions Defined by Rapid Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 70/2 (December 1, 2021): 858-870. https://doi.org/10.31801/cfsuasmas.835272.
JAMA
1.Venkateswarlu B, Thırupathı Reddy P, A S, Settıpallı S. A new subclass of meromorphic functions defined by Rapid operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021;70:858–870.
MLA
Venkateswarlu, B, et al. “A New Subclass of Meromorphic Functions Defined by Rapid Operator”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 70, no. 2, Dec. 2021, pp. 858-70, doi:10.31801/cfsuasmas.835272.
Vancouver
1.B Venkateswarlu, P. Thırupathı Reddy, Sujatha A, Srıdevı Settıpallı. A new subclass of meromorphic functions defined by Rapid operator. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2021 Dec. 1;70(2):858-70. doi:10.31801/cfsuasmas.835272

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.