Research Article
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Year 2020, Volume: 69 Issue: 2, 1025 - 1032, 31.12.2020
https://doi.org/10.31801/cfsuasmas.650840

Abstract

References

  • Alamoush, A. G., Darus, M., Faber polynomial Coefficients estimates for a new subclass of meromorphic bi-univalent functions, Advances in Inequalities and Applications, 2016:3 (2016).
  • Deniz, E., Certain subclasses of bi univalent functions satisfying subordinate conditions, Journal of Classical Analysis, 2(1) (2013), 49--60.
  • Deniz, E., Yolcu, H. T., Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order, AIMS Mathematics, 5(1) (2020), 640--649.
  • Deniz, E., Jahangiri, J. M., Kina, S. K., Hamidi, S. G., Faber polynomial coefficients for generalized bi-subordinate functions of complex order, Journal of Mathematical Inequalities, 12(3) (2018), 645--653.
  • Kapoor, G. P., Mishra, A. K., Coefficients estimates for inverses of starlike functions of positive order, Journal of Mathematical Analysis and Applications, 329(2) ( 2007), 922--934.
  • Çağlar, M., Deniz, E., Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator, Communications Faculty of Sciences University of Ankara Series A1-Mathematics and Statistics, 66(1) (2017), 85-91.
  • Schober, G., Coefficients of inverses of meromorphic univalent functions, Proceedings of the American Mathematical Society 67(1) (1977), 111-116.
  • Springer, G., The Coefficients problem for schlicht mappings of the exterior of the unit circle, Transactions of the American Mathematical Society, 70 (1951), 421--450.
  • Srivastava, H.M., Joshi, B.S., Joshi, S.S., Pawar, H., Coefficient estimates for certain subclasses of meromorphically bi-univalent functions, Palestine Journal of Mathematics, 5 (2016), 250--258.
  • Babalola, K. O., On λ-pseudo-starlike functions, Journal of Classical Analysis, 3 (2013), 137--147.
  • Schiffer, M., On an extremum problem of conformal representation, Bulletin de la Socit Mathmatique de France, 66 (1938), 48--55.
  • Duren, P. L., Coefficients of meromorphic schlicht functions, Proceedings of the American Mathematical Society, 28 (1971), 169--172.
  • Hamidi, S. G., Halim, S. A., Jahangiri, J. M., Coefficients estimates for a class of meromorphic bi-univalent functions, Comptes Rendus Mathematique, 351 (2013), 349--352.
  • Hamidi, S. G., Janani, T., Murugusundaramoorthy, G., Jahangiri, J.M., Coefficient estimates for certain classes of meromorphic bi-univalent functions, Comptes Rendus Mathematique, 352 (2014), 277--282.
  • Janani, T., Murugusundaramoorthy, G., Vijaya, K., New subclass of pseudo-type meromorphic bi-univalent functions of complex order, Novi Sad Journal of Mathematics, 48(1) (2018), 93--102.
  • Kubota, Y., Coefficients of meromorphic univalent functions, Kodai Mathematical Seminar Reports, 28(2-3) (1977), 253--261.

A subclass of pseudo-type meromorphic bi-univalent functions

Year 2020, Volume: 69 Issue: 2, 1025 - 1032, 31.12.2020
https://doi.org/10.31801/cfsuasmas.650840

Abstract

In this paper, In the present article, a new subclass of pseudo-type meromorphic bi-univalent functions is defined on △={z |:z∈C and 1<|z|<∞}, we derive estimates on the initial coefficient |b₀|, |b₁| and |b₂|. Relevant connections of the new results with various well-known results are indicated. Motivated by the earlier work of (Srivastava, Janani), in the present paper, we introduce a new subclasses of the class Σ′ and the estimates for the coefficients |b₀|,|b₁| and |b₂| are investigated. Some new consequences of the new results are also pointed out.

References

  • Alamoush, A. G., Darus, M., Faber polynomial Coefficients estimates for a new subclass of meromorphic bi-univalent functions, Advances in Inequalities and Applications, 2016:3 (2016).
  • Deniz, E., Certain subclasses of bi univalent functions satisfying subordinate conditions, Journal of Classical Analysis, 2(1) (2013), 49--60.
  • Deniz, E., Yolcu, H. T., Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order, AIMS Mathematics, 5(1) (2020), 640--649.
  • Deniz, E., Jahangiri, J. M., Kina, S. K., Hamidi, S. G., Faber polynomial coefficients for generalized bi-subordinate functions of complex order, Journal of Mathematical Inequalities, 12(3) (2018), 645--653.
  • Kapoor, G. P., Mishra, A. K., Coefficients estimates for inverses of starlike functions of positive order, Journal of Mathematical Analysis and Applications, 329(2) ( 2007), 922--934.
  • Çağlar, M., Deniz, E., Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator, Communications Faculty of Sciences University of Ankara Series A1-Mathematics and Statistics, 66(1) (2017), 85-91.
  • Schober, G., Coefficients of inverses of meromorphic univalent functions, Proceedings of the American Mathematical Society 67(1) (1977), 111-116.
  • Springer, G., The Coefficients problem for schlicht mappings of the exterior of the unit circle, Transactions of the American Mathematical Society, 70 (1951), 421--450.
  • Srivastava, H.M., Joshi, B.S., Joshi, S.S., Pawar, H., Coefficient estimates for certain subclasses of meromorphically bi-univalent functions, Palestine Journal of Mathematics, 5 (2016), 250--258.
  • Babalola, K. O., On λ-pseudo-starlike functions, Journal of Classical Analysis, 3 (2013), 137--147.
  • Schiffer, M., On an extremum problem of conformal representation, Bulletin de la Socit Mathmatique de France, 66 (1938), 48--55.
  • Duren, P. L., Coefficients of meromorphic schlicht functions, Proceedings of the American Mathematical Society, 28 (1971), 169--172.
  • Hamidi, S. G., Halim, S. A., Jahangiri, J. M., Coefficients estimates for a class of meromorphic bi-univalent functions, Comptes Rendus Mathematique, 351 (2013), 349--352.
  • Hamidi, S. G., Janani, T., Murugusundaramoorthy, G., Jahangiri, J.M., Coefficient estimates for certain classes of meromorphic bi-univalent functions, Comptes Rendus Mathematique, 352 (2014), 277--282.
  • Janani, T., Murugusundaramoorthy, G., Vijaya, K., New subclass of pseudo-type meromorphic bi-univalent functions of complex order, Novi Sad Journal of Mathematics, 48(1) (2018), 93--102.
  • Kubota, Y., Coefficients of meromorphic univalent functions, Kodai Mathematical Seminar Reports, 28(2-3) (1977), 253--261.
There are 16 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Adnan Alamoush 0000-0003-3687-9195

Publication Date December 31, 2020
Submission Date November 25, 2019
Acceptance Date May 16, 2020
Published in Issue Year 2020 Volume: 69 Issue: 2

Cite

APA Alamoush, A. (2020). A subclass of pseudo-type meromorphic bi-univalent functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(2), 1025-1032. https://doi.org/10.31801/cfsuasmas.650840
AMA Alamoush A. A subclass of pseudo-type meromorphic bi-univalent functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. December 2020;69(2):1025-1032. doi:10.31801/cfsuasmas.650840
Chicago Alamoush, Adnan. “A Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69, no. 2 (December 2020): 1025-32. https://doi.org/10.31801/cfsuasmas.650840.
EndNote Alamoush A (December 1, 2020) A subclass of pseudo-type meromorphic bi-univalent functions. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 2 1025–1032.
IEEE A. Alamoush, “A subclass of pseudo-type meromorphic bi-univalent functions”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 2, pp. 1025–1032, 2020, doi: 10.31801/cfsuasmas.650840.
ISNAD Alamoush, Adnan. “A Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/2 (December 2020), 1025-1032. https://doi.org/10.31801/cfsuasmas.650840.
JAMA Alamoush A. A subclass of pseudo-type meromorphic bi-univalent functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:1025–1032.
MLA Alamoush, Adnan. “A Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 2, 2020, pp. 1025-32, doi:10.31801/cfsuasmas.650840.
Vancouver Alamoush A. A subclass of pseudo-type meromorphic bi-univalent functions. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(2):1025-32.

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

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