Certain subclasses of Pseudo-type meromorphic bi-univalent functions

Adnan Alamoush

doi:10.26637/mjm1001/004

Abstract

In the present article, we define a new subclasses of pseudo-type meromorphic bi-univalent functions defined on $\triangle=\{z : z\in C and 1<|z|<\ infty \}$, and investigate the initial coefficient estimates $|b_{0}|$ and $|b_{1}|$. Further, several earlier results are also indicated.

Keywords:

Analytic functions, Univalent functions, Meromorphic univalent functions, Bi-Univalent functions, Meromorphic Bi-Univalent functions, Pseudo functions

Mathematics Subject Classification:

30C50, 33C05

Authors Imprint References Funding Related Articles Downloads

Adnan Alamoush Faculty of Science, Department of Mathematics, Taibah University, Madinah, Saudi Arabia.

Pages: 47-54
Date Published: 01-01-2022
Vol. 10 No. 01 (2022): Malaya Journal of Matematik (MJM)

A. A. Amourah, A. G. Al Amoush and M. Al-Kaseasbeh, Gegenbauer Polynomials and Bi-univalent Functions, Palestine Journal of Mathematics, 10(2)(2021), 625-632.

A. A. Amourah, Faber polynomial coefficient estimates for a class of analytic bi-univalent functions, AIP Conference Proceedings, 2096(1)(2019), 020024.

A. G. Alamoush, Coefficient Estimates for New Subclass of Pseudo-Type Meromorphic Bi-Univalent Functions, Italian Journal of Pure and Applied Mathematics, (46), accepted.

A. G. Alamoush, A subclass of pseudo-type meromorphic bi-univalent functions, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., 69(2)(2020), 1025-1032.

A. G. Alamoush, Certain subclasses of bi-univalent functions involving the Poisson distribution associated with Horadam polynomials, Malaya Journal of Matematik, 7(2018), 618-624.

A. G. Alamoush, Coefficient Estimates for Certain Subclass of Bi-Bazilevic Functions Associated With Chebyshev Polynomials, Acta Universitatis Apulensis, 60(2019), 53-59.

A. G. Alamoush, Coefficient estimates for a new subclasses of lambda-pseudo bi-univalent functions with respect to symmetrical points associated with the Horadam Polynomials, Turkish Journal of Mathematics, 3, 2865-2875.

A. G. Alamoush, On subclass of analytic bi-close-to-convex functions, Int. J. Open Problems Complex Analysis, 13(1)(2021), 10-18.

A. G. Alamoush, On a subclass of bi-univalent functions associated to Horadam polynomials, International Journal of Open Problems in Complex Analysis, 12(1)(2020), 58-56.

A. G. Alamoush and M. Darus, Coefficient bounds for new subclasses of bi-univalent functions using Hadamard product, Acta Universitatis Apulensis, (2014), 153-161.

A. G. Alamoush and M. Darus, Coefficients estimates for bi-univalent of fox-wright functions, Far East Journal of Mathematical Sciences, (2014), 249-262.

A. G. Alamoush and M. Darus, Faber polynomial Coefficients estimates for a new subclass of meromorphic bi-univalent functions, Advances in Inequalities and Applications, (2016), 2016:3.

A. G. Alamoush and M. Darus, On coefficient estimates for new generalized subclasses of bi-univalent functions, AIP Conference Proceedings, 1614(2014), 844.

G. P. KAPoor And A.K. Mishra, Coefficients estimates for inverses of starlike functions of positive order, J. Math. Anal. Appl., 329(2)(2007), 922-934.

G. Schobe, Coefficients of inverses of meromorphic univalent functions, Proc. Amer. Math. Soc., 67(1)(1977), 111-116.

G. Springer, The Coefficients problem for schlicht mappings of the exterior of the unit circle, Trans. Amer. Math. Soc., 70(1951), 421-450.

H. M. Srivastava, B. Santosh Joshi, S. Sayali Joshi, H. Pawar, Coefficient estimates for certain subclasses of meromorphically bi-univalent functions, Pal. Jour. Math., 5(2016), 250-258.

K. O. Babalola, On $lambda$-pseudo-starlike functions, Jour. Class. Anal., 3(2013), 137-147.

M. SchIffer, On an extremum problem of conformal representation, Bull. de la Soc. Math. de Fra., 66(1938), 48-55.

P. L. Duren, Coefficients of meromorphic schlicht functions, Proc. Amer. Math. Soc., 28(1971), 169-172.

S. G. Hamidi, S.A. Halim, J.M. Jahangiri, Coefficients estimates for a class of meromorphic bi-univalent functions, C. R. Acad. Sci. Paris Sér. I, 351(2013), 349-352.

Y. Kubota, Coefficients of meromorphic univalent functions, Kod. Math. Sem. Rep., 28(2-3)(1977), 253261.