A note on meromorphic functions with positive coefficients associated wth Bessel function
Downloads
DOI:
https://doi.org/10.26637/MJM0804/0050Abstract
The aim of the present paper is to introduce a new subclass of meromorphic functions with positive coefficients defined by a certain integral operator and obtain coefficient inequality, convex linear combinations, extreme point, radii of close-to-convexity, starlikeness, convexity, Hadamard product and integral transforms for the functions \(f\) in this class.
Keywords:
Meromorphic, starlikeness,, coefficient inequality, Hadamard productMathematics Subject Classification:
Mathematic- Pages: 1622-1628
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
A. Akgul, A certain subclass of meromorphic functions with positive coefficients associated with an integral operator, Honam Math. J., 39(3) (2017), 331-347.
A. Akgul, A new subclass of meromorphic functions with positive and fixed second coefficients defined by the Rapid-Operator, Commun. Fac. Sci. Univ. Ank. SeriesA1, 66 (2)(2017), 1-13.
E. Aqlan, J. M. Jhangiri and S. R. Kulkarni, Class of $K$-uniformly convex and starlike functions, Tamkang J. Math., 35 (2004), 261-266.
W. G. Athsan and S. R. Kulkarni, Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivate I, J. Rajasthan, Acad. Phy. Sci., $6(2)(2007), 129-140$.
J. Clunie, On meromorphic schilict functions, J. London Math. Soc., 34(1959), 115-216.
E. Deniz, H. Orhan and H. M. Srivastava, Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwanese J. Math., 15(2)(2011), 883-917.
P.L. Duren, Univalent Functions, Springer, New York, NY, USA, 1983.
R. M. Goel and N. S. Sohi, On a class of meromorphic functions, Glasnik Math. Ser. III, 17(1981), 19-28.
O. P. Juneja and T. R. Reddy, Meromorphic starlike univalent functions with positive coefficients, Ann. Univ. Mariae Curie Sklodowska, Sect. A, 39(1985), 65-76.
J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25(1970), 220-228.
F. Muge Sakar and H. OzlemGuney, On meromorphic functions with fixed residue defined using convolution, Scientific Research and Essays, 8(31)(2013), 1532-1539.
F. Muge Sakar and H.OzlemGuney, On a new subclass of harmonic meromorphic functions with fixed residue $xi$, TWMS Journal of Applied and Engg. Math., 4(1)(2014), 92-97.
Ch. Pommerenke, On meromorphic starlike functions, Pac. J. Math., 13(1963), 221-235.
W. C. Royster, Meromorphic starlike univalent functions, Trans. Amer. Math. Soc., 107(1963), 300-308.
B. Venkateswarlu, P. Thirupathi Reddy and N. Rani, Certain subclass of meromorphically uniformly convex functions with positive coefficients, Mathematica (Cluj), 61 (84)(2019), 85-97 .
G. N. Watson, A Treatise on the Theory of Bessel Functions, 2nd edn. Cambridge University Press, Cambridge, (1994).
- NA
Similar Articles
- John K. Rajan, T.K. Mathew Varkey, B. Sunoj , Construction of larger singular and nonsingular graphs using a path , Malaya Journal of Matematik: Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
You may also start an advanced similarity search for this article.
Metrics
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 MJM
This work is licensed under a Creative Commons Attribution 4.0 International License.
