Year 2019,
Volume: 7 Issue: 1, 38 - 45, 15.04.2019
P. Thirupathi Reddy
,
B. Venkateswarlu
,
S. Sreelakshmi
References
-
[1] A. Akgul and S. Bulut, On a certain subclass of meromorphic functions defined by Hilbert space operator, Acta Universitatis Apulensis, (45) (2016), 1-9.
-
[2] A. Akgul, A certain subclass of meromorphic functions with positive coefficients associated with an integral operator, Honam Math. J. 39(3) (2017),
331-347.
-
[3] A. Akgul, A new subclass of meromorphic functions defined by Hilbert space operator, Honam Math. J., 38 (3) (2016), 495-506.
-
[4] A. Akgul, 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 .
-
[5] A. Akgul, A subclass of meromorphic functions defined by a certain integral operator on Hilbert space , Creative Math. and Infor., 26(2) ( 2017),
115-124.
-
[6] E. Aqlan, J. M. Jhangiri and S. R. Kulkarni, Class of kuniformly convex and starlike functions , Tamkang J. Math., 35 (2004), 1-7.
-
[7] W. G. Athsan and S. R. Kulkarni and J. Rajasthan, Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivate-I,
Acad. Phy.Sci., 6(2) (2007), 129-140.
-
[8] J. Clunie, On meromorphic schilict functions, J. London Math. Soc., 34 (1959), 115-216.
-
[9] P. L. Duren, Univalent Functions, Springer, New York, NY, USA, 1983.
-
[10] F. Muge Sakar and H. Ozlem Guney, On meromorphic functions with fixed residue defined using convolution, Scientific Research and Essays, 8 (31)
(2013), 1532-1539.
-
[11] F. Muge Sakar and H. Ozlem Guney, On a new subclass of harmonic meromorphic functions with fixed residue x , TWMS Journal of Applied and Engg.
Math., 4(1) (2014), 92-97.
-
[12] R. M. Goel and N. S. Sohi, On a class of meromorphic functions, Glasnik Matematicki, 17(1) (1982), 19-28.
-
[13] 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.
-
[14] I. B. Jung, Y. C. Kim, H. M. Srivastava, The Hardy spaces of analytic functions associated with certain one parameter families of integral operators, J.
Math. Anal. Appl., 176 (1), (1993), 138-147.
-
[15] A. Y. Lashin, On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl., 59 (1) (2010), 524-531.
-
[16] J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228.
-
[17] Ch. Pommerenke, On meromorphic starlike functions, Pac. J. Math., 13 (1963), 221-235.
-
[18] T. Ram Reddy, R. B. Sharma and K. Saroja, A new subclass of meromorphic functions with positive coefficients, Indian J. Pure Appl. Math., 44(1)
(2013), 26 -29.
-
[19] W. C. Royster, Meromorphic starlike univalent functions, Trans. Amer. Math. Soc., 107 (1963), 300-308.
-
[20] B. Venkateswarlu, P. Thirupathi Reddy and N. Rani, On new subclass of meromorphically convex functions with positive coefficients, Surveys in Math.
and its Appli., 14 (2019), 49-60.
A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator
Year 2019,
Volume: 7 Issue: 1, 38 - 45, 15.04.2019
P. Thirupathi Reddy
,
B. Venkateswarlu
,
S. Sreelakshmi
Abstract
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 points, radii of close-to-convexity, starlikeness, convexity, Hadamard product and integral transforms for the functions $f$ in this class.
References
-
[1] A. Akgul and S. Bulut, On a certain subclass of meromorphic functions defined by Hilbert space operator, Acta Universitatis Apulensis, (45) (2016), 1-9.
-
[2] A. Akgul, A certain subclass of meromorphic functions with positive coefficients associated with an integral operator, Honam Math. J. 39(3) (2017),
331-347.
-
[3] A. Akgul, A new subclass of meromorphic functions defined by Hilbert space operator, Honam Math. J., 38 (3) (2016), 495-506.
-
[4] A. Akgul, 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 .
-
[5] A. Akgul, A subclass of meromorphic functions defined by a certain integral operator on Hilbert space , Creative Math. and Infor., 26(2) ( 2017),
115-124.
-
[6] E. Aqlan, J. M. Jhangiri and S. R. Kulkarni, Class of kuniformly convex and starlike functions , Tamkang J. Math., 35 (2004), 1-7.
-
[7] W. G. Athsan and S. R. Kulkarni and J. Rajasthan, Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivate-I,
Acad. Phy.Sci., 6(2) (2007), 129-140.
-
[8] J. Clunie, On meromorphic schilict functions, J. London Math. Soc., 34 (1959), 115-216.
-
[9] P. L. Duren, Univalent Functions, Springer, New York, NY, USA, 1983.
-
[10] F. Muge Sakar and H. Ozlem Guney, On meromorphic functions with fixed residue defined using convolution, Scientific Research and Essays, 8 (31)
(2013), 1532-1539.
-
[11] F. Muge Sakar and H. Ozlem Guney, On a new subclass of harmonic meromorphic functions with fixed residue x , TWMS Journal of Applied and Engg.
Math., 4(1) (2014), 92-97.
-
[12] R. M. Goel and N. S. Sohi, On a class of meromorphic functions, Glasnik Matematicki, 17(1) (1982), 19-28.
-
[13] 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.
-
[14] I. B. Jung, Y. C. Kim, H. M. Srivastava, The Hardy spaces of analytic functions associated with certain one parameter families of integral operators, J.
Math. Anal. Appl., 176 (1), (1993), 138-147.
-
[15] A. Y. Lashin, On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl., 59 (1) (2010), 524-531.
-
[16] J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228.
-
[17] Ch. Pommerenke, On meromorphic starlike functions, Pac. J. Math., 13 (1963), 221-235.
-
[18] T. Ram Reddy, R. B. Sharma and K. Saroja, A new subclass of meromorphic functions with positive coefficients, Indian J. Pure Appl. Math., 44(1)
(2013), 26 -29.
-
[19] W. C. Royster, Meromorphic starlike univalent functions, Trans. Amer. Math. Soc., 107 (1963), 300-308.
-
[20] B. Venkateswarlu, P. Thirupathi Reddy and N. Rani, On new subclass of meromorphically convex functions with positive coefficients, Surveys in Math.
and its Appli., 14 (2019), 49-60.