Abstract
In this study, it is mentioned that meromorphic functions are univalent functions that
are analytical everywhere. Complex analytical transformations were investigated by mentioning the
necessary form for f (z) to have meromorphic function. It is a function that satisfies the condition
0 hz . For analytic functions of f and g in the D unit disk, ()fz shows the meromorphic
function class with P and subclasses of the P meromorphic analytical function class using the
subordination principle between functions with the help of Hadamard product and linear operators. In
this way proves is provided.
References
- Alexander JW, 1915. Functions which map the interior of the unit circle upon simple regions, Annals of Math. 17, 15-22.
- Cho NE, Owa S, 2004. Partial Sums of certain meromorphic functions, J. Inequal. Pure and Appl. Math., 5(2) Art. 30.
- Cho NE, Kim IH, 2007. Inclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function, Appl. Math. Compu., 187 (1), 115 121.
- Dziok J, Srivastava HM, 2003. Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms Spec. Funct., 14 (1) ,7-18.
- Gonchar AA, Havin VP, Nikolski NK, 2001. Complex Analysis I. Springer-Verlag, pp 4, Newyork.Goodman A W, 1983. Univalent functions, Vol. I, Mariner Publ. Co., Tampa, FI..
- Krantz SG, 1999. Handbook of Complex Variables, , Birkhuser, Boston, MA.
- Liu J, Owa S, 1998. On certain meromorphic p-valent functions, Taiwanese J. Math. 2(1) , pp. 107-110.
- MacGregor TH, Thomas HA, 1974/75. Subordination for convex functions of order . J. London Math. Soc. (2) 9, 530-536.
- Marx A, 1936. Untersuchungen ¸ber schlichte Funktionen, Math. Ann. 107, 40-67.
- Miller SS, Mocanu PT, 1985. On some classes of first order differential subordinations, Michigan Math. J. , 32 ,185-195.
- Miller J, 1970. Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc., 25 , 220-228.
- Mogra L, 1991. Hadamard product of certain meromorphic univalent functions, J. Math. Anal. Appl., 157 ,10-16.
- Nevanlinna R, 1921. über die konforme Abbildung von Sterngebieten, Ofvers. Finska 58 Vet. Soc. Förh., 53 (A), Nr. 6.
- Nunokawa M, Ahuja OP, 2001. On meromorphic starlike and convex functions, Indian Pure Appl. Math., 32(7), 1027-1032.
- Pommerenke Ch, 1963. On meromorphic starlike functions. Pacific J. Math. 13 221-235.
- Royster WC, 1963. Meromorphic Starlike, Trans. Amer. Math. Soc. Vol. 107, No. 2 , pp. 300-308.
- Srivastava HM, Owa S, 1986. A certain one parameter additive family of operators defined on analytic functions, Journal of mathematıcal analysıs and applıcatıons 118, 80-87.
- Strohhacker E, 1933. Beitrage zur Theorie der schlichten Funktionen, Math. Z. 37, 356-380.
Abstract
In this study, it is mentioned that meromorphic functions are univalent functions that
are analytical everywhere. Complex analytical transformations were investigated by mentioning the
necessary form for f (z) to have meromorphic function. It is a function that satisfies the condition
0 hz . For analytic functions of f and g in the D unit disk, ()fz shows the meromorphic
function class with P and subclasses of the P meromorphic analytical function class using the
subordination principle between functions with the help of Hadamard product and linear operators. In
this way proves is provided.
References
- Alexander JW, 1915. Functions which map the interior of the unit circle upon simple regions, Annals of Math. 17, 15-22.
- Cho NE, Owa S, 2004. Partial Sums of certain meromorphic functions, J. Inequal. Pure and Appl. Math., 5(2) Art. 30.
- Cho NE, Kim IH, 2007. Inclusion properties of certain classes of meromorphic functions associated with the generalized hypergeometric function, Appl. Math. Compu., 187 (1), 115 121.
- Dziok J, Srivastava HM, 2003. Certain subclasses of analytic functions associated with the generalized hypergeometric function, Integral Transforms Spec. Funct., 14 (1) ,7-18.
- Gonchar AA, Havin VP, Nikolski NK, 2001. Complex Analysis I. Springer-Verlag, pp 4, Newyork.Goodman A W, 1983. Univalent functions, Vol. I, Mariner Publ. Co., Tampa, FI..
- Krantz SG, 1999. Handbook of Complex Variables, , Birkhuser, Boston, MA.
- Liu J, Owa S, 1998. On certain meromorphic p-valent functions, Taiwanese J. Math. 2(1) , pp. 107-110.
- MacGregor TH, Thomas HA, 1974/75. Subordination for convex functions of order . J. London Math. Soc. (2) 9, 530-536.
- Marx A, 1936. Untersuchungen ¸ber schlichte Funktionen, Math. Ann. 107, 40-67.
- Miller SS, Mocanu PT, 1985. On some classes of first order differential subordinations, Michigan Math. J. , 32 ,185-195.
- Miller J, 1970. Convex meromorphic mappings and related functions, Proc. Amer. Math. Soc., 25 , 220-228.
- Mogra L, 1991. Hadamard product of certain meromorphic univalent functions, J. Math. Anal. Appl., 157 ,10-16.
- Nevanlinna R, 1921. über die konforme Abbildung von Sterngebieten, Ofvers. Finska 58 Vet. Soc. Förh., 53 (A), Nr. 6.
- Nunokawa M, Ahuja OP, 2001. On meromorphic starlike and convex functions, Indian Pure Appl. Math., 32(7), 1027-1032.
- Pommerenke Ch, 1963. On meromorphic starlike functions. Pacific J. Math. 13 221-235.
- Royster WC, 1963. Meromorphic Starlike, Trans. Amer. Math. Soc. Vol. 107, No. 2 , pp. 300-308.
- Srivastava HM, Owa S, 1986. A certain one parameter additive family of operators defined on analytic functions, Journal of mathematıcal analysıs and applıcatıons 118, 80-87.
- Strohhacker E, 1933. Beitrage zur Theorie der schlichten Funktionen, Math. Z. 37, 356-380.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Matematik / Mathematics |
| Authors | |
| Publication Date | March 1, 2021 |
| Submission Date | October 8, 2020 |
| Acceptance Date | December 14, 2020 |
| Published in Issue | Year 2021 Volume: 11 Issue: 1 |