TY - JOUR T1 - Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function AU - Venkateswarlu, B AU - M. Popade, Santosh AU - N. Ingle, Rajkumar AU - Thırupathı Reddy, P. PY - 2020 DA - September Y2 - 2020 DO - 10.33434/cams.725158 JF - Communications in Advanced Mathematical Sciences PB - Emrah Evren KARA WT - DergiPark SN - 2651-4001 SP - 124 EP - 129 VL - 3 IS - 3 LA - en AB - The aim of the present paper is to introduce a class $\Sigma _{p}^{ *}(G,H,\tau, c )$ of meromorphic univalent functions in $E=\{0<|z|<1\}$ and investigate coefficient estimates, distortion properties and radius of convexity estimates for this class. Furthermore, it is shown that this class is closed under convex linear combinations, convolutions and integral transforms. KW - Convolutions KW - distortion KW - meromorphic CR - [1] J. Clunie, On meromorphic schlicht functions, J. Londan Math. Soc., 34 (1959), 215-216 . CR - [2] J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228 . CR - [3] Ch. Pommarenke, On meromorphic starlike functions, Pecific , J. Math., 13 (1963), 221-235 . CR - [4] B.A. Uralegaddi and M. D. Ganigi, A certain class of meromorphic celly starlike functions with positive coefficients, Pure. Appl. Math. Sci., 26 ( 1987) , 75-81. CR - [5] B. Venkateswarlu, P. Thirupathi Reddy, Ch. Meng and R. Madhuri Shilpa, A new subclass of meromorphic functions with positive coefficients defined by Bessel function, Note di Matematica (Accepted). CR - [6] E. Deniz, H. Orhan and H.M. Srivastava, Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwan J. Math., 15(2) (2011) , 883-917 . CR - [7] G. N. Watson, A treatise on the theory of Bessel functions, 2nd edn. Cambridge University Press, Cambridge, (1994). CR - [8] M. S. Robertson, Convolution of Schlicht functions, Proc. Amer. Math. Soc., 13 (1962), 585-587. CR - [9] S. K. Bajpai, A note on a class of meromorphic univalent functions, Rev. Roumanie Math. Pure Appl., 22 (1997) , 295-297. UR - https://doi.org/10.33434/cams.725158 L1 - https://dergipark.org.tr/en/download/article-file/1065888 ER -