CONNECTIONS BETWEEN VARIOUS SUBCLASSES OF PLANAR HARMONIC MAPPINGS ASSOCIATED WITH GENERALIZED DISTRIBUTION SERIES

. The purpose of the present paper is to obtain inclusion relation between various subclasses of harmonic univalent functions by applying certain convolution operator associated with generalized distribution series.

[1]  S. Porwal,et al.  An application of hypergeometric distribution type series on certain analytic functions , 2019 .

[2]  S. Porwal Generalized Distribution and Its Geometric Properties Associated with Univalent Functions , 2018, Journal of Complex Analysis.

[3]  S. Yalçın,et al.  Poisson Distribution Series for Analytic Univalent Functions , 2018 .

[4]  V. Ravichandran,et al.  On confluent hypergeometric functions and generalized Bessel functions , 2017 .

[5]  S. Porwal,et al.  Confluent hypergeometric distribution and its applications on certain classes of univalent functions , 2017 .

[6]  S. Porwal An Application of a Poisson Distribution Series on Certain Analytic Functions , 2014 .

[7]  P. Sharma,et al.  Harmonic univalent functions associated with Wright's generalized hypergeometric functions , 2011 .

[8]  Árpád Baricz,et al.  Generalized Bessel Functions of the First Kind , 2010 .

[9]  O. Martio HARMONIC MAPPINGS IN THE PLANE (Cambridge Tracts in Mathematics 156) , 2007 .

[10]  Peter Duren,et al.  Harmonic Mappings in the Plane , 2004 .

[11]  O. Ahuja,et al.  NOSHIRO-TYPE HARMONIC UNIVALENT FUNCTIONS , 2002 .

[12]  Matti Vuorinen,et al.  Univalence and Convexity Properties for Gaussian Hypergeometric Functions , 2001 .

[13]  Hari M. Srivastava,et al.  Univalent and Starlike Generalized Hypergeometric Functions , 1987, Canadian Journal of Mathematics.

[14]  K. K. Dixit AN APPLICATION OF HYPERGEOMETRIC FUNCTIONS ON HARMONIC UNIVALENT FUNCTIONS , 2010 .

[15]  H. Parihar,et al.  CERTAIN SUFFICIENCY CONDITIONS ON FOX-WRIGHT FUNCTIONS , 2008 .

[16]  O. Ahuja Planar harmonic univalent and related mappings. , 2005 .

[17]  K. G. Subramanian,et al.  Goodman-Ronning-Type Harmonic Univalent Functions , 2001 .

[18]  T. Sheil-Small,et al.  Harmonic univalent functions , 1984 .