SOME INCLUSION RELATIONS BETWEEN VARIOUS SUBCLASSES OF PLANAR HARMONIC MAPPINGS INVOLVING CONFLUENT HYPERGEOMETRIC DISTRIBUTION SERIES

The purpose of the present paper is to establish connections between various subclasses of harmonic univalent functions by applying certain convolution operator involving Confluent Hypergeometric distribution series. To be more precise, we investigate such connections with Goodman-Rønning-type harmonic univalent functions in the open unit disc U.

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

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

[3]  G. Murugusundaramoorthy,et al.  Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series , 2016 .

[4]  Manish Kumar,et al.  A unified study on starlike and convex functions associated with Poisson distribution series , 2016 .

[5]  S. Porwal.  Some connections between various subclasses of planar harmonic mappings involving generalized Bessel functions , 2014, Afrika Matematika.

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

[7]  A. K. Sharma,et al.  CLASS MAPPINGS PROPERTIES OF CONVOLUTIONS INVOLVING CERTAIN UNIVALENT FUNCTIONS ASSOCIATED WITH HYPERGEOMETRIC FUNCTIONS Vol. 1(2) July 2013, No. 18, pp. 326-333 A.K. SHARMA, SAURABH PORWAL AND K.K. DIXIT , 2013, Electronic Journal of Mathematical Analysis and Applications.

[8]  Á. Baricz.  Geometric properties of generalized Bessel functions , 2008, Publicationes Mathematicae Debrecen.

[9]  Om P. Ahuja,et al.  Connections between various subclasses of planar harmonic mappings involving hypergeometric functions , 2008, Appl. Math. Comput..

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

[11]  S. Porwal,et al.  Harmonic starlikeness and convexity of integral operators generated by Poisson distribution series , 2017 .

[12]  Mümin Yamankaradeniz,et al.  ON THE SUBCLASS OF SALAGEAN-TYPE HARMONIC UNIVALENT FUNCTIONS , 2007 .

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

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