Partial Sums for Multivalent Harmonic Maps Defined by Generalized Hypergeometric Functions


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Authors

  • Vimlesh Kumar Gupta Department of Mathematics & Astronomy, University of Lucknow, Lucknow, UP, India
  • Poonam Sharma Department of Mathematics & Astronomy, University of Lucknow, Lucknow, UP, India

Keywords:

Multivalent harmonic functions, Generalized hypergeometric functions, Partial sums

Abstract

 In this paper,we study partial sums of the series of certain multivalent harmonic functions involving the generalized hypergeometric functions which are in the class $P_{H}(m,A,B).$ We establish some new results giving the sharp bounds of the real parts of the ratios of harmonic multivalent functions to its sequences of partial sums.

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Published

15-04-2017

How to Cite

Vimlesh Kumar Gupta, & Poonam Sharma. (2017). Partial Sums for Multivalent Harmonic Maps Defined by Generalized Hypergeometric Functions. International Journal of Mathematics And Its Applications, 5(2 - A), 27–41. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/792

Issue

Vol. 5 No. 2 - A (2017)

Section

Research Article

License

Creative Commons License

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