Hypergeometric Inequalities for Certain Unified Classes of Multivalent Harmonic Functions

Authors

Vimlesh K. Gupta, University of Lucknow
Poonam Sharma, University of Lucknow

Abstract

In this paper, we consider unified classes PH (m, A,B) H and Q_H (m, A,B) H of multivalent harmonic functions F = H +G∈H(m) . Some hypergeometric inequalities for the functions of the class H(m) defined by generalized hypergeometric functions to be in these unified classes and its sub classes TP_H (m, A,B) H and TQ_H (m, A,B) H , respectively, are obtained. Results, involving some integral operators are also given. Further, some special cases of the results are mentioned.

Recommended Citation

Gupta, Vimlesh K. and Sharma, Poonam (2018). Hypergeometric Inequalities for Certain Unified Classes of Multivalent Harmonic Functions, Applications and Applied Mathematics: An International Journal (AAM), Vol. 13, Iss. 1, Article 22.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/22