Certain Subclass of Harmonic Univalent Functions Associated With Fractional Calculus Operator

Puneet Shukla; A. L. Pathak

doi:10.32628/IJSRST24114322

Authors

Puneet Shukla Department of Mathematics, Brahmanand P.G. College, C.S.J.M. University, Kanpur-208004, Uttar Pradesh, India Author
A. L. Pathak Department of Mathematics, Brahmanand P.G. College, C.S.J.M. University, Kanpur-208004, Uttar Pradesh, India Author

DOI:

https://doi.org/10.32628/IJSRST24114322

Keywords:

Harmonic functions, Univalent functions, Fractional Calculus Operator

Abstract

In this paper, a class of complex-valued harmonic univalent functions f (z) in the open disk U is defined by fractional calculus operator. We obtained coefficient bounds, distortion inequalities, convex combination, extreme points and convolution conditions for this class.

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References

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