A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator

dc.contributor.authorSrivastava, H.M.
dc.contributor.authorKhan, Nazar
dc.contributor.authorKhan, Shahid
dc.contributor.authorZahoor Ahmad, Qazi
dc.contributor.authorKhan, Bilal
dc.date.accessioned2021-07-31T15:47:53Z
dc.date.available2021-07-31T15:47:53Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractIn this paper, we introduce a new class of harmonic univalent functions with respect to k-symmetric points by using a newly-defined q-analog of the derivative operator for complex harmonic functions. For this harmonic univalent function class, we derive a sufficient condition, a representation theorem, and a distortion theorem. We also apply a generalized q-Bernardi–Libera–Livingston integral operator to examine the closure properties and coefficient bounds. Furthermore, we highlight some known consequences of our main results. In the concluding part of the article, we have finally reiterated the well-demonstrated fact that the results presented in this article can easily be rewritten as the so-called (p,q)-variations by making some straightforward simplifications, and it will be an inconsequential exercise, simply because the additional parameter p is obviously unnecessary.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M., Khan, N., Khan, S., Zahoor Ahmad, Q., & Khan, B. (2021). A Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operator. Mathematics, 9(15), 1-14. https://doi.org/10.3390/math9151812.en_US
dc.identifier.urihttps://doi.org/10.3390/math9151812
dc.identifier.urihttp://hdl.handle.net/1828/13196
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectunivalent functionsen_US
dc.subjectharmonic functionsen_US
dc.subjectq-derivative (or q-difference) operatoren_US
dc.titleA Class of k-Symmetric Harmonic Functions Involving a Certain q-Derivative Operatoren_US
dc.typeArticleen_US

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
Srivastava_HariM_Mathematics_2021.pdf
Size:
585.08 KB
Format:
Adobe Portable Document Format
Description:
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2 KB
Format:
Item-specific license agreed upon to submission
Description: