Harmonic starlikeness and convexity of integral operators generated by Poisson distribution series

Porwal, Saurabh; Srivastava, Divesh

doi:10.5937/matmor1701051p

Cited by 6 publications

(1 citation statement)

References 9 publications

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“…The elementary distributions such as the Poisson, the Logarithmic, the Binomial have been partially studied in the Geometric Function Theory from a theoretical point of view see ( [2], [3], [5], [11], [12], [13], [14], [15]).…”

Section: Definementioning

confidence: 99%

On Harmonic Univalent Functions Involving q-Poisson Distribution Series

2021

MJPS

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Lately, the q- derivative operator has been used to investigate several subclasses of harmonic functions in different ways with different perspectives by many researchers and many interesting results were obtained. The qderivative operator are also used to construct some subclasses of harmonic functions. In this paper, we define involving of q-Poisson distribution three harmonic functions and we aim to find the conditions for these functions to belong to the subclasses of q-starlike and q-convex harmonic univalent functions. Lately, the q- derivative operator has been used to investigate several subclasses of harmonic functions in different ways with different perspectives by many researchers and many interesting results were obtained. The qderivative operator are also used to construct some subclasses of harmonic functions. In this paper, we define involving of q-Poisson distribution three harmonic functions and we aim to find the conditions for these functions to belong to the subclasses of q-starlike and q-convex harmonic univalent functions.

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