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An Application of a Poisson Distribution Series on Certain Analytic Functions
The purpose of the present paper is to introduce a Poisson distribution series and obtain necessary and sufficient conditions for this series belonging to the classes and . We also consider anExpand
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On a new subclass of bi-univalent functions
Abstract The purpose of the present paper is to introduce a new subclass of the function class ∑ of bi-univalent functions defined in the open unit disc. Furthermore, we obtain estimates on theExpand
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MAPPING PROPERTIES OF AN INTEGRAL OPERATOR
In the present paper, we introduce a general integral operator and study mapping properties on some subclasses of analytic univalent functions. Relevant connections of the results presented here withExpand
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A subclass of harmonic univalent functions with positive coefficients
Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disc $U$ can be written in the form $f=h+\bar g$, where $h$ and $g$ are analytic in $U$. In this paperExpand
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Partial sums of certain harmonic univalent functions
Let ϕ(z) be a fixed harmonic functions of the form $\varphi (z) = z + \sum\nolimits_{k = 2}^\infty {c_k z^k + } \overline {\sum\nolimits_{k = 1}^\infty {d_k z^k } } $ (dk ≥ ck ≥ c2 > 0; k ≥ 2) andExpand
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PARTIAL SUMS OF GENERALIZED CLASS OF HARMONIC UNIVALENT FUNCTIONS INVOLVING A GAUSSIAN HYPERGEOMETRIC FUNCTION
The purpose of the present paper is to establish some new results giving the sharp bounds of the real parts of ratios of harmonic univalent functions to its sequences of partial sums by involving theExpand
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SOME SUFFICIENT CONDITIONS FOR POISSON DISTRIBUTION SERIES ASSOCIATED WITH CONIC REGIONS
The purpose of the present paper is to investigate some sufficient conditions for the convolution operator I(m)f(z) belonging to the classes k−UCV (α), k−Sp(α), S ∗ (λ) and C(λ).
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An application of generalized Bessel functions on certain analytic functions
The purpose of the present paper is to investigate some characterization for generalized Bessel functions of first kind to be in various subclasses of analytic functions. We also consider an integralExpand
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A unified study on starlike and convex functions associated with Poisson distribution series
In the present paper, we investigate some characterization for Poisson distribution series to be in the unified subclasses $$P_{\lambda }(\alpha )$$Pλ(α) and $$D_{\lambda }(\alpha )$$Dλ(α) ofExpand
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Generalized Distribution and Its Geometric Properties Associated with Univalent Functions
The purpose of the present paper is to introduce a generalized discrete probability distribution and obtain some results regarding moments, mean, variance, and moment generating function for thisExpand
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