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An Application of a Poisson Distribution Series on Certain Analytic Functions

- S. Porwal
- Mathematics
- 18 February 2014

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 an… Expand

52 8- PDF

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 the… Expand

55 5

MAPPING PROPERTIES OF AN INTEGRAL OPERATOR

- S. Porwal
- 2011

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 with… Expand

12 4- PDF

A subclass of harmonic univalent functions with positive coefficients

- K. K. Dixit, S. Porwal
- Physics
- 30 September 2010

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 paper… Expand

19 3- PDF

Partial sums of certain harmonic univalent functions

- S. Porwal
- Mathematics
- 31 December 2011

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) and… Expand

8 2- PDF

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 the… Expand

4 2- PDF

SOME SUFFICIENT CONDITIONS FOR POISSON DISTRIBUTION SERIES ASSOCIATED WITH CONIC REGIONS

- Divesh Srivastava, S. Porwal
- Mathematics
- 2015

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).

7 2

An application of generalized Bessel functions on certain analytic functions

- S. Porwal, K. K. Dixit
- Mathematics
- 2013

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 integral… Expand

23 2- PDF

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) of… Expand

19 2

Generalized Distribution and Its Geometric Properties Associated with Univalent Functions

- S. Porwal
- Mathematics
- 3 June 2018

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 this… Expand

10 2- PDF

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