[PDF][PDF] Planar harmonic and quasiregular mappings
S Ponnusamy, A Rasila - … in Modern Function Theory: Chapter in …, 2013 - researchgate.net
Planar harmonic functions are complex-valued functions whose real and imaginary parts are
not necessarily conjugate, ie, do not need to satisfy the Cauchy-Riemann equations …
not necessarily conjugate, ie, do not need to satisfy the Cauchy-Riemann equations …
[HTML][HTML] Harmonic functions associated with Pascal distribution series
The primary objective of this paper is to explore the application of a specific convolution
operator, which incorporates the Pascal distribution series. Through this investigation, we …
operator, which incorporates the Pascal distribution series. Through this investigation, we …
Classes of harmonic functions related to Mittag-Leffler function
The purpose of this paper is to find new inclusion relations of the harmonic class HF (ϱ, γ)
with the subclasses S HF*, K HF and TN HF (τ) of harmonic functions by applying the …
with the subclasses S HF*, K HF and TN HF (τ) of harmonic functions by applying the …
An application of poisson distribution series on harmonic classes of analytic functions
B Frasin, A Alb Lupaş - Symmetry, 2023 - mdpi.com
Many authors have obtained some inclusion properties of certain subclasses of univalent
and functions associated with distribution series, such as Pascal distribution, Binomial …
and functions associated with distribution series, such as Pascal distribution, Binomial …
[PDF][PDF] Projective modules over smooth real affine varieties.
SM Bhatwadekar, MK Das, S Mandal - Inventiones mathematicae, 2006 - researchgate.net
Let X= Spec (A) be a smooth affine variety of dimension n≥ 2 over a field k and P be a
projective A-module of rank n. A result of Murthy ([Mu], Theorem 3.8) says that if k is an …
projective A-module of rank n. A result of Murthy ([Mu], Theorem 3.8) says that if k is an …
[PDF][PDF] Planar harmonic and quasi-conformal mappings
S Ponnusamy, A Rasila - RMS Mathematics Newsletter, 2007 - academia.edu
In Section 1, we recall some basic facts about planar harmonic mappings. In Section 2, we
present harmonic analog of the classical Schwarz'lemma and its applications. In Section 3 …
present harmonic analog of the classical Schwarz'lemma and its applications. In Section 3 …
[PDF][PDF] On a subclass of harmonic univalent functions defined by convolution and integral convolution
In this paper, we introduce and study a subclass of harmonic univalent functions defined by
convolution and integral convolution. Coefficient bounds, extreme points, distortion bounds …
convolution and integral convolution. Coefficient bounds, extreme points, distortion bounds …
Partial sums of certain harmonic univalent functions
S Porwal - Lobachevskii Journal of Mathematics, 2011 - Springer
Let ϕ (z) be a fixed harmonic functions of the form φ(z)=z+∑k=2^∞c_kz^k+∑k=1^∞d_kz^k
(dk≥ ck≥ c 2> 0; k≥ 2) and SH (ck, dk, δ) be the subclass of harmonic univalent functions f …
(dk≥ ck≥ c 2> 0; k≥ 2) and SH (ck, dk, δ) be the subclass of harmonic univalent functions f …
New subclasses of harmonic starlike and convex functions
S Porwal, KK Dixit - Kyungpook Mathematical Journal, 2013 - koreascience.kr
The purpose of the present paper is to establish some interesting results involving coefficient
conditions, extreme points, distortion bounds and covering theorems for the classes $ V_H …
conditions, extreme points, distortion bounds and covering theorems for the classes $ V_H …
[PDF][PDF] On a new subclass of harmonic univalent functions defined by fractional calculus operator
The purpose of the present paper is to establish some results involving coefficient
conditions, distortion bounds, extreme points, convolution, convex combinations and …
conditions, distortion bounds, extreme points, convolution, convex combinations and …