D-Index & Metrics Best Publications

D-Index & Metrics

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 30 Citations 3,985 269 World Ranking 2229 National Ranking 17

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Pure mathematics
  • Algebra

Saminathan Ponnusamy focuses on Pure mathematics, Mathematical analysis, Unit disk, Analytic function and Combinatorics. His Pure mathematics study incorporates themes from Class, Convolution, Derivative and Product. The study incorporates disciplines such as Birnbaum–Orlicz space and Discontinuous linear map in addition to Mathematical analysis.

His Unit disk research incorporates elements of Operator theory and Gaussian. His Analytic function research incorporates themes from Function and Bohr model. His Combinatorics study integrates concerns from other disciplines, such as Conformal map, Convex function and Unit.

His most cited work include:

  • Asymptotic expansions and inequalities for hypergeometric function (150 citations)
  • Bloch constant and Landau's theorem for planar p-harmonic mappings (81 citations)
  • Univalence and Convexity Properties for Gaussian Hypergeometric Functions (71 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Unit disk, Pure mathematics, Combinatorics, Mathematical analysis and Analytic function. The various areas that Saminathan Ponnusamy examines in his Unit disk study include Discrete mathematics, Harmonic, Convex function, Regular polygon and Function. His study in Pure mathematics is interdisciplinary in nature, drawing from both Class, Type and Bessel function.

In general Combinatorics study, his work on Conjecture often relates to the realm of Convexity, thereby connecting several areas of interest. His work on Hypergeometric function, Lipschitz continuity, Confluent hypergeometric function and Norm as part of general Mathematical analysis research is frequently linked to Biharmonic equation, bridging the gap between disciplines. In his research on the topic of Analytic function, Bounded function, Inequality, Mathematical physics, Radius and Zero is strongly related with Bohr model.

He most often published in these fields:

  • Unit disk (44.39%)
  • Pure mathematics (43.89%)
  • Combinatorics (32.67%)

What were the highlights of his more recent work (between 2018-2021)?

  • Unit disk (44.39%)
  • Pure mathematics (43.89%)
  • Bohr model (10.97%)

In recent papers he was focusing on the following fields of study:

His scientific interests lie mostly in Unit disk, Pure mathematics, Bohr model, Harmonic and Analytic function. His research on Unit disk concerns the broader Combinatorics. He is involved in the study of Pure mathematics that focuses on Harmonic function in particular.

Harmonic is a subfield of Mathematical analysis that Saminathan Ponnusamy tackles. In the subject of general Mathematical analysis, his work in Lipschitz continuity is often linked to Support point, thereby combining diverse domains of study. His Analytic function research includes themes of Function, Majorization and State.

Between 2018 and 2021, his most popular works were:

  • On the Bohr inequality with a fixed zero coefficient (34 citations)
  • Improved Bohr’s inequality for locally univalent harmonic mappings (33 citations)
  • On a powered Bohr inequality (27 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Pure mathematics
  • Algebra

Saminathan Ponnusamy spends much of his time researching Pure mathematics, Bohr model, Unit disk, Analytic function and Bounded function. His work deals with themes such as Class, Harmonic and Distortion, which intersect with Pure mathematics. His Harmonic research is multidisciplinary, incorporating perspectives in Convolution and Regular polygon.

His Unit disk study introduces a deeper knowledge of Combinatorics. His biological study spans a wide range of topics, including Function, Majorization and State. His studies in Bounded function integrate themes in fields like Hypergeometric function and Power series.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Asymptotic expansions and inequalities for hypergeometric function

S. Ponnusamy;M. Vuorinen.
Mathematika (1997)

177 Citations

Starlikeness and convexity of generalized Bessel functions

Árpád Baricz;Saminathan Ponnusamy.
Integral Transforms and Special Functions (2010)

104 Citations

Univalence and Convexity Properties for Gaussian Hypergeometric Functions

S. Ponnusamy;M. Vuorinen.
Rocky Mountain Journal of Mathematics (2001)

93 Citations

New criteria and distortion theorems for univalent functions

M. Obradović;S. Ponnusamy.
Complex Variables and Elliptic Equations (2001)

89 Citations

Bloch constant and Landau's theorem for planar p-harmonic mappings

Sh. Chen;S. Ponnusamy;X. Wang.
Journal of Mathematical Analysis and Applications (2011)

85 Citations

Complex Variables with Applications

Saminathan Ponnusamy;Herb Silverman.
(2006)

72 Citations

Differential sobordination and Bazilevič functions

S Ponnusamy.
Proceedings of the Indian Academy of Sciences - Mathematical Sciences (1995)

71 Citations

On the Bohr Inequality

Yusuf Abu Muhanna;Rosihan M. Ali;Saminathan Ponnusamy.
arXiv: Complex Variables (2017)

71 Citations

Duality for hadamard products applied to certain integral transforms

S. Ponnusamy;F. R⊘nning.
Complex Variables and Elliptic Equations (1997)

68 Citations

Foundations of Complex Analysis

Saminathan Ponnusamy.
(1997)

64 Citations

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