Herb Silverman

2.1k citations
59 papers · 1.4k · h-index 17

Impact in

    • Analytic and geometric function theory
    • Holomorphic and Operator Theory
    • Differential Equations and Boundary Problems
    • Mathematical functions and polynomials
    • Mathematical Inequalities and Applications
    • Meromorphic and Entire Functions
    • Algebraic and Geometric Analysis

Papers in

    • Analytic and geometric function theory 48
    • Holomorphic and Operator Theory 20
    • Differential Equations and Boundary Problems 7
    • Algebraic and Geometric Analysis 6
    • Functional Equations Stability Results 5
    • Meromorphic and Entire Functions 5
    • Mathematical Inequalities and Applications 3

Herb Silverman

46 papers receiving 1.1k citations

Peers

Herb Silverman
Comparison fields: 5 of 41
  • Geometry and Topology 1.3k
  • Applied Mathematics 962
  • Polymers and Plastics 264
  • Pharmacology 66
  • Electronic, Optical and Magnetic Materials 55
Replace Jacek Dziok with:
Jacek Dziok Poland
G. Murugusundaramoorthy India
Richard J. Libera United States
Teodor Bulboacă Romania
Janusz Sokół Poland
Halit Orhan Türkiye
Sibel Yalçın Türkiye
Basem Aref Frasin Jordan
P. Gochhayat India
Sarfraz Nawaz Malik Pakistan
Herb Silverman relative to Jacek Dziok Poland Jacek Dziok's profile →
Citations per field
00.5×1.5×
Jacek Dziok · 1×
Citations per year

Countries citing papers authored by Herb Silverman

Since Specialization
Citations

This map shows the geographic impact of Herb Silverman's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Herb Silverman with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Herb Silverman more than expected).

Fields of papers citing papers by Herb Silverman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Herb Silverman. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Herb Silverman. The network helps show where Herb Silverman may publish in the future.

Co-authors

The 15 scholars most cited alongside Herb Silverman, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Herb Silverman Line = papers co-authored together Herb Silverman links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 59 papers — load more, or switch the sort, to bring in the rest.

#Work
1 1975353
2 1998131
3 199798
4 200690
5 197581
6
Subclasses of harmonic univalent functions
199976
7 199366
8 198563
9 199954
10 197835
11 199431
12 197926
13 198223
14 199119
15 201619
16 200818
17
MEROMOR0PHIC UNIVALENT HARMONIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
199916
18 200314
19 200613
20
CHARACTERIZATIONS FOR SUBCLASSES OF UNIVALENT FUNCTIONS
199912

About Herb Silverman

Herb Silverman is a scholar working on Geometry and Topology, Applied Mathematics, Polymers and Plastics, Mathematical Physics and Computational Theory and Mathematics, having authored 59 papers that have together received 1.4k indexed citations. Recurring topics across this work include Analytic and geometric function theory (48 papers), Holomorphic and Operator Theory (20 papers), Polymer Synthesis and Characterization (14 papers), Differential Equations and Boundary Problems (7 papers), Algebraic and Geometric Analysis (6 papers), Functional Equations Stability Results (5 papers), Meromorphic and Entire Functions (5 papers) and Mathematical Inequalities and Applications (3 papers). The work is most often cited by research in Geometry and Topology (1.3k citations), Applied Mathematics (962 citations), Polymers and Plastics (264 citations), Pharmacology (66 citations) and Electronic, Optical and Magnetic Materials (55 citations). Herb Silverman has collaborated with scholars based in United States, India and Malaysia. Frequent co-authors include T. N. Shanmugam, S. Sivasubramanian, Jay M. Jahangiri, Om P. Ahuja, T. Sheil-Small, Saminathan Ponnusamy, Jacek Dziok, M. K. Aouf, Ashwini Gangadharan and Maxwell O. Reade. Their work appears in journals such as Journal of Mathematical Analysis and Applications, Proceedings of the American Mathematical Society, Journal of Inequalities and Applications, Transactions of the American Mathematical Society and Canadian Journal of Mathematics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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