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Mathematics

Faculty

Adrijit Goswami

Aniket Biswas

Apurba Das

Arindam Banerjee

Bappaditya Bhowmik

Bodhayan Roy

Buddhananda Banerjee

Chandal Nahak

Debapriya Biswas

Debjani Chakraborty

Dipankar Ghosh

G P Raja Sekhar

Geetanjali Panda

Gnaneshwar Nelakanti

Hari Shankar Mahato

Husney Parvez Sarwar

Kamalakshya Mahatab

Koeli Ghoshal

Mithun Bhowmik

Mousumi Mandal

Nabakumar Jana

Naveen Kumar Garg

Nitin Gupta

P V S N Murthy

Pawan Kumar

Prateep Chakraborty

Pratima Panigrahi

Rajni Kant Pandey

Ramakrishna Nanduri

Ratna Dutta

Rupanwita Gayen

Somesh Kumar

Somnath Bhattacharyya

Soumitra Ghara

Soumyarup Banerjee

Sourav Mukhopadhyay

Swanand Ravindra Khare

Swarup Kumar Panda

T Raja Sekhar

Bappaditya Bhowmik, IIT Kharagpur

Bappaditya Bhowmik

Professor

Mathematics

+91-3222-282600

bappaditya@maths.iitkgp.ac.in

Awards and Accolades

Personal Webpage Bio Sketch

Research Areas

Geometric Function Theory
Quasiconformal Mappings
Planar harmonic mappings

I work in the field of complex analysis, specifically in Geometric Function Theory. Also my interest lies in Hyperbolic Geometry, Harmonic and Quasiconformal Mappings.

All Publications

A sharp bound for the Schwarzian derivative of concave functions by Bhowmik B., Wirths K. Colloquium Mathematicum 128(2) 245-251 (2012)
Distortion, Radius of Concavity and Several other Radii Results for Certain Classes of Meromorphic Functions by Bhowmik B., Biswas S. Computational Methods and Function Theory - (Accepted/In-Press)
Quasiconformal extension of meromorphic functions with nonzero pole by Bhowmik B., Satpati G. , Sugawa T. Proceedings of the American Mathematical Society 144 (6) 2593-2601 (2016)
On harmonic univalent mappings with nonzero pole by Bhowmik B., Majee S. Journal of Mathematical Analysis and Applications 482 - (2020)
On concave univalent functions by Bhowmik B. Mathematische Nachrichten 285(5-6) 606-612 (2012)
Bohr phenomenon for operator-valued functions by Bhowmik B., Das N. Proceedings of the Edinburgh Mathematical Society 64 72-86 (2021)
Loewner chain and quasiconformal extension of some classes of univalent functions by Bhowmik B., Satpati G. Complex Variables and Elliptic Equations 65 544-557 (2020)

Completed Projects

Co-Principal Investigator

Ph. D. Students

Deblina Maity

Area of Research: Complex Analysis

Priyanka Adhikary

Area of Research: Complex Analysis

Souvik Biswas

Area of Research: Complex Analysis

Journal

Distortion, Radius of Concavity and Several other Radii Results for Certain Classes of Meromorphic Functions by Bhowmik B., Biswas S. Computational Methods and Function Theory - (Accepted/In-Press)
Geometric interpretation of radius of concavity and certain radii results for a class of meromorphic univalent functions by Bhowmik B., Biswas S. Filomat 40 2029-2039 (2026)
On quasiconformal extension of harmonic mappings with nonzero pole; [Sur l extension quasiconforme des applications harmoniques à pôle non nul] by Bhowmik B., Satpati G. Comptes Rendus Mathematique 363 445-454 (2025)
Bloch-Type Theorems for Harmonic Mappings: Bloch-Type Theorems for Harmonic Mappings: B. Bhowmik and S. Sen by Bhowmik B., Sen S. Mediterranean Journal of Mathematics 22 - (2025)
Bohr phenomenon involving the Fourier transforms of certain functions defined on a topological group by Bhowmik B., Das N. Illinois Journal of Mathematics 69 1-21 (2025)
Length distortion of curves under meromorphic univalent mappings by Bhowmik B., Maity D. Bulletin des Sciences Mathematiques 199 - (2025)
Linearly Invariant Families and Harmonic Bloch Mappings on Hyperbolic Domain by Bhowmik B., Sen S. Ukrainian Mathematical Journal 77 1071-1086 (2025)
Curvature estimates for minimal surfaces associated with harmonic mappings having nonzero pole by Bhowmik B., Majee S. Complex Variables and Elliptic Equations - (2025)
SUCCESSIVE COEFFICIENTS AND TOEPLITZ DETERMINANT FOR CONCAVE UNIVALENT FUNCTIONS by Bhowmik B., John A., Parveen F. Mathematical Inequalities and Applications 27 459-469 (2024)
Criteria for quasiconformal extensions of harmonic mappings by Bhowmik B., Satpati G. Complex Analysis and its Synergies 10 - (2024)
AN AREA THEOREM FOR HARMONIC MAPPINGS WITH NONZERO POLE HAVING QUASICONFORMAL EXTENSIONS by Bhowmik B., Satpati G. Proceedings of the American Mathematical Society 152 3881-3891 (2024)
BOUNDS FOR FUNCTIONALS DEFINED ON A CERTAIN CLASS OF MEROMORPHIC FUNCTIONS by Bhowmik B., Parveen F. Bulletin of the Australian Mathematical Society 109 101-109 (2024)
Bounds for the derivative of certain meromorphic functions and on meromorphic Bloch-type functions by Bhowmik B., Sen S. Czechoslovak Mathematical Journal 74 397-414 (2024)
Neighborhoods of Harmonic and Stable Harmonic Mappings by Bhowmik B., Majee S. Bulletin of the Malaysian Mathematical Sciences Society 47 - (2024)
Landau and Bloch constants for meromorphic functions by Bhowmik B., Sen S. Monatshefte fur Mathematik - (2023)
Improved Bloch and Landau constants for meromorphic functions by Bhowmik B., Sen S. Canadian Mathematical Bulletin 44 1269-1273 (2023)
Quasiconformal extension of integral transforms of analytic and harmonic mappings by Bhowmik B., Satpati G. Complex Variables and Elliptic Equations - (2022)
On Estimates of Some Coefficient Functionals for Certain Meromorphic Univalent Functions by Bhowmik B., Parveen F. Bulletin of the Malaysian Mathematical Sciences Society 45 2745-2763 (2022)
On stable harmonic mappings by Bhowmik B., Majee S. Analysis and Mathematical Physics 12 - (2022)
INEQUALITIES FOR MEROMORPHIC UNIVALENT FUNCTIONS WITH NONZERO POLE by Bhowmik B., Satpati G. Mathematical Inequalities and Applications 25 941-961 (2022)
An Operator-Valued Analogue of a Result of Bombieri by Bhowmik B., Das N. Complex Analysis and Operator Theory 16 - (2022)
On some aspects of the bohr inequality by Bhowmik B., Nilanjan D.A.S. Rocky Mountain Journal of Mathematics 51 87-96 (2021)
On the Coefficients of Certain Subclasses of Harmonic Univalent Mappings with Nonzero Pole by Bhowmik B., Majee S. Bulletin of the Brazilian Mathematical Society 13- (2021)
A characterization of Banach spaces with nonzero Bohr radius by Bhowmik B., Das N. Archiv der Mathematik 116 551-558 (2021)
Bohr phenomenon for operator-valued functions by Bhowmik B., Das N. Proceedings of the Edinburgh Mathematical Society 64 72-86 (2021)
Bohr radius and its asymptotic value for holomorphic functions in higher dimensions by Bhowmik B., Das N. Comptes Rendus Mathematique 359 911-918 (2021)
Loewner chain and quasiconformal extension of some classes of univalent functions by Bhowmik B., Satpati G. Complex Variables and Elliptic Equations 65 544-557 (2020)
On harmonic univalent mappings with nonzero pole by Bhowmik B., Majee S. Journal of Mathematical Analysis and Applications 482 - (2020)
Area distortion under meromorphic mappings with nonzero pole having quasiconformal extension by Bhowmik B., Satpati G. Journal of the Korean Mathematical Society 56 439-455 (2019)
On Some Results for a Subclass of Meromorphic Univalent Functions with Nonzero Pole by Bhowmik B., Parveen F. Results in Mathematics 74 - (2019)
On the Taylor coefficients of a subclass of meromorphic univalent functions by Bhowmik B., Parveen F. Bulletin of the Malaysian Mathematical Science Society 42 793-802 (2019)
Bohr Phenomenon for Locally Univalent Functions and Logarithmic Power Series by Bhowmik B., Das N. Computational Methods and Function Theory 19 729-745 (2019)
Bohr phenomenon for subordinating families of certain univalent functions by Bhowmik B., Das N. Journal of Mathematical Analysis and Applications 462 1087-1098 (2018)
On some results for a class of meromorphic functions having quasiconformal extension by Bhowmik B., Satpati G. Proceedings of the Indian Academy of Sciences: Mathematical Sciences 128 - (2018)
Sufficient conditions for univalence and study of a class of meromorphic univalent functions by Bhowmik B., Parveen F. Bulletin of the Korean Mathematical Society 55 999-1006 (2018)
On a subclass of meromorphic univalent functions by Bhowmik B., Parveen F. Complex Variables and Elliptic Equations 62(4) 494-510 (2017)
Criteria for univalence, integral means and Dirichlet integral for meromorhic functions by Bhowmik B., Parveen F. Bulletin of the Belgian Mathematical Society 24 427-438 (2017)
Quasiconformal extension of meromorphic functions with nonzero pole by Bhowmik B., Satpati G. , Sugawa T. Proceedings of the American Mathematical Society 144 (6) 2593-2601 (2016)
Central functions for classes of concave univalent functions by Bhowmik B., Wirths K. Mathematica Slovaca 66 141-146 (2016)
Generalizations of the Area theorem for mermorphic univalent functions with nonzero poles by Bhowmik B., Parveen F. Indian Journal of Pure and Applied Mathematics 47 545-551 (2016)
Regions of variability for a class of analytic and locally univalent functions defined by subordination by Bhowmik B. Proceedings of the Indian Academy of Science Mathematical Science 125 511-519 (2015)
Inequalities for the coefficients of meromorphic starlike functions with nonzero pole by Bhowmik B., Wirths K. Resultae der Mathematik 65 (1-2) 1-8 (2014)
A sharp bound for the Schwarzian derivative of concave functions by Bhowmik B., Wirths K. Colloquium Mathematicum 128(2) 245-251 (2012)
On concave univalent functions by Bhowmik B. Mathematische Nachrichten 285(5-6) 606-612 (2012)
On the Fekete-Szego problem for concave univalent functions by Bhowmik B., Ponnusamy S. , Wirths K. Journal of Mathematical Analysis and Applications 373(2) 432-438 (2011)
Characterization and the pre-Schwarzian norm estimate for concave univalent functions. by Bhowmik B., Ponnusamy S. , Wirths K. Monatshefte fur Mathematik 161(1) 59-75 (2010)
On some problems of James Miller by Bhowmik B., S P. , Wirths K. Cubo, A Mathematical Journal 12 15-21 (2010)
On some results of A. E. Livingston and coefficient problems for concave univalent functions by Bhowmik B. Archiv der Mathematik (Basel) 95(6) 575-581 (2010)
Coefficient estimates and the convex hull problem for meromorphic functions by Bhowmik B., Ponnusamy S. , Wirths K. Mathematica (Cluj) 51 31-38 (2009)
Concave functions, Blaschke products, and polygonal mappings by Bhowmik B., Ponnusamy S. , Wirths K. Siberian Mathematical Journal 50(4) 609-615 (2009)
Unbounded convex polygons, Blaschke products and concave schlicht functions by Bhowmik B., S P. , K-j W. Indian J. Math. 50 339-349 (2008)
Coefficient inequalities for concave and meromorphically starlike univalent functions by Bhowmik B., Ponnusamy S. Annales Polonici Mathematici 93(2) 177-186 (2008)
Region of variability for concave univalent functions by Bhowmik B., Ponnusamy S. Analysis 28 333-344 (2008)
Domains of varability of the Laurent coefficeints and the convex hull for the familly of concave univalent functions by Bhowmik B., Ponnusamy S. , Wirths K. Kodai Mathematical Journal 30 385-393 (2007)

Article in Periodical

Quasiconformal extensions of conformal mappings by Bhowmik B. Mathematics Newsletter 47-53 (2023)

Edited Volume

The proceedings of the International conference on Geometric function theory and its applications by Bhowmik B., Saminathan P. , Oliver R. 1-143 (2015)