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Swaminathan A.
A. Swaminathan Associate Professor swamifma[at] 01332-285182
Areas of Interest
  • Computational Complex Analysis, Positivity of Trigonometric Polynomials, Geometric Function Theory
  • Approximation Theory, Orthogonal Polynomials on the Unit Circle, Orthogonality of Finite Class of Polynomials
  • Polynomial Approximation, Zero-free and Maximal polynomials
  • Special Functions, Geometric properties of hypergeometric type functions, Zeros, bounds and inequalities
Professional Background
2012Till dateAssociate ProfessorI.I.T. Roorkee
20062012Assistant ProfessorI.I.T. Roorkee
20052006LecturerAnna University, Chennai
Educational Details
Ph.D.MathematicsUniversity of Madras2000
Administrative Background
July 2013May 2016Chairman, Institute Time Table CommitteeIIT Roorkee
Sponsored Research Projects
TopicFunding AgencyYear
Positivity of polynomial sums in geometric function theorySRIC, I.I.T. Roorkee2007
Applications of hypergeometric functions in Geometric Function TheoryDST, India2007
Participation in seminars
NamePlaceSponsored ByDate
14th International Symposium on Orthogonal Polynomials, Special Functions and Applicaitons, OPSFA 14University of Kent, Canterbury, United Kingdom 3-7 Jul'17
International Conference on Special Functions and its ApplicaitonsCity University of Hong Kong 5-9 May'17
Dunkl Operators, Special Functions, Harmonic AnalysisUniversitat Paderborn, Germany 12.08.2016
13th International Symposium on Orthogonal Polynomials, Special Functions and Applications, OPSFA 13NIST, Washington USASIAM, USA1-5.6.2015
12th International Symposium on Orthogonal Polynomials, Special Functions and ApplicationsSousse, TunisiaOPSFA, SIAM25.03.2013
11th International Symposium on Orthogonal Polynomials, Special Functions and ApplicationsUniversidad Carlos III de Madrid, SpainOPSFA, SIAM29.08.2011
National Seminar on Recent advances in MathematicsBrahmanand College, KanpurAICTE12-02-2011
International Conference in MathematicsCenter for Mathematical Sciences, Pala, KeralaDST04-01-2011
International conference in Mathematics and Statistics 2010American University of SharjahAmerican Mathematical Society18-03-2010
Asian Mathematical CongressKaula Lampur, MalaysiaMalaysian Math. Society27-06-2009
Pre ICM ConferenceUniveristy of Delhi, New DelhiNBHM, AMS18-12-2008
International Conference in Geometric Function TheoryIstanbul Kultur University, TurkeyIstanbul Kultur University, Turkey12-09-2008
  • SIAM (Society for Industrial and Applied Mathematics), Member
  • SIAM (Orthogonal Polynomials and Special Functions Group), Member
  • Society for Special Functions and its Applications, India, Life Member
  • American Mathematical Society, Sponsored Member
  • Research Group in Mathematical Inequalities and Applications, Member
  • Forum d' Analystes, LIfe Member
Teaching Engagements
TitleCourse CodeClass NameSemester
Complex AnalysisMAN-201M.Sc. Mathematics (Integrated)Autumn
Real AnalysisMAN 513M.Sc. MathematicsAutumn
Complex Analysis IIMAN 520M.Sc. MathematicsSpring
Orthogonal Polynomials and Special FunctionsMAN 654M.Sc. MathematicsSpring
PHDs Supervised
TopicScholar NameStatus of PHDRegistration Year
Geometric properties of hypergeometric type functions using positivity theorySaiful R MondalA2006
Finite class of classical orthogonal polynomialsPradeep MalikA2008
Geometric properties of hypergeometric type functions and their q-analogueRaghavendar KA2008
Geometric properties of integral transforms of a second order differential inequalitySatwanti DeviA2010
Representations and Monotonic properties related to triple gamma functionsSourav DasA2012
Modular Forms and Partition TheoryKiran Kumar BeheraO2013
Generalized Positivity Techniques applied to hypergeometric type functionsPriyanka SangalO2013
Polynomial ApproximationLateef Ahmad WaniO2016
Hypergeometric type functions in function spacesVinay ShuklaO2018
Visits to outside institutions
Institute VisitedPurpose of VisitDate
School of Mathematical Sciences, Universiti Sains MalaysiaVisiting Scientist, Research CollaborationMay 2014
UNESP, SJ, SP, BrazilResearch Collaboration in Positivity techniques of hypergeometric functionsOct 2013
ENS, Lyon FranceResearch CollaborationMay 2012
Universidad Carlos III de Madrid, SpainResearch CollaborationMarch 2012
Universidad Carlos III de Madrid, SpainResearch CollaborationAug 2011
School of Mathematical Sciences, Universiti Sains MalaysiaVisiting ScientistMay 2010 -
School of Mathematical Sciences, Universiti Sains MalaysiaVisiting ScientistMay 2009
Geometric properties of Hypergeometric type functionsUniversiti Sains Malaysia, Penang, MalaysiaI2009-2014
Positivity Techniques in Geometric Function TheoryUNESP, SJ, SP, BrazilI
Participation in short term courses
Couse NameSponsored ByDate
Annual Foundation School I, I.I.T. DelhiNational Center for Mathematics, I.I.T. Bombay and TIFR MumbaiDec., 2017
Complex Analysis, Fourier Series and Special Functions (with outline on the Mathematical Software)TEQIP-IIMarch.2017
Orthogonal Polynomials and Special Functions (using Mathematical Software)QIP, AICTEJuly, 2013
Courses or Conferences Organised
Conference NameSponsored ByDate
International Conference on Mathematical Analysis and its Applications ICMAA 2016 27 Nov-02 Dec 2016DST, NBHM, ISRO, CSIR, INSA, Forum, IMU, SCUBE27.11.2016
STC on Complex Analysis, Fourier Analysis, Special Functions (with mathematical Software Techniques)TEQIP-II06.03.2017
Orthogonal Polynomials and Special Functions (using Mathematical Software)AICTE, QIP08.07.2013
National International Collaboration
Orthogonal Polynomials on the unit circleUNESP, SJ, SP, BrazilRP
Geometric Function TheoryUniversiti Sains Malaysia, Penang, MalaysiaRP
Interlacing of zeros of special functionsUniversity of Pretoria, South AfricaRP
Finite Class of Classical Orthogonal PolynomialsUniversidad Carlos III de Madrid, Leganes, Madrid, SpainRP
Gamma functions and Stieltjes representationUniversity of Copenhagen, DenmarkRP
Geometric properties of Pick functions ENS Lyon FranceRP