- Professor
- Science and Humanities
- karthiyayini.roy@pes.edu /karthiyayini.o@gmail.com
- 080-66186651

**Qualification : **

Ph.D in Mathematics

Co-ordinator , Dept. of Science & Humanities

18 years of teaching experience in Engineering College.

• Working as Professor of Mathematics, Dept. of Science & Humanities,, PESIT-Bangalore South Campus (Formerly PES School Of Engineering), Bangalore since March 2016 till date.

• Working as Associate Professor (Mathematics), Dept. O f Science & Humanities, PESIT-Bangalore South Campus (Formerly PES School Of Engineering), Bangalore since July 2011 till March 2016.

• Worked as Assistant Professor (Mathematics), Dept. Of Science & Humanities, PESIT-Bangalore South Campus (Formerly PES School Of Engineering), Bangalore since January 2010 till June 2011.

• Worked as lecturer (Mathematics), Dept. of Science & Humanities, PESIT-Bangalore South Campus (Formerly PES School Of Engineering), Bangalore since September-2005 till 31st December 2009.

• Worked as lecturer Dept. of Mathematics, Vidya Vikas Institute of Engineering and technology, Mysore from November 1999 till July 2005.

• Complex function theory

• Heuristic methods

• Mathematical Modelling

**O Karthiyayini**and V Sivasankari, “Subordination Results for a Class of ϒ–Spirallike Functions”, Annals of Oradea University - Mathematics Fascicola 24 (1), 2017, 19-24.**O Karthiyayini**and V Sivasankari, “ Coefficient inequality for some subclass of meromorphic functions”, Advances in Theoretical and Applied Mathematics 11 (3), 2016, 275-279.**O Karthiyayini**and V Sivasankari, “New sub-classes of bi-univalent functions defined using the convolution structure”, International Journal of Mathematical Archive 6 (12), 2015, 57-61.- Harikrishna S, Abida Begum and
**Karthiyayini Roy**, “Performance of Fenugreek (Trigonella foenum graecum) Seed Extract as Inhibitor on Mild steel under Corrosive Medium-A Statistical View”, International Journal of ChemTech Research

CODEN( USA): IJCRGG ISSN : 0974-4290, Vol.5, No.4, April- June 2013, 1829-1834.

- Latha S and
**Karthiyayini O, “**Coefficient Inequalities for A New Class of Analytic Functions Defined Using The Convolution Structure”, Advances in Applied Mathematical Analysis, Volume 7 Number 2 (2012), pp. 103-108. - Latha S and
**Karthiyayini O, “**Neighborhoods of certain classes of analytic functions with negative co-efficients”, Advances in Applied Mathematical Analysis, Volume 7 Number 2 (2012), pp. 93-102. - Latha S and
**Karthiyayini O, “**Coefficient Estimates for a certain class of analytic functions defined using the Generalized Carlson Shaffer Operator”, International Journal of Mathematical Archive-3(9), 2012, 3472-3476. - Latha S and
**Karthiyayini O**, “Inclusion and Neighborhood Properties of Certain Analytic Functions with Negative Coefficients”, Advances in Applied Mathematical Analysis, Vol 6, Number 1(2011), pp.79-84. - Latha S and
**Karthiyayini O**, “ Convolution Conditions for Certain Analytic Functions”, “International Journal of Mathematical Sciences and Engineering Applications”, Vol 5, No.3, 2011. - Latha S and
**Karthiyayini O**, “Coefficient Inequalities for Certain Classes of Analytic and Univalent Functions”, International journal of Mathematical Archive 2(2), 1-9, Feb 2011. - Latha S and
**Karthiyayini O**, “On Subclasses of Ruscheweyh Class Function of Order α and type β” , International Journal of Mathematical Sciences and Engineering Applications, Vol 4, No.1, March 2010. - Latha S and
**Karthiyayini O**, “Certain Class Of Analytic and Univalent Functions Involving The Ruscheweyh Derivative Operator”, International Journal of Mathematical Analysis, Vol. 3, no. 33 – 36, 2009. - Latha S and
**Karthiyayini O**, “A New Sub-class of Multivalent Functions”, Advances in Inequalities for Series, 135 - 145, 2008. - Latha S and
**Karthiyayini O**, “Some interesting properties of functions in the generalized Ruscheweyh class” proceedings of National conference on “Advances in Mathematics and its Applications”, 21 – 29, 2004.

**Conference Attended**

- National Conference on “Frontiers and Challenges in Biological Organometallic Compounds” held at M S Ramaiah Institute of Technology, Bangalore during June 20 – 21 , 2013.
- International Conference on “Recent and Emerging trends in Computer and Computational Sciences” held at PES Institute of Technology – Bangalore South Campus, Bangalore during January 11-13, 2013.
- Workshop on Data Analytics using SPSS and MS-Excel” at PESIT – Bangalore South Campus, Bangalore on September 22, 2012.
- Workshop on “Functional analysis” held at Indian Statistical Institute, Kolkata during July 4-23, 2011.
- National conference on applications of mathematics and Statistics held at Yuvaraja’s College, University of Mysore, Mysore during March 25-26, 2011.
- International Conference “Ramanujan Rediscovered”, held at IIIT – Bangalore, Bangalore during June 01-05, 2009.
- International Conference on Discrete Mathematics held at University of Mysore, Mysore during June 06-10, 2008.
- The 19
^{th }International Conference of the Jangjeon Mathematical Society held at Bangalore University, Bangalore during February 22-24, 2007. - International Symposium on Cognition and Recognition Technologies held at PES school of Engineering, Bangalore during December 29-30, 2006.
- National Conference on Mathematical Modeling held at R.V College of Engineering, Bangalore during April 12-13, 2005.
- National Conference on “Advances in Mathematics and its Applications” organized by Indian Society of Mathematics and Mathematical Sciences, Gorakhpur during February 13-15, 2004.
- The 14
^{th }International Conference of the Jangjeon Mathematical Society held at University of Mysore, Mysore during December 22-24, 2003.

** Paper Presentations**

- Ravikumar R, Radha Gupta and
**Karthiyayini O**, “The Statistical Investigation of various methods to find the Initial Basic Feasible Solution of a Transportation Problem” presented at the First International Conference on Innovations in Engineering, Technology & Science (ICIETS-2017). - Ravikumar R, Radha Gupta and
**Karthiyayini O**, “A new approach to find the Initial Basic Feasible Solution of a Transportation Problem", presented at the National Conference on Current Advances in Science and Technology (NCCAST-2017). **O Karthiyayini**and V Sivasankari, “New sub-classes of bi-univalent functions defined by subordination”, presented at the International conference on Mathematics 2015 4 (2), 453-456.- Latha S and
**Karthiyayini O,**“Coefficient estimates for a certain class of analytic functions defined using the Generalized Carlson – Shaffer operator” presented at the National conference on applications of Mathematics and Statistics held at Yuvaraja’s College, University of Mysore, Mysore during March 25 -26, 2011. - Latha S and
**Karthiyayini O**, “Inclusion and neighborhood properties of certain analytic functions with negative coefficients” presented at the 19^{th }International Conference of the Jangjeon Mathematical Society held at Bangalore University, Bangalore during February 22-24, 2007. - Latha S and
**Karthiyayini O**, “Some interesting properties of functions in the generalized Ruscheweyh class” presented at National Conference on “Advances in Mathematics and its Applications” organized by Indian society of Mathematics and Mathematical Sciences, Gorakhpur during February 13-15, 2004. - Latha S and
**Karthiyayini O**, “On an estimate for the generalized Schwarzian derivative” presented at the 14^{th }International Conference of the Jangjeon Mathematical Society held at University of Mysore, Mysore during December 22-24, 2003.

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