Priyabrat Gochhayat Sambalpur University Department of Government Email: [email protected] Jyoti Vihar, 768019, Burla, Email: [email protected] Sambalpur, Odisha, India Homepage: https://www.priyabratg.in Experience — Assistant Professor in Sambalpur University, Odisha, India with effect from Nov. 2009 – till date. — Post-Doctoral Research, University of Pretoria, South Africa, with effect from Aug. 2012– July 2014 (On study leave from Sambalpur University). — Assistant Professor of Mathematics, Krupajal Engineering College, Bhubaneswar, Odisha, India, from 4th Aug. 2009 – 15th Nov. 2009. — Junior/Senior Research Fellow in a NBHM, DAE, Govt. of India sponsored research project at Berham- pur University, Odisha, India, from Dec. 2007 – Dec. 2008. — CSIR Senior Research Fellow, Govt. of India from April 2008 – July 2009. Research Interests I am interested in the theory univalent functions and its harmonic analogues, orthogonal polynomials on R and special functions. My current projects focusing on to investigate radii like problems, sharp bounds, maximal area integral problems of certain univalent (harmonic) mappings and to study the location and interlacing of zeros of q-polynomials. Research Projects Undertaken Completed the project entitled Studies on univalent and multivalent functions in the context of geometric functions theory, funded by DST, Govt. of India. (Rs. 11,52,000/-) . Past Projects Worked with Professor Kerstin Jordaan in the project entitled Location of real zeros and asymptotic zero distribution of 3F2 hypergeometric polynomials at University of Pretoria, South Africa. Worked with Professor Akshaya Kumar Mishra as a Junior/Senior Research Fellow in the NBHM, DAE, Govt. of India, funded project entitled A study of some extremal problems in geometric function theory and special functions at Berhampur University, Odisha, India. Priyabrat Gochhayat 2 Students Supervised PhD Student Pinaki Prasad Kar (2019–). Thesis title: Locations and interlacing properties of zeros of q-polynomials. Anuja Prajapati (2016–). Thesis title: Operators in geometric function theory. Bikash Kumar Chinhara (2012-2019). Thesis title: Studies on harmonic univalent mappings and its connection with minimal surfaces. M.Phil. Students Pamancha Kumar Behera (2019). Thesis title: Some aspects of log-harmonic and log-p-harmonic map- pings. Kalinga Kalyan Nayak (2018). Thesis title: Applications of orthogonal polynomials to geometric function theory. Jharanamayee Suna (2017). Thesis title: Monotonicity of zeros of orthogonal polynomials. Pritirani Sethi (2017). Thesis title: Maximal area integral problems of some subclasses of univalent functions. Pinaki Prasad Kar (2016). Thesis title: Interlacing properties of the zeros of some orthogonal and quasi- orthogonal polynomials. Anuja Prajapati (2016). Thesis title: Some aspects of operators in the geometric function theory. Rajesh Kumar Mishra (2016). Thesis title: On Bloch and Landau constants for univalent harmonic functions. Srikant Turia (2012). Thesis title: Some aspects of harmonic univalent mappings. Bijayinee Behera (2012). Thesis title: A study on coefficient bounds for inverse of some subclasses of univalent functions. Shiba Sankar Mallick (2011). Thesis title: Study on some subclasses of univalent functions. Publications — A. Prajapati, and P.Gochhayat, Applications of third order differential subordination and superordina- tion results associated with Struve functions, (2019) FILOMAT (Accepted) SCI — B. K. Chinhara, P.Gochhayat and S. Maharana, A subclasses of harmonic univalent mappings with restricted analytic part, Commun. Korean Math. Soc. 34(3) 841–854, (2019). SCI — B.K.Chinhara, P.Gochhayat and S. Maharana, On certain harmonic mappings with fixed coefficients, Monatshefte Für Mathematka, 190, 261–280, (2019). SCI — H.M. Srivastava, A. Prajapati, and P.Gochhayat, Applications of third order differential subordination and superordination results associated with Srivastava-Attiya operator. Appl. Math. Inf. Sci. 12(3), 469–481 (2018). — B.K.Chinhara, P.Gochhayat and A.K. Mishara, Certain subclasses of harmonic multivalent functions involving an integral operator, Int. J. Open Problems Complex Analysis, 10(3), 1–18, (2018). Priyabrat Gochhayat 3 — P.Gochhayat, Inclusion properties of certain subclass of multivalent functions defined by generalized derivative operator, Advances in Mathematics: Scientific Journal, 4(2), 221–227, (2015), ISSN 1857-8365 UDC: 517.546.3:517.983.22 — P.Gochhayat, KH Jordaan, K. Raghavendar and A. Swaminathan, Interlacing properties and bounds for zeros of 2f1 hypergeometric and little q-Jacobi polynomials. Ramanujan J. 40(1), 45–62, (2016), (Impact Factor2013: 0.507) SCI — A. K. Mishra and P.Gochhayat, Sandwich-type theorems of some subclasses of multivalent functions defined by an adaptation to Srivastava-Attya operator. PanAmerican Math J, 23(1), 25–43, (2013) (ISSN: 1064-9735) — P.Gochhayat, Convolution properties of p-valent functions associated with a generalization of the Srivastava-Attiya operator, Journal of Complex Analysis, Volume 2013, Art. ID 676027, (2013). — P.Gochhayat, Sandwich-type theorem for class of functions defined by generalized differential opera- tor. Math. Vesnik, 64(2), pp 178–186, (2013). ISSN 0025-5165 (print), ISSN 2406-0682 (online) — P.Gochhayat, Sandwich-type theorems of some subclasses of multivalent functions defined by Dziok- Srivastava operator. Acta Universitatis Apulensis, 32, 31–47, (2012). (ISSN 1582-5329) — A. K. Mishra and P.Gochhayat, A coefficient inequality for a subclass of the Caratheodory functions defined using conical domains, Computers and Mathematics with Applications, 61(9), 2816–2820, (2011). Zbl 1221.30039 (Impact Factor2013: 1.996) SCI — A. K. Mishra and P.Gochhayat, Invariance of some subclasses of multivalent functions under a differ- integral operator. Complex Variables and Elliptic Equations, 55(7), (2010), 677–689. Zlb 1195.30028 (2013 Impact Factor: 0.650) SCI — A. K. Mishra and P.Gochhayat, Fekete-Szegö problem for a class defined by an integral operator. Kodai Journal of Mathematics, 33, 310–328, (2010). Zbl 1196.30013 (Impact Factor2013: 0.347) SCI — H. M. Srivastava, A. K. Mishra and P.Gochhayat, Certain subclasses of analytic and bi-univalent func- tions, Applied Math. Letters, 23, 1188–1192 (2010) . Zbl 1201.30020 (Impact Factor2013: 1.480) SCI (More than 300 Google citation and Top 25 Hottest article in Elsevier) — A. K. Mishra and P.Gochhayat, Fekete-Szegö problem for k-uniformly convex functions and for a class defined by the Owa-Srivastava operator. Journal of Mathematical Analysis and Applications, 347, 563–572, 2008. Zbl 1152.30012, MR2440350. (Impact Factor2013: 1.119) SCI — A. K. Mishra and P.Gochhayat, Second Hankel determinant of a class of analytic functions defined by fractional derivative. International Journal of Mathematics and Mathematical Sciences, Volume 2008, Art. ID 153280, 10 pages, (2008). Zbl 1158.30308, MR2392999 (2009b: 30025) — A. K. Mishra and P.Gochhayat, Coefficient of inverse functions in a nested class of starlike functions of positive order. Journal of Inequalities in Pure and Applied Mathematics, 7(3), Art. 94, 2006. Zbl 1182.30015, MR2257293 (2007f: 30024) http://jipm.vu.edu.au — A. K. Mishra and P.Gochhayat, Applications of the Owa-Srivastava operator to the class of k-uniformly convex functions. Fractional Calculus and Applied Analysis; An International Journal for Theory and Appli- cations, 9(4), 323–332 , 2006. Zbl 1132.30321, MR2300466 (2007k: 30019) (Impact Factor 2013: 2.974) SCI Priyabrat Gochhayat 4 Talks/Presentation in Conference/Workshop/Seminars — Delivered series of lectures on Complex Analysis at Department of Mathematics, Central University of Odisha, India during Sept. 2-6, 2019. — Invited talk on Harmonic analogue of analytic univalent mappings in a National seminar at CTET, Bhilai, India on Dec. 22, 2018. — Invited talk on LaTeXI˙ in the National workshop on LaTeX, at Institute of Mathematics and Applica- tions, Bhubaneswar, Odisha, India, during 23-24, March, 2018. — Presented a paper entitled On harmonic univalent mappings in the International Conferences on Math- ematical Sciences and Applications (ICMSA2018), held at Guru Ghasidas Vishwavidyalaya, Bilaspur, India during February 23-25, 2018. — Presented a paper entitled Inclusion properties of certain subclasses of multivalent functions defined by gener- alized derivative operator in the International symposium of Geometric function theory and applications (GFTA2015), held at Cr. Cryil Methodius University, Ohrid, Macedonia, during 24-27, August 2015. — Presented a paper entitled On certain subclasses of multivalent functions in the International conference of Computational Methods and Functions Theory (CMFT2013), held at Shantou University, Shantou, China, during 10-14, June 2013. — Invited talk on An extension of Chebyshev Polynomials in the Department of Mathematics, Berhampur University, Odisha, India, during 21-22, December, 2012. — Presented a paper entitled Typically real functions and their connection to Chebyshev polynomials in the Research Seminar: Orthogonal Polynomials and Special Functions a Complex Analytic Perspective, University of Pretoria, South Africa on 12th Nov., 2012. — Presented a paper entitled Sandwich-type theorems and convolution properties of some subclasses of multi- valent functions defined by an adaptation to Srivastava-Attiya operator in the Annual conference of South African Mathematical Society, held at University of Stellenbosch, South Africa during