D. Vamshee Krishna

Dr. D. Vamshee Krishna

9849146222

vamsheekrishna@nehu.ac.in
vamsheekrishna1972@gmail.com

Faculty members

Dr. D. Vamshee Krishna

Designation: Associate Professor

Department: Mathematics

Qualifications:

  1. B. Ed. (From Government College of Education, Nagarjuna Sagar, Affiliated to Osmania University, Hyderabad)
  2. M. Sc. (From Kakatiya University, Warangal)
  3. Ph. D. (From Kakatiya University, Warangal)

Title of Ph.D. Thesis: “An Application of Toeplitz Determinants for an Upper bound to the second Hankel Functional for certain subclasses of Univalent and Multivalent Analytic Functions,” under the supervision of Prof. T. RamReddy.

Area of Interest

Complex Analysis/ Hankel determinants

Teaching/Research Experience: 28 years/12 years

Ph.D.’s Awarded/Submitted: 01/010

Number of Ph. D. Thesis Evaluated: 05

External Examiner for Conduction of Ph. D. Open Viva-Voce: 02

Web address:

  1. To see Google scholar citations >https://scholar.google.co.in/citations?user=qlYuV7MAAAAJ&hl=en
  2. ORCID Number:https://orcid.org/0000-0002-3334-9079
  3. Research Gate: Active Member: https://www.researchgate.net/profile/Vamshee-Krishna-Deekonda
  4. MR Author ID: 987184
  5. Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=55318038100
  6. Web of Science:https://publons.com/researcher/2127791/vamshee-krishna-deekonda/

Professional Affiliation:

  1. Member of INTERNATIONAL ASSOCIATION OF ENGINEERS (IAENG), with Membership No.187052.
  2. Life Member of THE INDIAN SCIENCE CONGRESS ASSOCIATION, with Membership No. L31203.
  3. Life      Member     of    ANDHRA     PRADESH      SOCIETY      FOR  MATHEMATICAL SCIENCES (APSMS), with Membership No. 434.
  4. Member of National Centre for Mathematics (A Joint center of IIT Bombay and TIFR, Mumbai).

Publications

  1. Vani, N. Vamshee Krishna, D. & Shalini, D. Some Coefficient bounds associated with transforms of Bounded turning functions, Ukrainian Math. J., 74(12) (2023), pp.1909 -1915.
  2. Vani, N.  Vamshee Krishna, D.  &  Rath, B. Sharp bounds associated with the Zalcman conjecture for the initial coefficients and second Hankel determinants for certain subclass of analytic functions, Mathematical Notes of NEFU, 30(2) (2023), pp. 92–100.
  3. Vamshee Krishna, D. & Shalini, D. An upper bound of the Hankel determinant of third order for the inverse of reciprocal of bounded turning functions, Stud. Univ. Babes-Bolyai Math., 68(2)(2023), pp. 261-268.
  4. Rath, B. Sanjay Kumar, K. Vamshee Krishna, D.  Vijaya Kumar, Ch. & Vani, N. Fifth Hankel determinant for multivalent bounded turning functions of order α, J. Indian Math. Soc. (N. S),90 (3-4)(2023), pp.289- 308.
  5. Surya Viswanadh, G. K. Rath, B. Sanjay Kumar, K.& Vamshee Krishna, D. The sharp bound for the third Hankel determinant of the inverse of functions associated with lemniscate of Bernoulli, Asian-Eur. J. Math., 16(7)(2023), Article Id: 2350126, pp.1-13.
  6. Vamshee Krishna, D. Vijaya Kumar, Ch. and Rath, B. The sharp estimates for certain coefficient inequalities for transforms of a starlike function associated with Bernoulli’s lemniscate, Asian-Eur. J. 16(3)(2023), Article Id: 2350042, pp.1-9.
  7. Sanjay Kumar,  K. Rath, B.  and Vamshee Krishna, D.  The Sharp Bound of the Third Hankel Determinant for the Inverse of Bounded Turning Functions, Contemporary Math. (Singapore), 4(1)(2023), pp. 30-41.
  8. Rath, B. Sanjay Kumar, K. Vamshee Krishna, D.& Surya Viswanadh, G. K., The sharp bound of the third hankel Determinants for inverse of starlike functions with respect to symmetric points, Mat. Stud., 58(1)(2022), pp.45-50.
  9. Vamshee Krishna, D.  and     Shalini, D. Hankel determinant of certain orders for some subclasses of holomorphic functions, Ural Math. J., 8(1) (2022), pp. 128-135.
  10. Rath, B. Sanjay Kumar, K. Vamshee Krishna, D. & Lecko Adam, The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order ½, Complex Anal. & Operator Th. (CA0T), 16(5) (2022), pp. 1–8.
  11. Rath, B.  Sanjay Kumar, K. Vamshee Krishna,  D.  Vijaya Kumar, Ch.  & Vani, N. Hankel Determinant of certain order for Bounded turning functions of order alpha, Indian J. Math., 64(3)(2022), pp. 401-416.
  12. Vamshee Krishna, D. &        Shalini, D. Certain coefficient inequalities associated with Hankel determinant for a specific subfamily of holomorphic mappings, Publ. Inst. Math. (Beograd) (N.S.),111(125)(1)(2022), pp.127-132.
  13. Vamshee Krishna, D. Third Hankel determinant for certain subclass of p- valent analytic functions, Miskolc Math. Notes, 22(1) (2021), pp.375–382.
  14. Vamshee Krishna, D. & Shalini, D. Third kind Hankel determinant for Multivalent bounded turning functions of order alpha, TWMS J. of Appl. & Eng. Math., 11(3) (2021), pp. 789-794.
  15. Vamshee Krishna, D. &              Shalini, D. On H3(1) Hankel determinant for certain subclass of analytic functions, Extracta Math., 35(1)(2020), pp.35-42.
  16. Vamshee Krishna, D. &        Shalini, D. Hankel determinant of Third kind for certain subclass of multivalent analytic functions, Vladikavkaz Math. J., 22(1) (2020), pp. 43-48.
  17. Vamshee Krishna, D. RamReddy, T. &     Shalini, D. Third order Hankel determinant for transforms of reciprocal of bounded turning functions, Math. Notes, 105(3-4) (2019), pp. 535-542.
  18. Vamshee Krishna, D. & Shalini, D. , Best bound for Æ?-pseudo starlike functions, Commun. Fac. Sci. Univ. Ank. S ´er. A1 Math. Stat., 68(1)(2019), pp. 538-545.
  19. Vamshee Krishna, D. &        Shalini, Bound on H3(1) Hankel determinant for Pre-starlike functions of order alpha, Proyecciones J. Math., 37(2) (2018), pp. 305–315.
  20. Vamshee Krishna, D. RamReddy, T. &        Shalini, D. Certain Coefficient inequalities for transforms of bounded turning functions, Tamsui Oxf. J. Inf. Math. Sci., 32(1) (2018), pp. 91-101.
  21. Vamshee Krishna, D. RamReddy, T. Shalini, D. & Venkateswarlu, B., Coefficient inequality for transforms of certain subclass of analytic functions, Acta Comment. Univ. Tartu. Math., 21(2) (2017), pp.185-193.
  22. Vamshee Krishna, D. &        Shalini, D. Coefficient inequality for transforms of Bounded turning functions, Acta Univ. M. Belii Ser. Math., 25(2017), pp. 73-78.
  23. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Hankel determinant for transforms of pre-star like functions of order alpha, Southeast Asian Bull. Math., 40(1)(2016), pp.131-140.
  24. Vamshee Krishna, D. & RamReddy, T. , Coefficient inequality for Multivalent bounded turning functions of order α, Problemy Analiza-Issues of Analysis,5(23)(1) (2016), pp.45–54.
  25. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Coefficient inequality for certain subclass of p- valent analytic functions whose reciprocal derivative has a positive real part, Mat. Vesnik, 68(2)(2016), pp. 87-92.
  26. Vamshee Krishna, D. & RamReddy, T. , Coefficient inequality for parabolic starlike functions of order alpha, Afrika Mat., 27(1-2) (2016), pp.121-132.
  27. Vamshee Krishna, D. & RamReddy, T. , Second Hankel determinant for reciprocal of starlike and convex functions, An. Univ. Oradea. Fasc. Mat., 23(2) (2016), pp.131-136.
  28. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T.,Third Hankel determinant for starlike and convex functions with respect to symmetric points, Ann. Univ. Mariae Curie-Sklodowska Sect.A, 70(1)(2016), pp.37-45.
  29. Vamshee Krishna, D. & RamReddy, T., An upper bound to the second Hankel functional for the class of gamma-starlike functions, Bull. Iran. Math. Soc., 41(6)(2015), pp.1327- 1337.
  30. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Third Hankel determinant for certain subclass of p- valent analytic functions, Complex Var. Elliptic Equ., 60 (9)(2015), pp.1301- 1307.
  31. Vamshee Krishna, D. & RamReddy, T., Coefficient inequality for certain subclasses of Analytic functions associated with Hankel Determinant, Indian J. Pure & Appl. Math., 46(1)(2015), pp. 91-106.
  32. Vamshee Krishna, D. & RamReddy, T., An upper bound to the second Hankel determinant for pre-starlike functions of order α, Le Matematiche, 70(2)(2015), pp.109-122.
  33. Vamshee Krishna, D. & RamReddy, T., An upper bound to the second Hankel determinant for functions in Mocanu class, Vietnam J. Math., 43 (3)(2015), pp. 541-549.
  34. Vamshee Krishna, D. & RamReddy, T., Second Hankel determinant for the class of Bazilevic functions, Stud. Univ. Babes-Bolyai Math., 60(3) (2015), pp. 413-420.
  35. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Coefficient inequality for Transforms of star like and Convex Functions with Respect to Symmetric Points, Kyungpook Math. J., 55(2)(2015), pp. 429-438.
  36. Vamshee Krishna, D. & RamReddy, T., Coefficient inequality for a function Whose derivative has a positive real part of order alpha, Math.Bohem.,140(1) (2015), pp. 43-52.
  37. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Coefficient inequality for transforms of starlike and convex functions, Creative Math. & Informatics, 24(1) (2015), pp. 69-75.
  38. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., On a Subclass of Uniformly Quasi Convex functions of order alpha, Konuralp J. Math., 3(2)(2015), pp. 33-41.
  39. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Third Hankel determinant for a function whose derivative has a positive real part of order alpha, J. Nigerian Math. Soc., 34(2)(2015), pp. 121-127.
  40. Vamshee Krishna, D. & RamReddy, T., Coefficient inequality for certain subclass of p-valent functions, Palestine J. Math., 4(1)(2015), pp. 222-227.
  41. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Coefficient inequality for transforms of reciprocal of bounded turning functions, Annals Univ. Sci. Budapest., Sect. Comp., 44(1)(2015), pp. 69-77.
  42. Vamshee Krishna, D. & RamReddy, T.,Coefficient inequality for certain p- valent analytic functions, Rocky Mont. J. Math., 44(6)(2014), pp.1941- 1959.
  43. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T. ,Third Hankel determinant for the inverse of a function whose derivative has a positive real part, Mat. Stud., 42 (1)(2014), pp. 54-60.
  44. Vamshee Krishna, D. & RamReddy, T., An upper bound to the non- linear functional for certain subclasses of analytic functions associated with Hankel determinant, Asian-Eur. J. Math., 7(2) (2014), Article ID 1350042, pp. 1-14.
  45. Vamshee Krishna, D. & RamReddy, T., Coefficient inequality for certain subclass of analytic functions, Bull. Allahabad Math. Soc., 29(1) (2014), pp. 1-14.
  46. Vamshee Krishna, D. & RamReddy, T., An upper bound to the second Hankel determinant for a subclass of analytic functions, Bull. Int. Math. Virtual Inst., 4(1)(2014), pp. 17-26.
  47. Vamshee Krishna, D. Venkateswarlu, B. & RamReddy, T., Coefficient inequality for transforms of parabolic starlike and uniformly convex functions, Annals Math. Blaise Pascal, 21(2) (2014), pp. 39-56.
  48. Vamshee Krishna, D. & RamReddy, T., An upper bound to the second Hankel determinant for certain subclass of analytic functions, Proc. Janjgeon Math. Soc., 16(4) (2013), pp.559-568.
  49. Vamshee Krishna, D. & RamReddy, T., Coefficient inequality for uniformly convexfunctions of order alpha, J. Adv. Res. Pure Math., 5(1) (2013), pp. 25-41.
  50. Vamshee Krishna, D. & RamReddy, T., An upper bound to the non-linear functional associated with Hankel determinant for a subclass of analytic functions, Indian J. Math., 54(3)(2012), pp. 343-355.
  51. Vamshee Krishna, D. & RamReddy, T., An upper bound to the second Hankel functional for non- Bazilevic functions, Far East J. Math. Sci., 67(2)(2012), pp.187-199.
  52. Vamshee Krishna, D. & RamReddy, T., Hankel determinant for p- valent starlike and convex functions of order alpha, Novi Sad J. Math., 42(2) (2012), pp. 89-102.
  53. RamReddy, T., & Vamshee Krishna, D., Hankel determinant for starlike and convex functions with respect to symmetric points, J.  Indian Math. Soc. (N. S)., 79(1-4) (2012), pp. 161-171.
  54. Vamshee Krishna, D. & RamReddy, T., Coefficient inequality for certain subclass of analytic functions, Armenian. J. Math.,4(2)(2012), pp.98-105.
  55. Vamshee Krishna, D. & RamReddy, T., Coefficient inequality for certain subclasses of analytic functions, New Zealand J. Math., 42 (2012), pp. 217-228.
  56. Vamshee Krishna, D. & RamReddy, T., Hankel determinant for starlike and convex functions of order α, Tbilisi Math. J., 5 (1) (2012), pp. 65-76.

Papers presented in Conferences/ Seminars

  1. ‘Third-order Hankel Determinant for Transforms of Reciprocal of Bounded turning functions’, National Conference on Recent Developments in Mathematics and it’s Applications (RDMA-2018), from 21-12-2018 to 22-12- 2018 at Department of Mathematics, Dr. B. R. Ambedkar  University, Srikakulam, India.
  2. ‘Second Hankel determinant for the class of Bazilevic Functions’, National Conference on Recent Advances in Mathematics and its Applications (RADMAS-2016), from 17-11-2016 to 18-11-2016 at St. Joseph's College for Women (Autonomous), Visakhapatnam, India.
  3. ‘Second Hankel determinant for reciprocal of starlike and convex functions’, National Conference on Recent Developments in Mathematical Sciences and their Applications to Science &Technology, from 11-12-2015 to 13-12-2015 at Vignana Bharathi Institute of Technology, Hyderabad, India.
  4. ‘Third Hankel determinant for certain subclass of p-  valent  analytic functions’ International Conference on Geometric Function Theory and its Application (ICGFTA-2014), from 18-12-2014 to 21-12-2014 at IIT, Kharagpur, India.
  5. ‘An upper bound to the second Hankel functional for the class of Gamma- starlike functions’, International National Conference on Algebra and Applications (ICAA-2014),     from 29-04-2014 to 01-05-2014 at Andhra University, Visakhapatnam, India.
  6.   ‘An application of Toeplitz determinants for an upper bound to the second Hankel functional for the class of Bazilevic functions’, National Conference on Complex Analysis (NCCA-2014), from 08-03-2014 to 09-03-2014 at Central University of Rajasthan, Rajasthan, India.
  7. ‘Hankel Determinant for Transforms of pre-starlike functions of order α’, International Conference on Recent Advances in Mathematical Sciences and Applications (ICRAMSA -2013), from 24-12-2013 to 26- 12-2013, at Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal, Madhya Pradesh, India.
  8. ‘Neighborhoods of functions in S* (α) and its applications to a certain fractional operator’, XV Congress of Andhra Pradesh Society for Mathematical Sciences (APSMS) (National Conference), from 11-08-2006 to 13-08-2006 at Kakatiya University, Warangal, TS, India.

Participated in Conferences/ Seminars/Workshops

  1. Participated workshop on “Pedagogical Knowledge of Mathematics”(Teaching Linear Algebra) held at Kerala School of Mathematics (KSoM), Kozhikode, Kerala, during 24-26 March, 2018.
  2. Participated in Mission 10X WORKSHOP conducted at Swarna Bharathi College of Engineering, during 7-10 March 2012, Khammam, T.S., India.
  3. Attended a Two- day Workshop on “High Impact  Teaching Skills”, attested by Dale Carnegie & Associates. Inc. Trainer and Wipro, from 5-6  March 2012, conducted at Swarna Bharathi College of  Engineering,  Khammam, T.S., India.

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