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Year 2019, Volume: 7 Issue: 1, 38 - 45, 15.04.2019

Abstract

References

  • [1] A. Akgul and S. Bulut, On a certain subclass of meromorphic functions defined by Hilbert space operator, Acta Universitatis Apulensis, (45) (2016), 1-9.
  • [2] A. Akgul, A certain subclass of meromorphic functions with positive coefficients associated with an integral operator, Honam Math. J. 39(3) (2017), 331-347.
  • [3] A. Akgul, A new subclass of meromorphic functions defined by Hilbert space operator, Honam Math. J., 38 (3) (2016), 495-506.
  • [4] A. Akgul, A new subclass of meromorphic functions with positive and fixed second coefficients defined by the Rapid-Operator, Commun. Fac. Sci. Univ. Ank. Series A1, 66 (2) (2017), 1-13 .
  • [5] A. Akgul, A subclass of meromorphic functions defined by a certain integral operator on Hilbert space , Creative Math. and Infor., 26(2) ( 2017), 115-124.
  • [6] E. Aqlan, J. M. Jhangiri and S. R. Kulkarni, Class of k􀀀uniformly convex and starlike functions , Tamkang J. Math., 35 (2004), 1-7.
  • [7] W. G. Athsan and S. R. Kulkarni and J. Rajasthan, Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivate-I, Acad. Phy.Sci., 6(2) (2007), 129-140.
  • [8] J. Clunie, On meromorphic schilict functions, J. London Math. Soc., 34 (1959), 115-216.
  • [9] P. L. Duren, Univalent Functions, Springer, New York, NY, USA, 1983.
  • [10] F. Muge Sakar and H. Ozlem Guney, On meromorphic functions with fixed residue defined using convolution, Scientific Research and Essays, 8 (31) (2013), 1532-1539.
  • [11] F. Muge Sakar and H. Ozlem Guney, On a new subclass of harmonic meromorphic functions with fixed residue x , TWMS Journal of Applied and Engg. Math., 4(1) (2014), 92-97.
  • [12] R. M. Goel and N. S. Sohi, On a class of meromorphic functions, Glasnik Matematicki, 17(1) (1982), 19-28.
  • [13] O. P. Juneja and T. R. Reddy, Meromorphic starlike univalent functions with positive coefficients, Ann. Univ. Mariae Curie Sklodowska, Sect. A, 39 (1985), 65-76.
  • [14] I. B. Jung, Y. C. Kim, H. M. Srivastava, The Hardy spaces of analytic functions associated with certain one parameter families of integral operators, J. Math. Anal. Appl., 176 (1), (1993), 138-147.
  • [15] A. Y. Lashin, On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl., 59 (1) (2010), 524-531.
  • [16] J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228.
  • [17] Ch. Pommerenke, On meromorphic starlike functions, Pac. J. Math., 13 (1963), 221-235.
  • [18] T. Ram Reddy, R. B. Sharma and K. Saroja, A new subclass of meromorphic functions with positive coefficients, Indian J. Pure Appl. Math., 44(1) (2013), 26 -29.
  • [19] W. C. Royster, Meromorphic starlike univalent functions, Trans. Amer. Math. Soc., 107 (1963), 300-308.
  • [20] B. Venkateswarlu, P. Thirupathi Reddy and N. Rani, On new subclass of meromorphically convex functions with positive coefficients, Surveys in Math. and its Appli., 14 (2019), 49-60.

A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator

Year 2019, Volume: 7 Issue: 1, 38 - 45, 15.04.2019

Abstract

The aim of the present paper is to introduce a new subclass of meromorphic functions with positive coefficients defined by a certain integral operator and obtain coefficient inequality, convex linear combinations, extreme points, radii of close-to-convexity, starlikeness, convexity, Hadamard product and integral transforms for the functions $f$ in this class.

References

  • [1] A. Akgul and S. Bulut, On a certain subclass of meromorphic functions defined by Hilbert space operator, Acta Universitatis Apulensis, (45) (2016), 1-9.
  • [2] A. Akgul, A certain subclass of meromorphic functions with positive coefficients associated with an integral operator, Honam Math. J. 39(3) (2017), 331-347.
  • [3] A. Akgul, A new subclass of meromorphic functions defined by Hilbert space operator, Honam Math. J., 38 (3) (2016), 495-506.
  • [4] A. Akgul, A new subclass of meromorphic functions with positive and fixed second coefficients defined by the Rapid-Operator, Commun. Fac. Sci. Univ. Ank. Series A1, 66 (2) (2017), 1-13 .
  • [5] A. Akgul, A subclass of meromorphic functions defined by a certain integral operator on Hilbert space , Creative Math. and Infor., 26(2) ( 2017), 115-124.
  • [6] E. Aqlan, J. M. Jhangiri and S. R. Kulkarni, Class of k􀀀uniformly convex and starlike functions , Tamkang J. Math., 35 (2004), 1-7.
  • [7] W. G. Athsan and S. R. Kulkarni and J. Rajasthan, Subclass of meromorphic functions with positive coefficients defined by Ruscheweyh derivate-I, Acad. Phy.Sci., 6(2) (2007), 129-140.
  • [8] J. Clunie, On meromorphic schilict functions, J. London Math. Soc., 34 (1959), 115-216.
  • [9] P. L. Duren, Univalent Functions, Springer, New York, NY, USA, 1983.
  • [10] F. Muge Sakar and H. Ozlem Guney, On meromorphic functions with fixed residue defined using convolution, Scientific Research and Essays, 8 (31) (2013), 1532-1539.
  • [11] F. Muge Sakar and H. Ozlem Guney, On a new subclass of harmonic meromorphic functions with fixed residue x , TWMS Journal of Applied and Engg. Math., 4(1) (2014), 92-97.
  • [12] R. M. Goel and N. S. Sohi, On a class of meromorphic functions, Glasnik Matematicki, 17(1) (1982), 19-28.
  • [13] O. P. Juneja and T. R. Reddy, Meromorphic starlike univalent functions with positive coefficients, Ann. Univ. Mariae Curie Sklodowska, Sect. A, 39 (1985), 65-76.
  • [14] I. B. Jung, Y. C. Kim, H. M. Srivastava, The Hardy spaces of analytic functions associated with certain one parameter families of integral operators, J. Math. Anal. Appl., 176 (1), (1993), 138-147.
  • [15] A. Y. Lashin, On certain subclasses of meromorphic functions associated with certain integral operators, Comput. Math. Appl., 59 (1) (2010), 524-531.
  • [16] J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228.
  • [17] Ch. Pommerenke, On meromorphic starlike functions, Pac. J. Math., 13 (1963), 221-235.
  • [18] T. Ram Reddy, R. B. Sharma and K. Saroja, A new subclass of meromorphic functions with positive coefficients, Indian J. Pure Appl. Math., 44(1) (2013), 26 -29.
  • [19] W. C. Royster, Meromorphic starlike univalent functions, Trans. Amer. Math. Soc., 107 (1963), 300-308.
  • [20] B. Venkateswarlu, P. Thirupathi Reddy and N. Rani, On new subclass of meromorphically convex functions with positive coefficients, Surveys in Math. and its Appli., 14 (2019), 49-60.
There are 20 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

P. Thirupathi Reddy

B. Venkateswarlu

S. Sreelakshmi This is me

Publication Date April 15, 2019
Submission Date January 12, 2019
Acceptance Date April 10, 2019
Published in Issue Year 2019 Volume: 7 Issue: 1

Cite

APA Thirupathi Reddy, P., Venkateswarlu, B., & Sreelakshmi, S. (2019). A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator. Konuralp Journal of Mathematics, 7(1), 38-45.
AMA Thirupathi Reddy P, Venkateswarlu B, Sreelakshmi S. A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator. Konuralp J. Math. April 2019;7(1):38-45.
Chicago Thirupathi Reddy, P., B. Venkateswarlu, and S. Sreelakshmi. “A Certain Subclass of Meromorphic With Positive Coefficients Associated With Rapid Operator”. Konuralp Journal of Mathematics 7, no. 1 (April 2019): 38-45.
EndNote Thirupathi Reddy P, Venkateswarlu B, Sreelakshmi S (April 1, 2019) A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator. Konuralp Journal of Mathematics 7 1 38–45.
IEEE P. Thirupathi Reddy, B. Venkateswarlu, and S. Sreelakshmi, “A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator”, Konuralp J. Math., vol. 7, no. 1, pp. 38–45, 2019.
ISNAD Thirupathi Reddy, P. et al. “A Certain Subclass of Meromorphic With Positive Coefficients Associated With Rapid Operator”. Konuralp Journal of Mathematics 7/1 (April 2019), 38-45.
JAMA Thirupathi Reddy P, Venkateswarlu B, Sreelakshmi S. A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator. Konuralp J. Math. 2019;7:38–45.
MLA Thirupathi Reddy, P. et al. “A Certain Subclass of Meromorphic With Positive Coefficients Associated With Rapid Operator”. Konuralp Journal of Mathematics, vol. 7, no. 1, 2019, pp. 38-45.
Vancouver Thirupathi Reddy P, Venkateswarlu B, Sreelakshmi S. A Certain Subclass of Meromorphic with Positive Coefficients Associated with Rapid Operator. Konuralp J. Math. 2019;7(1):38-45.
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