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Year 2020, Volume: 3 Issue: 3, 124 - 129, 29.09.2020
https://doi.org/10.33434/cams.725158

Abstract

References

  • [1] J. Clunie, On meromorphic schlicht functions, J. Londan Math. Soc., 34 (1959), 215-216 .
  • [2] J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228 .
  • [3] Ch. Pommarenke, On meromorphic starlike functions, Pecific , J. Math., 13 (1963), 221-235 .
  • [4] B.A. Uralegaddi and M. D. Ganigi, A certain class of meromorphic celly starlike functions with positive coefficients, Pure. Appl. Math. Sci., 26 ( 1987) , 75-81.
  • [5] B. Venkateswarlu, P. Thirupathi Reddy, Ch. Meng and R. Madhuri Shilpa, A new subclass of meromorphic functions with positive coefficients defined by Bessel function, Note di Matematica (Accepted).
  • [6] E. Deniz, H. Orhan and H.M. Srivastava, Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwan J. Math., 15(2) (2011) , 883-917 .
  • [7] G. N. Watson, A treatise on the theory of Bessel functions, 2nd edn. Cambridge University Press, Cambridge, (1994).
  • [8] M. S. Robertson, Convolution of Schlicht functions, Proc. Amer. Math. Soc., 13 (1962), 585-587.
  • [9] S. K. Bajpai, A note on a class of meromorphic univalent functions, Rev. Roumanie Math. Pure Appl., 22 (1997) , 295-297.

Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function

Year 2020, Volume: 3 Issue: 3, 124 - 129, 29.09.2020
https://doi.org/10.33434/cams.725158

Abstract

The aim of the present paper is to introduce a class $\Sigma _{p}^{ *}(G,H,\tau, c )$ of meromorphic univalent functions in $E=\{0<|z|<1\}$ and investigate coefficient estimates, distortion properties and radius of convexity estimates for this class. Furthermore, it is shown that this class is closed under convex linear combinations, convolutions and integral transforms.                                                                                                                                                                                                                                                                                                                                                         

References

  • [1] J. Clunie, On meromorphic schlicht functions, J. Londan Math. Soc., 34 (1959), 215-216 .
  • [2] J. E. Miller, Convex meromorphic mapping and related functions, Proc. Amer. Math. Soc., 25 (1970), 220-228 .
  • [3] Ch. Pommarenke, On meromorphic starlike functions, Pecific , J. Math., 13 (1963), 221-235 .
  • [4] B.A. Uralegaddi and M. D. Ganigi, A certain class of meromorphic celly starlike functions with positive coefficients, Pure. Appl. Math. Sci., 26 ( 1987) , 75-81.
  • [5] B. Venkateswarlu, P. Thirupathi Reddy, Ch. Meng and R. Madhuri Shilpa, A new subclass of meromorphic functions with positive coefficients defined by Bessel function, Note di Matematica (Accepted).
  • [6] E. Deniz, H. Orhan and H.M. Srivastava, Some sufficient conditions for univalence of certain families of integral operators involving generalized Bessel functions, Taiwan J. Math., 15(2) (2011) , 883-917 .
  • [7] G. N. Watson, A treatise on the theory of Bessel functions, 2nd edn. Cambridge University Press, Cambridge, (1994).
  • [8] M. S. Robertson, Convolution of Schlicht functions, Proc. Amer. Math. Soc., 13 (1962), 585-587.
  • [9] S. K. Bajpai, A note on a class of meromorphic univalent functions, Rev. Roumanie Math. Pure Appl., 22 (1997) , 295-297.
There are 9 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Santosh M. Popade This is me

Rajkumar N. Ingle This is me

P. Thırupathı Reddy

B Venkateswarlu 0000-0003-3669-350X

Publication Date September 29, 2020
Submission Date April 22, 2020
Acceptance Date July 1, 2020
Published in Issue Year 2020 Volume: 3 Issue: 3

Cite

APA M. Popade, S., N. Ingle, R., Thırupathı Reddy, P., Venkateswarlu, B. (2020). Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function. Communications in Advanced Mathematical Sciences, 3(3), 124-129. https://doi.org/10.33434/cams.725158
AMA M. Popade S, N. Ingle R, Thırupathı Reddy P, Venkateswarlu B. Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function. Communications in Advanced Mathematical Sciences. September 2020;3(3):124-129. doi:10.33434/cams.725158
Chicago M. Popade, Santosh, Rajkumar N. Ingle, P. Thırupathı Reddy, and B Venkateswarlu. “Certain Subclass of Meromorphic Functions With Positive Coefficients Defined by Bessel Function”. Communications in Advanced Mathematical Sciences 3, no. 3 (September 2020): 124-29. https://doi.org/10.33434/cams.725158.
EndNote M. Popade S, N. Ingle R, Thırupathı Reddy P, Venkateswarlu B (September 1, 2020) Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function. Communications in Advanced Mathematical Sciences 3 3 124–129.
IEEE S. M. Popade, R. N. Ingle, P. Thırupathı Reddy, and B. Venkateswarlu, “Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function”, Communications in Advanced Mathematical Sciences, vol. 3, no. 3, pp. 124–129, 2020, doi: 10.33434/cams.725158.
ISNAD M. Popade, Santosh et al. “Certain Subclass of Meromorphic Functions With Positive Coefficients Defined by Bessel Function”. Communications in Advanced Mathematical Sciences 3/3 (September 2020), 124-129. https://doi.org/10.33434/cams.725158.
JAMA M. Popade S, N. Ingle R, Thırupathı Reddy P, Venkateswarlu B. Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function. Communications in Advanced Mathematical Sciences. 2020;3:124–129.
MLA M. Popade, Santosh et al. “Certain Subclass of Meromorphic Functions With Positive Coefficients Defined by Bessel Function”. Communications in Advanced Mathematical Sciences, vol. 3, no. 3, 2020, pp. 124-9, doi:10.33434/cams.725158.
Vancouver M. Popade S, N. Ingle R, Thırupathı Reddy P, Venkateswarlu B. Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function. Communications in Advanced Mathematical Sciences. 2020;3(3):124-9.

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