Research Article
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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.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Santosh M. POPADE This is me
Sant Tukaram College of Arts and Science
India


Rajkumar N. INGLE This is me
Bahirji Smarak Mahavidyalay
India


P. THIRUPATHI REDDY
Kakatiya University
India


B VENKATESWARLU
GITAM University
0000-0003-3669-350X
India

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

Bibtex @research article { cams725158, journal = {Communications in Advanced Mathematical Sciences}, issn = {2651-4001}, address = {}, publisher = {Emrah Evren KARA}, year = {2020}, volume = {3}, number = {3}, pages = {124 - 129}, doi = {10.33434/cams.725158}, title = {Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function}, key = {cite}, author = {M. Popade, Santosh and N. Ingle, Rajkumar and Thırupathı Reddy, P. and Venkateswarlu, B} }
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 . DOI: 10.33434/cams.725158
MLA 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 3 (2020 ): 124-129 <https://dergipark.org.tr/en/pub/cams/issue/56960/725158>
Chicago 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 3 (2020 ): 124-129
RIS TY - JOUR T1 - Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function AU - SantoshM. Popade, RajkumarN. Ingle, P.Thırupathı Reddy, BVenkateswarlu Y1 - 2020 PY - 2020 N1 - doi: 10.33434/cams.725158 DO - 10.33434/cams.725158 T2 - Communications in Advanced Mathematical Sciences JF - Journal JO - JOR SP - 124 EP - 129 VL - 3 IS - 3 SN - 2651-4001- M3 - doi: 10.33434/cams.725158 UR - https://doi.org/10.33434/cams.725158 Y2 - 2020 ER -
EndNote %0 Communications in Advanced Mathematical Sciences Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function %A Santosh M. Popade , Rajkumar N. Ingle , P. Thırupathı Reddy , B Venkateswarlu %T Certain Subclass of Meromorphic Functions with Positive Coefficients Defined by Bessel Function %D 2020 %J Communications in Advanced Mathematical Sciences %P 2651-4001- %V 3 %N 3 %R doi: 10.33434/cams.725158 %U 10.33434/cams.725158
ISNAD M. Popade, Santosh , N. Ingle, Rajkumar , Thırupathı Reddy, P. , Venkateswarlu, B . "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
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. 2020; 3(3): 124-129.
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): 124-129.
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, Sep. 2020, doi:10.33434/cams.725158
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