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Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions

M.K. Singh1 , S. Porwal2

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.168-171, Apr-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.168171


Online published on Apr 30, 2019


Copyright © M.K. Singh, S. Porwal . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: M.K. Singh, S. Porwal, “Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.2, pp.168-171, 2019.

MLA Style Citation: M.K. Singh, S. Porwal "Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.2 (2019): 168-171.

APA Style Citation: M.K. Singh, S. Porwal, (2019). Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(2), 168-171.

BibTex Style Citation:
@article{Singh_2019,
author = {M.K. Singh, S. Porwal},
title = {Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {4 2019},
volume = {6},
Issue = {2},
month = {4},
year = {2019},
issn = {2347-2693},
pages = {168-171},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1228},
doi = {https://doi.org/10.26438/ijcse/v6i2.168171}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i2.168171}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1228
TI - Some Sufficient Conditions of Generalized Distribution Series on Univalent Functions
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - M.K. Singh, S. Porwal
PY - 2019
DA - 2019/04/30
PB - IJCSE, Indore, INDIA
SP - 168-171
IS - 2
VL - 6
SN - 2347-2693
ER -

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Abstract :
The purpose of the present paper is to obtain some sufficient conditions for the generalized distribution series belonging to the certain classes of analytic univalent functions.

Key-Words / Index Term :
Analytic, Univalent functions, generalized Distribution

References :
[1] M.S. Robertson, “On the theory of univalent functions”, Ann. Math., Vol. 37, pp. 374-408, 1936.
[2] H. Silverman, “Univalent functions with negative coefficients”, Proc. Amer. Math. Soc., Vol. 51 Issue 1, pp. 109-116, 1975.
[3] O. Altintas, Ö. Özkan, H.M. Srivastava, “Neighborhoods of a class of analytic functions with negative coefficients”, Appl. Math. Lett., Vol. 13, Issue. 3, pp. 63-67, 2000
[4] K.K. Dixit, S.K. Pal, “On a class of univalent functions related to complex order”, Indian J. Pure Appl. Math., Vol. 26 Issue. 9, pp. 889-896, 1995.
[5] S. Porwal, “An application of a Poisson distribution series on certain analytic functions”, J. Complex Anal., Vol. 2014, Art. ID 984135, pp. 1-3, 2014.
[6] W. Nazeer and A.U. Haq, “An application of a Hypergeometric distribution series on certain analytic functions”, Sci. Int. (Lahore), Vol. 27 Issue. 4, pp. 2989-2992, 2015.
[7] S. Porwal, S. Kumar, “Confluent hypergeometric distribution and its applications on certain classes of univalent functions”, Afr. Mat., Vol. 28 Issue.(1-2), pp. 1-8, 2017.
[8] W. Nazeer, Q. Mehmood, S.M. Kang, A.U. Haq, “An application of a Binomial distribution series on certain analytic functions”, J. Comput. Anal. Appl., Vol. 26 Issue. 1, pp. 11-17, 2019.
[9] S. Porwal, “Generalized distribution and its geometric properties associated with univalent functions”, J. Complex Anal., Vol. 2018, Art. ID 8654506, pp. 1-5, 2018.
[10] G. Murugusundaramoorthy, “Subclasses of starlike and convex functions involving Poisson distribution series”, Afr. Mat., Vol. 28 Issue. (7-8), pp. 1357-1366, 2017.

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