ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR

Volume: 66 Number: 1 February 1, 2017
  • Pramila Vıjaywargıya
  • Lokesh Vıjayvergy
EN

ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR

Abstract

In this paper, estimates for second and third MacLaurin coefficients of a new subclass of analytic and bi-univalent functions in the open unit disk are determined, and certain special cases are also indicated

Keywords

References

  1. A. Aral, V. Gupta and R.P.Agrawal, Applications of q-calculus in Operator Theory, Springer, New York, USA, 2013.
  2. D. A. Brannan and T. S. Taha, On some classes of bi-univalent functions, Stud. Univ. Babe¸s- Bolyai Math., 31(1986), no. 2, 70–77.
  3. P. L. Duren, Univalent Functions, Grundlehren der Mathematischen Wissenschaften Series, , Springer Verlag, New York, 1983.
  4. B. A. Frasin and M. K. Aouf, New subclasses of bi-univalent functions, Appl. Math. Lett., (2011), no. 9, 1569–1573.
  5. S. P. Goyal and P. Goswami, Estimate for initial Maclaurin coe¢ cients of bi-univalent func- tions for a class de…ned by fractional derivatives, J. Egyptian Math. Soc., 20(3)(2012), 179–
  6. F. H. Jackson, On q-de…nite integrals, Quarterly J. Pure Appl. Math. 41 (1910), 193-203.
  7. F. H. Jackson, On q-functions and a certain diğerence operator, Transactions of the Royal Society of Edinburgh 46 (1908), 253-281.
  8. V. Paatero, Uber die konforme Abbildung von Gebieten deren Rander von beschrÃxonkter Drehung sind, Ann. Acad. Sci. Fenn. Ser. A33 No. 9 (1931).

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

Pramila Vıjaywargıya This is me

Lokesh Vıjayvergy This is me

Publication Date

February 1, 2017

Submission Date

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Acceptance Date

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Published in Issue

Year 2017 Volume: 66 Number: 1

APA
Vıjaywargıya, P., & Vıjayvergy, L. (2017). ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 66(1), 199-205. https://doi.org/10.1501/Commua1_0000000789
AMA
1.Vıjaywargıya P, Vıjayvergy L. ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66(1):199-205. doi:10.1501/Commua1_0000000789
Chicago
Vıjaywargıya, Pramila, and Lokesh Vıjayvergy. 2017. “ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 (1): 199-205. https://doi.org/10.1501/Commua1_0000000789.
EndNote
Vıjaywargıya P, Vıjayvergy L (February 1, 2017) ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66 1 199–205.
IEEE
[1]P. Vıjaywargıya and L. Vıjayvergy, “ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 66, no. 1, pp. 199–205, Feb. 2017, doi: 10.1501/Commua1_0000000789.
ISNAD
Vıjaywargıya, Pramila - Vıjayvergy, Lokesh. “ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 66/1 (February 1, 2017): 199-205. https://doi.org/10.1501/Commua1_0000000789.
JAMA
1.Vıjaywargıya P, Vıjayvergy L. ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017;66:199–205.
MLA
Vıjaywargıya, Pramila, and Lokesh Vıjayvergy. “ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 66, no. 1, Feb. 2017, pp. 199-05, doi:10.1501/Commua1_0000000789.
Vancouver
1.Pramila Vıjaywargıya, Lokesh Vıjayvergy. ESTIMATE FOR INITIAL MACLAURIN COEFFICIENTS OF SUBCLASS OF BI-UNIVALENT FUNCTIONS INVOLVING THE Q- DERIVATIVE OPERATOR. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2017 Feb. 1;66(1):199-205. doi:10.1501/Commua1_0000000789

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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